Math Homework Answers - Recent questions and answers in Other Math Topics
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Powered by Question2AnswerAnswered: one gallon divided by 10 equals
https://www.mathhomeworkanswers.org/239840/one-gallon-divided-by-10-equals?show=239852#a239852
<p style="text-align: justify;">1/10 gallon is 8/10 pints=4/5 or 0.8 pints. If you live in US this is 4*16/5=12.8 fl oz, or UK is 4*20/5=16 fl oz.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/239840/one-gallon-divided-by-10-equals?show=239852#a239852Fri, 24 Mar 2017 09:38:12 +0000by schwarz lemma
https://www.mathhomeworkanswers.org/239601/by-schwarz-lemma
if f is analytic and |f(z)|<1 for |z|<1 , show that |f(z)|<= ( |f(0)| +|z| )/ (1+ |f(0)| |z|)Other Math Topicshttps://www.mathhomeworkanswers.org/239601/by-schwarz-lemmaSun, 19 Mar 2017 09:11:34 +0000Answered: if i divide 2i by x^3-3x^2+4x-12 using synthetic division what is my answer
https://www.mathhomeworkanswers.org/111386/divide-2i-by-4x-12-using-synthetic-division-what-is-my-answer?show=239442#a239442
<p>I think you mean divide into rather than divide by:</p>
<p>2i | 1 -3 4 -12</p>
<p> <span style="text-decoration: underline;">1 2i -4-6i 12</span></p>
<p> 1 -3+2i -6i | 0</p>
<p>Answer: x^2+(-3+2i)x-6i</p>Other Math Topicshttps://www.mathhomeworkanswers.org/111386/divide-2i-by-4x-12-using-synthetic-division-what-is-my-answer?show=239442#a239442Wed, 15 Mar 2017 09:05:44 +0000Answered: what fraction is twice as much as 2/5
https://www.mathhomeworkanswers.org/127016/what-fraction-is-twice-as-much-as-2-5?show=239441#a239441
2/5*2<br />
<br />
=4/5Other Math Topicshttps://www.mathhomeworkanswers.org/127016/what-fraction-is-twice-as-much-as-2-5?show=239441#a239441Wed, 15 Mar 2017 09:02:59 +0000Answered: Draw a triangleABC in which BC =12cm ,AB =5cm and <B =90° construct a triangle simalar to triangle ABC with scale factor 2/3
https://www.mathhomeworkanswers.org/239431/triangleabc-which-construct-triangle-simalar-triangle-factor?show=239435#a239435
<p style="text-align:justify"><img alt="" src="http://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=538538284649978248" style="height:211px; width:450px"></p>
<p style="text-align:justify">Triangles ABC and DEC are similar, with DEC:ABC=2:3. The ratio is that of the sides not of the areas.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/239431/triangleabc-which-construct-triangle-simalar-triangle-factor?show=239435#a239435Wed, 15 Mar 2017 00:48:41 +0000Answered: (1-2y)(1+2y)>=0
https://www.mathhomeworkanswers.org/239395/1-2y-1-2y-0?show=239433#a239433
<p style="text-align:justify">First let's deal with the equals case. This means the solution is y=1/2 or y=-1/2. This will make one or other of the contents of the brackets zero, so the product is zero.</p>
<p style="text-align:justify">Now deal with the inequality. To satisfy greater than zero, the contents of the brackets must both be positive or both negative. Therefore 1-2y>0 and 1+2y>0, so 2y<1 and 2y>-1. Therefore y<1/2 and y>-1/2 which is written -1/2<y<1/2. But we also know that y=1/2 or y=-1/2 are solutions, therefore we can write -1/2≤y≤1/2.</p>
<p style="text-align:justify">To satisfy both negative, 1-2y<0, so 2y>1, y>1/2 and 1+2y<0, so y<-1/2. These conditions cannot both be satisfied with the same value of y, therefore the only solution is -1/2≤y≤1/2, that is y is between -1/2 and 1/2 inclusive.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/239395/1-2y-1-2y-0?show=239433#a239433Wed, 15 Mar 2017 00:29:36 +0000Answered: What 3.74 rounded to the nearest half?
https://www.mathhomeworkanswers.org/239311/what-3-74-rounded-to-the-nearest-half?show=239320#a239320
<p style="text-align: justify;">The close halves to 3.74 are 3.5 and 4.0. 3.74-3.5=0.24 and 4-3.74=0.26. So 3.5 is nearer and 3.5 is therefore the nearest half, because 0.24 is smaller than 0.26.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/239311/what-3-74-rounded-to-the-nearest-half?show=239320#a239320Mon, 13 Mar 2017 08:31:41 +0000Answered: divide 220 in ratio of 3:8
https://www.mathhomeworkanswers.org/239307/divide-220-in-ratio-of-3-8?show=239308#a239308
<p style="text-align: justify;">Add the proportions together: 8+3=11 and divide this into 220 to give 20. Now multiply by the proportions:
<br>
<br>
3*20=60, 8*20=160. So we have 60:160.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/239307/divide-220-in-ratio-of-3-8?show=239308#a239308Sun, 12 Mar 2017 10:36:17 +0000Answered: Arrange the fallowing numbers in order 5.6,605/100,6.15,6 56/100,516/100,6.5
https://www.mathhomeworkanswers.org/239286/arrange-the-fallowing-numbers-in-order-605-100-56-100-516-100?show=239296#a239296
First multiply each by 100:<br />
<br />
560, 605, 615, 656, 516, 650.<br />
<br />
Now just arrange these whole numbers in order:<br />
<br />
516, 560, 605, 615, 650, 656.<br />
<br />
Now return the numbers to their original form:<br />
<br />
516/100, 5.6, 605/100, 6.15, 6.5, 656/100.Other Math Topicshttps://www.mathhomeworkanswers.org/239286/arrange-the-fallowing-numbers-in-order-605-100-56-100-516-100?show=239296#a239296Fri, 10 Mar 2017 19:01:12 +0000Answered: Just finding out whether anonymous questions are allowed
https://www.mathhomeworkanswers.org/239288/just-finding-out-whether-anonymous-questions-are-allowed?show=239294#a239294
Yes, they areOther Math Topicshttps://www.mathhomeworkanswers.org/239288/just-finding-out-whether-anonymous-questions-are-allowed?show=239294#a239294Fri, 10 Mar 2017 18:51:09 +0000Answered: (1-2x+3x^2)^1/2
https://www.mathhomeworkanswers.org/239222/1-2x-3x-2-1-2?show=239225#a239225
<p style="text-align:justify">Work out the coefficients first: 1/2, 1/2(-1/2)/2, 1/2(-1/2)(-3/2)/6 = 1/2, -1/8, 1/16.</p>
<p style="text-align:justify">The x terms are -2x+3x^2, (-2x+3x^2)^2, (-2x+3x^2)^3 = -2x+3x^2, 4x^2-12x^3+9x^4, -8x^3+36x^4-54x^5+27x^6</p>
<p>So the first four terms are:</p>
<p>1-x+3x^2/2-x^2/2+3x^3/2-9x^4/8-x^3/2+9x^4/4-27x^5/8+27x^6/16 =</p>
<p>1-x+x^2-x^3+9x^4/8-27x^5/8+27x^6/16 or 1-x+x^2-x^3 if you mean the first four terms of the polynomial.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/239222/1-2x-3x-2-1-2?show=239225#a239225Mon, 06 Mar 2017 21:59:44 +0000Answered: Mike will pay Billy 2/5 of 1/2 of the profits or 1/3 of 3/4 of the stands profits. which should Billy choose to maximize his profits and by how much will he increase his earnings?
https://www.mathhomeworkanswers.org/239202/profits-stands-profits-maximize-profits-increase-earnings?show=239211#a239211
<p style="text-align:justify">2/5*1/2=1/5; 1/3*3/4=1/4 so Billy should choose the second one. 1/4-1/5=(5-4)/20=1/20. He will increase his earnings by 1/20 or 100/20=5% compared with the first one. 1/4 is 100/4=25%.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/239202/profits-stands-profits-maximize-profits-increase-earnings?show=239211#a239211Mon, 06 Mar 2017 19:32:53 +0000Answered: A solid bar in the shape of a cuboid of length 250cm, the cross section is Xcm, the volume is 4840cm^3 a) show that X =4.4
https://www.mathhomeworkanswers.org/215373/solid-shape-cuboid-length-250cm-cross-section-volume-4840cm?show=239199#a239199
4840=250*X*X<br />
<br />
Square root 4840/250=X<br />
<br />
X=4.4cm <br />
<br />
Sorry I don't know what character to use for the Square root.Other Math Topicshttps://www.mathhomeworkanswers.org/215373/solid-shape-cuboid-length-250cm-cross-section-volume-4840cm?show=239199#a239199Mon, 06 Mar 2017 19:23:56 +0000Answered: (x^3-1)(2x^2+3x+1)=0
https://www.mathhomeworkanswers.org/239184/x-3-1-2x-2-3x-1-0?show=239196#a239196
<p style="text-align: justify;">x^3-1=(x-1)(x^2+x+1) and 2x^2+3x+1=(2x+1)(x+1).</p>
<p style="text-align:justify">So the complete factorisation and equation is (x-1)(x^2+x+1)(2x+1)(x+1)=0</p>
<p style="text-align: justify;">The roots are <strong>x=1, x=-1/2, x=-1</strong>.</p>
<p style="text-align: justify;">This can be taken further using complex numbers:</p>
<p style="text-align: justify;">x^2+x+1=x^2+x+1/4+(1-1/4)=(x+1/2)^2+3/4=(x+1/2+i√3/2)(x+1/2-i√3/2) where i=√-1.</p>
<p style="text-align: justify;">Additional roots are <strong>x=-1/2-i√3/2 and x=-1/2+i√3/2</strong>.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/239184/x-3-1-2x-2-3x-1-0?show=239196#a239196Sun, 05 Mar 2017 16:31:40 +0000Answered: what is 22 tens minus 22 tenths
https://www.mathhomeworkanswers.org/239183/what-is-22-tens-minus-22-tenths?show=239193#a239193
<p><em>what is 22 tens minus 22 tenths?</em></p>
<p>22 tens is 22 * 10 = 220</p>
<p>22 tenths is 22 * 1/10 = 2.2</p>
<p>So, 22 tens minus 22 tenths is 220 - 2.2 = 217.8</p>
<p><span style="text-decoration: underline;"><strong>Answer: 217.8</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/239183/what-is-22-tens-minus-22-tenths?show=239193#a239193Sun, 05 Mar 2017 07:21:28 +0000Answered: Common fractions
https://www.mathhomeworkanswers.org/239175/common-fractions?show=239179#a239179
We add the given fractions: 2+1/2+1/4 we get 11/4. Take 1 away from 100=99.<br />
<br />
So 11/4 times the class size=99, and the class size=4/11*99=36.<br />
<br />
CHECK: apply the fractions to the class size: 72+18+9=99, add 1=100.Other Math Topicshttps://www.mathhomeworkanswers.org/239175/common-fractions?show=239179#a239179Sat, 04 Mar 2017 17:27:16 +0000Answered: common fractions
https://www.mathhomeworkanswers.org/239174/common-fractions?show=239178#a239178
<p><em>john asks thabo how many learners there are in his class.thabo answers:"if you take twice our number, plus half of our number, plus a quater of our number, plus 1, the answer is 100. how many learners are there in thabo's class?</em></p>
<p>OK, let's do some maths on this.</p>
<p>twice our number, plus half of our number, plus a quater of our number, plus 1, the answer is 100</p>
<p>now put N as the value of that number, then</p>
<p>twice N, plus half of N, plus a quater of N, plus 1, makes the answer equal to 100</p>
<p>now make an equation out of it.</p>
<p>2 * N + (1/2) * N + (1/4) * N + 1 = 100</p>
<p>weite this more compactly as</p>
<p>2N + N/2 + N/4 + 1 = 100</p>
<p>Take out N as a common factor.</p>
<p>N(2 + 1/2 + 1/4) + 1 = 100</p>
<p>add up the numbers</p>
<p>N(2 3/4) = 99</p>
<p>N(11/4) = 99</p>
<p>N(1/4) = 9</p>
<p><span style="text-decoration: underline;"><strong>N = 36</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/239174/common-fractions?show=239178#a239178Sat, 04 Mar 2017 17:27:01 +0000Answered: If M=√2÷√(×+3)(×-2) determine the value of × for which M is real
https://www.mathhomeworkanswers.org/239172/if-m-%E2%88%9A2-%E2%88%9A-3-2-determine-the-value-of-for-which-m-is-real?show=239173#a239173
<p style="text-align:justify">This is easier than it looks. The square root term including x is only meaningful in this context when the quantity under the square root is strictly positive, so (x+3)(x-2)>0. </p>
<p style="text-align:justify">So we have just 2 conditions when this is positive: x+3 and x-2 are both positive; and x+3 and x-2 are both negative. Both positive means x+3>0 and x-2>0, so x>-3 and x>2. Since 2>-3, x>2 satisfies both inequalities. </p>
<p style="text-align:justify">Now when are they both negative? x+3<0 and x-2<0, so x<-3 and x<2. Since -3<2 then x<-3 satisfies both inequalities. So there you have it: M is real when x>2 or x<-3.</p>
<p style="text-align:justify">But if √2x is the numerator rather than √2 and the expression is √(2x) rather than (√2)x, we must eliminate x<-3 leaving x>2 as the solution.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/239172/if-m-%E2%88%9A2-%E2%88%9A-3-2-determine-the-value-of-for-which-m-is-real?show=239173#a239173Sat, 04 Mar 2017 14:08:04 +0000Answered: how do you round devimals to whole numbers
https://www.mathhomeworkanswers.org/127235/how-do-you-round-devimals-to-whole-numbers?show=239098#a239098
<p>Rules for rounding decimals to the nearest whole number:
<br>
● To round a decimal to the nearest whole number analyse the digit at the first decimal place i.e., tenths place.
<br>
● If the tenths place value is 5 or greater than 5, then the digit at the ones place increases by 1 and the digits at the tenths place and thereafter becomes 0.
<br>
For example;
<br>
(i) 9.63 →
<br>
In 9.63 analyse the digit at the tenths place. Here 6 is more than 5. Therefore we have to round the number up to the nearest whole number 10.
<br>
(ii) 78.537 →
<br>
In 78.537 analyse the digit at the tenths place. Here 5 is equal to 5. Therefore we have to round the number up to the nearest whole number 79.
<br>
● If the tenths place value is less than 5, then the digit at the ones place remains the same but the digits at the tenths place and thereafter becomes 0. Check for <a rel="nofollow" href="https://reviews.clazwork.com">essay writing service</a>.</p>
<p> </p>Other Math Topicshttps://www.mathhomeworkanswers.org/127235/how-do-you-round-devimals-to-whole-numbers?show=239098#a239098Sat, 04 Mar 2017 13:57:57 +0000Answered: The base area of a rectangular prism is 85cm. The height of the rectangular prism is 9cm. What is the volume?
https://www.mathhomeworkanswers.org/239094/rectangular-prism-85cm-height-rectangular-prism-what-volume?show=239097#a239097
<p><em>The base area of a rectangular prism is 85cm. The height of the rectangular prism is 9cm. What is the volume of the rectangular prism?</em></p>
<p>The volume of any regular object like this is Vol = area of base x height</p>
<p>V = 85 x 9 = 765 (I assume that the base area is actually 85 <strong>cm^2</strong>)</p>
<p><span style="text-decoration: underline;"><strong>Volume of prism = 765 cc</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/239094/rectangular-prism-85cm-height-rectangular-prism-what-volume?show=239097#a239097Fri, 03 Mar 2017 07:28:42 +0000Answered: how to make a conjecture
https://www.mathhomeworkanswers.org/239079/how-to-make-a-conjecture?show=239089#a239089
<p>Let x=√2, so x^2=2.</p>
<p style="text-align:justify">Suppose we don't know how to evaluate √2 or the square root of any number that isn't a perfect square.</p>
<p style="text-align:justify">But we can observe that the fraction (100-2)/49=2, and 100/49=(10/7)^2. Therefore we can write 2=(10/7)^2(1-0.02). That is, x^2=(10/7)^2(1-0.02) and taking square roots of each side we get x=(10/7)√(1-0.02). Although we can't evaluate the square root, we know it must be a little smaller than 1.</p>
<p style="text-align:justify">We also observe that (10000+82)/5041=2, and 10000/5041=(100/71)^2. Therefore we can write 2=(100/71)^2(1+0.0082). That is, x^2=(100/71)^2(1+0.0082) and taking square roots of each side we get x=(100/71)√(1+0.0082). Although we can't evaluate the square root, we know it must be a little bigger than 1.</p>
<p style="text-align:justify">Therefore x<10/7 and x>100/71, or 100/71<x<10/7. Since x=√2 we have shown that the value of √2 lies between 100/71 and 10/7. Thus an irrational number is trapped between two rational fractions---this is a conjecture based on the example: what applies to one irrational number can be conjectured to apply to all such numbers. </p>
<p style="text-align:justify">Another example is √3 which lies between 12/7 and 7/4; or 20/9<√5<9/4. In general:</p>
<p style="text-align:justify">na/b<√n<b/a where b/a is an approximation to √n which is greater than √n, i.e., (b/a)^2>n. For example, 14/10<√2<10/7, which is the same as 7/5<√2<10/7, because 49/25<2<100/49. This strengthens the conjecture, because fractions can always be found, however crude the approximation. By taking the average of the limits of the range we arrive at another approximation and we can use this to define another pair of limits, so narrowing the interval for √n. So the average is (na^2+b^2)/(2ab) which will define one of the limits, and hence determine the other. In the case of n=2 we have the next limits as 140/99<√2<99/70. Therefore we have a quadratic formed from x=(na^2+b^2)/2ab or na^2+b^2-2abx=0 which is solved for x rather than a or b, and this gives us progressively accurate values for x=√n as a and b are progressively redefined.</p>
<p style="text-align:justify"> </p>Other Math Topicshttps://www.mathhomeworkanswers.org/239079/how-to-make-a-conjecture?show=239089#a239089Thu, 02 Mar 2017 20:05:01 +0000Answered: describe and correct the error in writing a proportion to find the cost of 30 pencils if 12 pencils cost $2.00
https://www.mathhomeworkanswers.org/239080/describe-correct-error-writing-proportion-pencils-pencils?show=239081#a239081
The proportion is 30/12 * 2=30/6=$5.<br />
<br />
30 is 2½ times 12 so the cost of 30 pencils will be 2½ the cost of 12, which 2½*2=$5.Other Math Topicshttps://www.mathhomeworkanswers.org/239080/describe-correct-error-writing-proportion-pencils-pencils?show=239081#a239081Thu, 02 Mar 2017 18:33:36 +0000Answered: 3.02382(28.05316)1000+1.00794
https://www.mathhomeworkanswers.org/239040/3-02382-28-05316-1000-1-00794?show=239046#a239046
<p>Using a calculator: <a href="denied:tel:84828.71421" rel="nofollow">84828.71421</a> (10 significant figures accuracy)</p>
<p>Breaking the arithmetic down:</p>
<p>(3+0.02382)(28+0.05316)1000+1.00794,</p>
<p>(84+0.15948+0.66696+<a href="denied:tel:0.0012662712" rel="nofollow">0.0012662712</a>)1000+1.00794,</p>
<p>84000+159.48+666.96+<a href="denied:tel:1.2662712" rel="nofollow">1.2662712</a>+1.00794,</p>
<p>84827+<a href="denied:tel:1.7142112" rel="nofollow">1.7142112</a>=<a href="denied:tel:84828.7142112" rel="nofollow">84828.7142112</a> (fully accurate)</p>
<p> </p>Other Math Topicshttps://www.mathhomeworkanswers.org/239040/3-02382-28-05316-1000-1-00794?show=239046#a239046Wed, 01 Mar 2017 10:14:00 +0000Answered: 2.Which is a correct classification of DEF with vertices D(-3,-2). E(-2,3) and F(1,0)?
https://www.mathhomeworkanswers.org/127379/which-is-correct-classification-of-def-with-vertices-3-and-0?show=238931#a238931
2. Scalene triangle<br />
<br />
3. Insufficient info; but guess AD=BC, so 5y+7=7y-3; 10=2y, y=5<br />
<br />
4. c<br />
<br />
5. cOther Math Topicshttps://www.mathhomeworkanswers.org/127379/which-is-correct-classification-of-def-with-vertices-3-and-0?show=238931#a238931Sun, 26 Feb 2017 15:46:27 +0000Answered: express in standard firm x(x-m)=2x-m
https://www.mathhomeworkanswers.org/127307/express-in-standard-firm-x-x-m-2x-m?show=238928#a238928
Expand brackets: x^2-mx=2x-m. x^2-mx-2x+m=0.<br />
<br />
Standard form x^2-(m+2)x+m=0.Other Math Topicshttps://www.mathhomeworkanswers.org/127307/express-in-standard-firm-x-x-m-2x-m?show=238928#a238928Sun, 26 Feb 2017 12:54:46 +0000Answered: Solve for x, 2[x+2/2x-3]-9[2x-3/x+2]=3, x is not equal to -2 and 3/2
https://www.mathhomeworkanswers.org/238910/solve-for-x-2-x-2-2x-3-9-2x-3-x-2-3-x-is-not-equal-to-2-and-3-2?show=238917#a238917
<p><a rel="nofollow" href="http://mathhomeworkanswers.org/238910/solve-for-x-2-x-2-2x-3-9-2x-3-x-2-3-x-is-not-equal-to-2-and-3-2">Solve for x, 2[x+2/2x-3]-9[2x-3/x+2]=3, x is not equal to -2 and 3/2 </a></p>
<p>I assume the equation should be,</p>
<p>2[(x + 2)/(2x - 3)] - 9[(2x-3)/(x + 2)] = 3 multiply both sides by (2x - 3)(x + 2)</p>
<p>2(x + 2)^2 - 9(2x-3)^2 = 3(2x - 3)(x + 2) expanding the brackets</p>
<p>2x^2 + 8x + 8 - 36x^2 + 108x - 81 = 6x^2 + 3x - 18</p>
<p>40x^2 - 113x + 55 = 0</p>
<p>(8x - 5)(5x - 11) = 0</p>
<p><span style="text-decoration: underline;"><strong>Answer: x = 5/8, x = 11/5</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/238910/solve-for-x-2-x-2-2x-3-9-2x-3-x-2-3-x-is-not-equal-to-2-and-3-2?show=238917#a238917Sat, 25 Feb 2017 21:30:09 +0000Answered: If x is to 9 as 8 is to 12, then x is equal to
https://www.mathhomeworkanswers.org/196104/if-x-is-to-9-as-8-is-to-12-then-x-is-equal-to?show=238911#a238911
<p><span style="font-family:georgia,serif"><span style="color:#FF0000">the answer is six</span></span></p>
<p><span style="font-family:georgia,serif"><span style="color:#FF0000">your welcome for the help im very sure of this answer</span></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/196104/if-x-is-to-9-as-8-is-to-12-then-x-is-equal-to?show=238911#a238911Sat, 25 Feb 2017 18:05:27 +0000Answered: adx/(b-c)yz=bdy/(c-a)zx=cdz/(a-b)xy
https://www.mathhomeworkanswers.org/238815/adx-b-c-yz-bdy-c-a-zx-cdz-a-b-xy?show=238816#a238816
<p style="text-align:justify">(1) I am assuming this is not a calculus question where dx, dy and dz have a different meaning.</p>
<p style="text-align:justify"><span style="background-color:rgba(255, 255, 255, 0)">Variable d can be removed as a common factor:</span></p>
<p style="text-align:justify"><span style="background-color:rgba(255, 255, 255, 0)">ax/((b-c)yz)=by/((c-a)zx)=cz/((a-b)xy)</span></p>
<p style="text-align:justify"><span style="background-color:rgba(255, 255, 255, 0)">Take the first pair and remove common factor z:</span></p>
<p style="text-align:justify"><span style="background-color:rgba(255, 255, 255, 0)">ax/((b-c)y)=by/((c-a)x); ax^2(c-a)=by^2(b-c); ax^2=by^2(b-c)/(c-a); by^2=ax^2(c-a)/(b-c)</span></p>
<p style="text-align:justify"><span style="background-color:rgba(255, 255, 255, 0)">The second pair have common factor x:</span></p>
<p style="text-align:justify"><span style="background-color:rgba(255, 255, 255, 0)">by^2(a-b)=cz^2(c-a); by^2=cz^2(c-a)/(a-b); cz^2=by^2(a-b)/(c-a)</span></p>
<p style="text-align:justify"><span style="background-color:rgba(255, 255, 255, 0)">First and last have common factor y:</span></p>
<p style="text-align:justify"><span style="background-color:rgba(255, 255, 255, 0)">ax^2(a-b)=cz^2(b-c); ax^2=cz^2(b-c)/(a-b); cz^2=ax^2(a-b)/(b-c)</span></p>
<p style="text-align:justify"><span style="background-color:rgba(255, 255, 255, 0)">We have a pair of equations for each of the three quantities ax^2, by^2, cz^2.</span></p>
<p><span style="background-color:rgba(255, 255, 255, 0)">So,</span></p>
<p>ax^2=by^2(b-c)/(c-a)=cz^2(b-c)/(a-b), by^2/(c-a)=cz^2/(a-b) or</p>
<p>(A) by^2/(cz^2)=(c-a)/(a-b)</p>
<p>by^2=ax^2(c-a)/(b-c)=cz^2(c-a)/(a-b), ax^2/(b-c)=cz^2/(a-b) or</p>
<p>(B) ax^2/(cz^2)=(b-c)/(a-b)</p>
<p>cz^2=by^2(a-b)/(c-a)=ax^2(a-b)/(b-c), by^2/(c-a)=ax^2/(b-c) or</p>
<p>(C) by^2/(ax^2)=(c-a)/(b-c)</p>
<p>The relative sizes of a, b and c can be:</p>
<p>(1) a<b<c (2) a<c<b (3) b<a<c (4) b<c<a (5) c<a<b (6) c<b<a</p>
<p style="text-align:justify">The quotient of two squares is always positive, so we can see the relative signs of the quotients of the other variables.</p>
<p style="text-align:justify">Apply each of these to (A), (B) and (C), looking for consistency:</p>
<p style="text-align:justify">(1A)<0 implies bc<0 and b<0, c>0 because b<c (1B)>0 implies ac>0 and a>0 because c>0 (1C)<0 implies ab<0 and b<0 so b<a, but b>a: INCONSISTENT</p>
<p style="text-align:justify">(2A)<0 implies bc<0 and b>0, c<0 because b>c (2B)<0 implies ac<0 and a>0 because c<0 (2C)>0 implies ab>0 and b>0 but c<0 and a>0 making c<a, but c>a: INCONSISTENT</p>
<p style="text-align:justify">(3A)>0 implies bc>0 (3B)<0 implies ac<0 and a<0, c>0 and b>0 because a<c (3C)<0 implies ab<0 and b>0 and so b>a, but b<a: INCONSISTENT</p>
<p style="text-align:justify">(4A)<0 implies bc<0 and b<0, c>0 because b<c (4B)<0 implies ac<0 and a<0 because c>0 (4C)>0 implies ab>0, true, because a and b are both negative, but c<a making c<0 when c>0: INCONSISTENT</p>
<p style="text-align:justify">(5A)>0 implies bc>0 (5B)<0 implies ac<0 and c<0, b<0, a>0 because a>c (5C)<0 implies ab<0, but b>a which cannot be if b<0: INCONSISTENT</p>
<p style="text-align:justify">(6A)<0 implies bc<0 and c<0, b>0 because b>c (6B)>0 implies ac>0 and a<0, but b<a and b>0 which cannot be: INCONSISTENT</p>
<p style="text-align:justify">So there are no solutions because there is inconsistency throughout.</p>
<p style="text-align:justify">(2) I am assuming this is a calculus problem.</p>
<p>Assume a, b and c are constants and x, y and z are variables.</p>
<p>adx/((b-c)y)=bdy/((c-a)x); b(b-c)ydy=a(c-a)xdx</p>
<p style="text-align:justify">Integrating: b(b-c)y^2/2=a(c-a)x^2/2 (constant to be added later)</p>
<p>a(c-a)x^2-b(b-c)y^2=k a constant.</p>
<p style="text-align:justify">A similar result follows for the other two pairs of variables (x,z and y,z) by separation of variables and using the other two pairs of equations:</p>
<p style="text-align:justify">a(a-b)x^2-c(b-c)z^2=p and b(a-b)y^2-c(c-a)z^2=q</p>
<p style="text-align:justify"> </p>Other Math Topicshttps://www.mathhomeworkanswers.org/238815/adx-b-c-yz-bdy-c-a-zx-cdz-a-b-xy?show=238816#a238816Thu, 23 Feb 2017 20:06:26 +0000Answered: Make x the subject: y/x^2 = (1-1/x^2)/(x^2 - x)
https://www.mathhomeworkanswers.org/238679/make-x-the-subject-y-x-2-1-1-x-2-x-2-x?show=238731#a238731
<p><a href="http://mathhomeworkanswers.org/238679/make-x-the-subject-y-x-2-1-1-x-2-x-2-x" rel="nofollow">Make x the subject: y/x^2 = (1-1/x^2)/(x^2 - x) </a></p>
<p>y/x^2 = (1-1/x^2)/(x^2 - x) (multiply both sides by x^2)</p>
<p>y = (x^2 - 1)/(x^2 - x) (now factorise both top and bottom of rhs)</p>
<p>y = [(x - 1)(x + 1)] / [x(x - 1)] cancel the common factor, (x - 1)</p>
<p>y = (x + 1)/x</p>
<p>y = 1 + 1/x</p>
<p>1/x = y - 1</p>
<p><span style="text-decoration: underline;"><strong>x = 1/(y - 1)</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/238679/make-x-the-subject-y-x-2-1-1-x-2-x-2-x?show=238731#a238731Thu, 23 Feb 2017 07:05:31 +0000Answered: 57436+23521 using method 1
https://www.mathhomeworkanswers.org/238637/57436-23521-using-method-1?show=238675#a238675
<p style="text-align:justify">Whatever method is used the answer will be the same:</p>
<p style="text-align:justify"> </p>
<p style="text-align:justify"> </p>
<p style="text-align:justify">57436 +</p>
<p style="text-align:justify"><span style="text-decoration: underline;">23521</span></p>
<p style="text-align:justify">70957 +</p>
<p style="text-align:justify"><span style="text-decoration: underline;">10000</span></p>
<p style="text-align:justify"><span style="text-decoration: underline;">80957</span> because 7+3=10 so there is a carryover to the next column on the left.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/238637/57436-23521-using-method-1?show=238675#a238675Wed, 22 Feb 2017 21:11:38 +0000Answered: 100951765:82872581::6571564:?
https://www.mathhomeworkanswers.org/238571/100951765-82872581-6571564?show=238664#a238664
<p style="text-align: justify;">If the question means 100951765/82872581=6571564/? Then the answer is:</p>
<p style="text-align: justify;">6571564*82872581/100951765=5394680 approx.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/238571/100951765-82872581-6571564?show=238664#a238664Wed, 22 Feb 2017 20:38:25 +0000Answered: What is the height of a lamp whose radii are 20cm and 30cm and slant height is 40cm respectively
https://www.mathhomeworkanswers.org/238493/what-height-whose-radii-20cm-slant-height-40cm-respectively?show=238584#a238584
<p>The lamp appears to be a truncated cone.</p>
<p><img alt="" src="http://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=6871210289673334005" style="height:461px; width:250px"></p>
<p style="text-align:justify">To find the dimensions of the full cone we use similar right triangles, half the width of the lamp. The slant height of the top part of the cone we call x so the slant height of the whole cone is x+40, and we have x/(x+40)=20/30=2/3 because the cross-section of the cones form similar triangles. Therefore, cross-multiplying we have 3x=2(x+40)=2x+80, and from this x=80. The total slant height of the large cone is 80+40=120.</p>
<p style="text-align:justify">The vertical height of the full cone is √(120^2-30^2) (Pythagoras)=30√15 and the height of the smaller cone is √(80^2-20^2)=20√15 (or 2/3*30√15) so the height of the lamp is the difference=10√15=38.73cm approx.</p>
<p style="text-align:justify"> </p>Other Math Topicshttps://www.mathhomeworkanswers.org/238493/what-height-whose-radii-20cm-slant-height-40cm-respectively?show=238584#a238584Tue, 21 Feb 2017 17:00:22 +0000Answered: find the number of subgroups of a group G
https://www.mathhomeworkanswers.org/126206/find-the-number-of-subgroups-of-a-group-g?show=238497#a238497
We can apply Sylow's theorem part 2 to the problem, i.e. number if subgroups is of the form 7k+1=m where m divides 168 and m not equal to 1 by virtue of the nature of group being simple. Thus, the answer is 8Other Math Topicshttps://www.mathhomeworkanswers.org/126206/find-the-number-of-subgroups-of-a-group-g?show=238497#a238497Tue, 21 Feb 2017 07:51:07 +0000number of subgroups of odd order in the free product of a group
https://www.mathhomeworkanswers.org/238496/number-of-subgroups-of-odd-order-in-the-free-product-of-group
What is number of subgroups of odd index in the free product of a group with itself? Is there any algorithm for finding out?Other Math Topicshttps://www.mathhomeworkanswers.org/238496/number-of-subgroups-of-odd-order-in-the-free-product-of-groupTue, 21 Feb 2017 07:46:36 +0000Answered: formula to add digits of a number together
https://www.mathhomeworkanswers.org/127586/formula-to-add-digits-of-a-number-together?show=238344#a238344
<p style="text-align:justify">If n is the number, then the sum of the digits is the remainder after dividing the number by 9 plus a multiple of 9. For example, if n=12345, division by 9 gives a remainder of 6. The digits add up to 15 which is 9+6. Note also that 1+5=6.</p>
<p style="text-align:justify">Another example: 65478/9 has remainder 3 while the sum of the digits is 30=3*9+3.</p>
<p style="text-align:justify">It's easier to use this in reverse: add the digits of a number together. If the result is more than one digit, add the digits of this result. Repeat if necessary until there is only one digit. That final digit is the remainder if the original number had been divided by 9. If the final digit result is 9 itself, then the remainder is zero, in other words, the original number is exactly divisible by 9.</p>
<p style="text-align:justify">The reason for this is that a three digit number, for example, can be represented by 100a+10b+c. This can be written 99a+a+9b+b+c=(a+b+c)+99a+9b=(a+b+c)+9(11a+b). Here we have the sum of the digits plus a multiple of 9. A similar argument applies to a number with as many digits as you like. The number 12=10+2=9+(1+2)=9+3, where the sum of the digits is 1+2.</p>
<p style="text-align:justify">12345 = 10000+2000+300+40+5 = 9999+1+2*999+2+3*99+3+4*9+4+5 = 9(1111+222+33+4)+(1+2+3+4+5) = 9*1370+1+2+3+4+5 = 9*1370+9+6=9*1371+6 (=12339+6).</p>Other Math Topicshttps://www.mathhomeworkanswers.org/127586/formula-to-add-digits-of-a-number-together?show=238344#a238344Sun, 19 Feb 2017 02:31:11 +0000Answered: 4x^2 -11 = 8x solve the equation with quadratic formula using complex roots
https://www.mathhomeworkanswers.org/127599/solve-equation-with-quadratic-formula-using-complex-roots?show=238336#a238336
<p style="text-align:justify">Rewrite: 4x^2-8x-11=0; x=(8±√(64+176))/8;</p>
<p style="text-align:justify">x=(8±√240)/8=(8±√(16*15))/8=(8±4√15)/8=(2±√15)/2=1±√15/2.</p>
<p>So the roots are irrational:</p>
<p>x=1+√15/2 and 1-√15/2, 2.9365 and -0.9365 approx.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/127599/solve-equation-with-quadratic-formula-using-complex-roots?show=238336#a238336Sat, 18 Feb 2017 01:07:24 +0000Answered: what is 100 200 510 in expanded form?
https://www.mathhomeworkanswers.org/132304/what-is-100-200-510-in-expanded-form?show=238321#a238321
<p><span style="color:rgb(9, 107, 9); font-family:georgia,serif; font-size:17px">For example:</span></p>
<p><strong>1.</strong> Find the expanded form of 453169.</p>
<p><strong>Solution:</strong>
<br>
Place values of digits 453169</p>
<p><img src="http://www.math-only-math.com/images/xfind-the-expanded-form.jpg.pagespeed.ic.DT7TYhKTLg.jpg" style="width:350px" alt="image"></p>
<p>
<br>
So, 453169 = 400000 + 50000 + 3000 + 100 + 60 + 9
<br>
<br>
<strong>2.</strong> Write the number in figures and then in words for the following expanded form:
<br>
<br>
<strong>(i)</strong> 80000 + 8000 + 500 + 50 + 7
<br>
<br>
<strong>Solution:</strong>
<br>
<br>
80000 + 8000 + 500 + 50 + 7
<br>
= 88557 (in figures)
<br>
Eighty eight thousand five hundred fifty seven (in words)
<br>
<br>
<strong>(ii)</strong> 100000 + 30000 + 2000 + 10 + 6
<br>
<br>
<strong>Solution:</strong>
<br>
<br>
100000 + 30000 + 2000 + 10 + 6 = 132016 (in figures)
<br>
One hundred thirty two thousand sixteen (in words)
<br>
<br>
We can write the expanded form of numbers in different ways</p>Other Math Topicshttps://www.mathhomeworkanswers.org/132304/what-is-100-200-510-in-expanded-form?show=238321#a238321Fri, 17 Feb 2017 18:42:20 +0000Answered: What is 0.69 (repeating) as a decimal?
https://www.mathhomeworkanswers.org/237981/what-is-0-69-repeating-as-a-decimal?show=238036#a238036
0.696969... is 69/99 as a fraction. This reduces to 23/33.Other Math Topicshttps://www.mathhomeworkanswers.org/237981/what-is-0-69-repeating-as-a-decimal?show=238036#a238036Wed, 15 Feb 2017 11:31:38 +0000Answered: (1+1*2)+(1+2*5)+(1+3*10)+....+(1+10*101), Find the sum of the following series
https://www.mathhomeworkanswers.org/126623/1-1-2-1-2-5-1-3-10-1-10-101-find-the-sum-of-the-following-series?show=237977#a237977
<p><strong>Okay so you add 1+1 and that equals 2 multiply that by 2 and that gives you 4..... add 1+2 and that gives you 3 to 4..... multiply 4 by the answer you got when you multiplied 3 and 4...... then add 1+3 and that gives you 4..... multiply that by 10 and that gives you 40..... then add 1+10 and that gives you 11.... then multiply 11 by 101 and that gives you 1,111. So your answer should be 1,111.</strong></p>Other Math Topicshttps://www.mathhomeworkanswers.org/126623/1-1-2-1-2-5-1-3-10-1-10-101-find-the-sum-of-the-following-series?show=237977#a237977Tue, 14 Feb 2017 19:12:59 +0000Answered: Sequence and series (Am Gm Hm)
https://www.mathhomeworkanswers.org/127764/sequence-and-series-am-gm-hm?show=237976#a237976
What are you trying to ask? I don't know how to solve this.Other Math Topicshttps://www.mathhomeworkanswers.org/127764/sequence-and-series-am-gm-hm?show=237976#a237976Tue, 14 Feb 2017 19:09:55 +0000Answered: How can 4 trees be planted in a square park at equal distance ?
https://www.mathhomeworkanswers.org/114401/how-can-4-trees-be-planted-in-a-square-park-at-equal-distance?show=237951#a237951
I think the answer should be 16. Or just 4 I don't know.Other Math Topicshttps://www.mathhomeworkanswers.org/114401/how-can-4-trees-be-planted-in-a-square-park-at-equal-distance?show=237951#a237951Tue, 14 Feb 2017 16:42:20 +0000Answered: What was the total dollar amount of the ticket sales?
https://www.mathhomeworkanswers.org/135633/what-was-the-total-dollar-amount-of-the-ticket-sales?show=237943#a237943
<p><strong>The total amount of dollars "brought in" was $370,798. You're welcome! :-)</strong></p>
<p> </p>
<p><strong><img alt="wink" src="http://www.mathhomeworkanswers.org/qa-plugin/ckeditor4/plugins/smiley/images/wink_smile.gif" style="height:20px; width:20px" title="wink"></strong></p>Other Math Topicshttps://www.mathhomeworkanswers.org/135633/what-was-the-total-dollar-amount-of-the-ticket-sales?show=237943#a237943Tue, 14 Feb 2017 16:36:46 +0000Answered: What is the most expensive house I could afford
https://www.mathhomeworkanswers.org/237786/what-is-the-most-expensive-house-i-could-afford?show=237941#a237941
I really don't know the answer to this........... I'm sorry. Plus, there are too many questions involved in one.Other Math Topicshttps://www.mathhomeworkanswers.org/237786/what-is-the-most-expensive-house-i-could-afford?show=237941#a237941Tue, 14 Feb 2017 16:34:20 +0000Answered: Store A sells 6 totes for $53.70. Store B sells 8 of the same totes for $71.60. Which store sells the totes for the lower unit price? How much lower?
https://www.mathhomeworkanswers.org/237912/store-sells-totes-which-store-sells-totes-lower-price-lower?show=237918#a237918
<p style="text-align: justify;">Store A sells one tote at 53.70/6=8.95 and store B at 71.60/8=8.95. So the stores both sell totes at the same unit price.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/237912/store-sells-totes-which-store-sells-totes-lower-price-lower?show=237918#a237918Tue, 14 Feb 2017 09:44:49 +0000Answered: Veronica is buying cubed cheese she ask for 1 3/4 pounds.
https://www.mathhomeworkanswers.org/121902/veronica-is-buying-cubed-cheese-she-ask-for-1-3-4-pounds?show=237902#a237902
9/16 pound; In order to find this answer, you need to subtract the weight of the container from the amount on the scale to find the weight of the cheese.<br />
<br />
1 1/4 - 1/16= 1 3/16 pounds.<br />
<br />
Then, you need to subtract the difference asked for.<br />
<br />
1 3/4 - 1 3/16 = 9/16 pound. <br />
<br />
There you go! I hope I helped, this is the right answer, I checked the teacher's guide!Other Math Topicshttps://www.mathhomeworkanswers.org/121902/veronica-is-buying-cubed-cheese-she-ask-for-1-3-4-pounds?show=237902#a237902Mon, 13 Feb 2017 21:30:36 +0000Answered: Mom and Dad have four daughters, and each daughter has one brother. How many people are in the family?
https://www.mathhomeworkanswers.org/237852/have-four-daughters-each-daughter-brother-many-people-family?show=237887#a237887
Four daughters, one son, Mom and Dad make 7 in the family.Other Math Topicshttps://www.mathhomeworkanswers.org/237852/have-four-daughters-each-daughter-brother-many-people-family?show=237887#a237887Mon, 13 Feb 2017 20:29:15 +0000Answered: Finding an equation for a circle
https://www.mathhomeworkanswers.org/115510/finding-an-equation-for-a-circle?show=237868#a237868
<p><em>1234567890 is your answer your welcome</em></p>Other Math Topicshttps://www.mathhomeworkanswers.org/115510/finding-an-equation-for-a-circle?show=237868#a237868Mon, 13 Feb 2017 19:41:24 +0000Answered: given that a=2, b=-1/2, c=4. determine the value of: (a^3-20b^2+-c^3/8) and square root of ab-bc+ac.
https://www.mathhomeworkanswers.org/223472/given-that-determine-the-value-of-20b-and-square-root-of-bc-ac?show=237864#a237864
<p><span style="color:#FFFF00"><span style="font-size:16px"><span style="font-family:georgia,serif"><span style="background-color:#000000">a^3=8, b^2=1/4, -20b^2=-5, -c^3/8=-8;</span>
<br>
<br>
<span style="background-color:#000000">a^3-20b^2-c^3/8=8-5-8=-5.</span>
<br>
<br>
<span style="background-color:#000000">ab-bc+ac=-1+2+8=9.</span></span></span></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/223472/given-that-determine-the-value-of-20b-and-square-root-of-bc-ac?show=237864#a237864Mon, 13 Feb 2017 19:38:22 +0000Answered: How many ways can this be done if mom and dad sit together and the males and females alternate?
https://www.mathhomeworkanswers.org/228537/many-ways-this-done-together-and-the-males-females-alternate?show=237855#a237855
Können Sie es Millionen von Möglichkeiten. Ich glaube nicht, dass es eine bestimmte Zahl gibt.Other Math Topicshttps://www.mathhomeworkanswers.org/228537/many-ways-this-done-together-and-the-males-females-alternate?show=237855#a237855Mon, 13 Feb 2017 19:30:30 +0000Answered: complete the following. 825 use each digit once .make the two smallest 3 digit numbers and two largest 3-digit number
https://www.mathhomeworkanswers.org/237546/complete-following-smallest-digit-numbers-largest-number?show=237567#a237567
8 2 5: two smallest: 258, 285; two largest 825, 852.Other Math Topicshttps://www.mathhomeworkanswers.org/237546/complete-following-smallest-digit-numbers-largest-number?show=237567#a237567Thu, 09 Feb 2017 18:57:42 +0000