Math Homework Answers - Recent questions and answers in Word Problem Answers
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Powered by Question2AnswerAnswered: The Rectangle Problem
http://www.mathhomeworkanswers.org/238339/the-rectangle-problem?show=238439#a238439
<p>There is some difficulty interpreting this question.</p>
<p style="text-align:justify">The best interpretation I can offer is that, if the perimeter of two triangles is 144cm, what is the maximum difference in area between the two triangles, if the dimensions of the triangles are whole numbers?</p>
<p style="text-align:justify">The maximum area of a triangle is when the triangle is equilateral so its area is a/2 * a√3/2=a^2√3/4, where a is the side length, which is 144/3=48cm. The area is 576√3=997.66 sq cm approx.</p>
<p style="text-align:justify">The cosine formula can be used to relate the lengths of the sides:</p>
<p style="text-align:justify">a^2=b^2+c^2-2bccosA. If all the sides are integers, angle A must have a rational cosine. The only angles to do so are 0, 60, 90, 180 degrees. 0 and 180 would not make a triangle, so we are left with 60 and 90.</p>
<p style="text-align:justify">If A=60 we have a^2=b^2+c^2-bc and a+b+c=144cm. So (144-(b+c))^2=b^2+c^2-bc, from which we get:</p>
<p style="text-align:justify">144^2-288(b+c)+b^2+c^2+2bc=b^2+c^2-bc; and c=(6912-96b)/(96-b)=96(72-b)/(96-b).</p>
<p style="text-align:justify">When 96-b is a factor of 96 we will get an integer result for c: so b=64, 48 are obvious solutions, giving us c=24, 48. That gives us a=56, 48. When b=60, c=96*12/36=32 and a=52.</p>
<p style="text-align:justify">If A=90, 144^2-288(b+c)+2bc=0, c=144(72-b)/(144-b), and we get (a,b,c)=(65,63,16) and (60,48,36).</p>
<p style="text-align:justify">So now we have all the possible triangles: (56,64,24), (48,48,48), (52,60,32), (65,63,16) and (60,48,36). We identified the equilateral triangle area, so we are left with 4. The one with the shortest side is right triangle (65,63,16) and this one has the smallest area: 8*63 (half base of 16 times height of 63)=504 sq cm. the difference between the greatest and smallest area is 576√3-504=72(8√3-7)=493.66 sq cm.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/238339/the-rectangle-problem?show=238439#a238439Mon, 20 Feb 2017 13:59:24 +0000Answered: The ages a man and his two sons, Eric and John is in the ratio 12:4:3 If the difference between the ages of Eric and john is 5, find the ages of each of them
http://www.mathhomeworkanswers.org/238433/ages-eric-john-ratio-difference-between-ages-ages-each-them?show=238434#a238434
<p style="text-align:justify">Let the ages be F (father), E (Eric) and J (John).
<br>
<br>
E-J=5. Also, F/E=12/4=3 and F/J=12/3=4.
<br>
<br>
So E=F/3 and J=F/4, E-J=5 so F/3-F/4=5 or F(1/3-1/4)=5, F/12=5 and F=60.
<br>
<br>
Therefore E=20 and J=15.
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<br>
The ages are: father=60, Eric=20 and John=15.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/238433/ages-eric-john-ratio-difference-between-ages-ages-each-them?show=238434#a238434Sun, 19 Feb 2017 23:24:19 +0000Answered: what is 75% of 160
http://www.mathhomeworkanswers.org/17577/what-is-75%25-of-160?show=238431#a238431
<p><span style="background-color:transparent !important; color:rgb(0, 0, 0); font-family:arial">A wool<span style="font-family:arial,helvetica,sans-serif"></span> suit, discounted by </span></p>
<p><span style="background-color:transparent !important; color:rgb(0, 0, 0); font-family:arial">75%</span></p>
<p><span style="background-color:transparent !important; color:rgb(0, 0, 0); font-family:arial">for a clearance<span style="font-family:arial,helvetica,sans-serif"></span> sale, has a price tag of </span></p>
<p><span style="background-color:transparent !important; color:rgb(0, 0, 0); font-family:arial">$ 160</span></p>
<p><span style="background-color:transparent !important; color:rgb(0, 0, 0); font-family:arial">What was the<span style="font-family:arial,helvetica,sans-serif"></span> suit's original<span style="font-family:arial,helvetica,sans-serif"></span> price?</span></p>
<p> </p>Word Problem Answershttp://www.mathhomeworkanswers.org/17577/what-is-75%25-of-160?show=238431#a238431Sun, 19 Feb 2017 18:47:44 +0000Answered: of tgere is 4 mondays and 4 fridays what day is january 1
http://www.mathhomeworkanswers.org/127589/of-tgere-is-4-mondays-and-4-fridays-what-day-is-january-1?show=238343#a238343
<p style="text-align: justify;">In a month of 31 days there will be 4 dates where the same day of the week falls on that date if d+28>31, so d>3 where d is the earliest date in the month. So, for example, if d=4, then the dates are 4, 11, 18, 25. Also, d<8, because if d=8, then there would be an earlier date, d=1. Therefore, 3<d<8. We can also write 3-3<d-3<8-3, that is, 0<d-3<5. If d represents a Monday, then d-3 represents Friday, so 0<F<5 and 3<M<8 for the Friday and Monday dates. This gives us F=1, 2, 3, 4 and M=4, 5, 6, 7. But for 4 Fridays F must be greater than 3, which leaves F=4 and so M=7 and the first day of the month must be Tuesday. This gives us F=4, 11, 18, 25 and M=7, 14, 21, 28.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/127589/of-tgere-is-4-mondays-and-4-fridays-what-day-is-january-1?show=238343#a238343Sun, 19 Feb 2017 01:44:17 +0000Answered: What is 100,050,000,982 written in expanded form
http://www.mathhomeworkanswers.org/98640/what-is-100-050-000-982-written-in-expanded-form?show=238320#a238320
100000000000+50000000+900+80+2 is the answer. Hope this helps.Word Problem Answershttp://www.mathhomeworkanswers.org/98640/what-is-100-050-000-982-written-in-expanded-form?show=238320#a238320Fri, 17 Feb 2017 18:41:11 +0000Answered: what is the fold with 100,000 to 9,000,000
http://www.mathhomeworkanswers.org/128349/what-is-the-fold-with-100-000-to-9-000-000?show=238319#a238319
You multiply them: 9000000 x 100000=90.Word Problem Answershttp://www.mathhomeworkanswers.org/128349/what-is-the-fold-with-100-000-to-9-000-000?show=238319#a238319Fri, 17 Feb 2017 18:40:06 +0000Answered: 504,000 - 436,100 x 6300 over 112,000
http://www.mathhomeworkanswers.org/238229/504-000-436-100-x-6300-over-112-000?show=238318#a238318
<p><span style="text-decoration: underline;">$504,000 - $436,100 x $6,300 </span> </p>
<p> $112,000</p>
<p> </p>
<p>That is the answer.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/238229/504-000-436-100-x-6300-over-112-000?show=238318#a238318Fri, 17 Feb 2017 18:39:13 +0000Answered: Is the system of three qubits can be in a pure state <ψ|ABC such that each pair of qubits is bell state |φ+>?
http://www.mathhomeworkanswers.org/237198/system-three-qubits-state-such-that-each-pair-qubits-bell-state?show=238314#a238314
maybe.................... but i dont understand your questionWord Problem Answershttp://www.mathhomeworkanswers.org/237198/system-three-qubits-state-such-that-each-pair-qubits-bell-state?show=238314#a238314Fri, 17 Feb 2017 18:33:54 +0000Answered: Geometric Sequences math homework
http://www.mathhomeworkanswers.org/238233/geometric-sequences-math-homework?show=238247#a238247
<p>The actual total distance fallen is 16, 16+48, 16+48+80, that is 16, 64, 144.</p>
<p style="text-align: justify;">(a) If we write the series as multiples of 16 we have 1, 4, 9. These are the squares of the natural numbers so the total distance fallen is 16n^2 where n is the number of seconds. The difference between the nth second and the (n-1)th second is 16(n^2-(n^2-2n+1))=16(2n-1). Therefore the total distance fallen in 6 seconds is 16*36=576 ft, but the distance fallen between n=5 and 6 is 16(12-1)=176 ft.</p>
<p style="text-align: justify;">(b) The total distance fallen in n seconds is 16n^2.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/238233/geometric-sequences-math-homework?show=238247#a238247Thu, 16 Feb 2017 17:16:18 +0000Answered: find 3.45 to the nearest hundredth
http://www.mathhomeworkanswers.org/51765/find-3-45-to-the-nearest-hundredth?show=238238#a238238
BlaaaWord Problem Answershttp://www.mathhomeworkanswers.org/51765/find-3-45-to-the-nearest-hundredth?show=238238#a238238Thu, 16 Feb 2017 16:35:05 +0000Answered: what is 73,000mL turned into how many liters
http://www.mathhomeworkanswers.org/61427/what-is-73-000ml-turned-into-how-many-liters?show=237984#a237984
<p><span style="color:#4B0082"><span style="background-color:#FF0000">sorry i dont know this one. i wish i could help you but i don't know it.</span></span></p>Word Problem Answershttp://www.mathhomeworkanswers.org/61427/what-is-73-000ml-turned-into-how-many-liters?show=237984#a237984Tue, 14 Feb 2017 19:22:20 +0000Answered: what is 73,000mL turned into how many liters
http://www.mathhomeworkanswers.org/61428/what-is-73-000ml-turned-into-how-many-liters?show=237983#a237983
sorry i don't get it either oh god help me plz i need helpppppppppppppppppppppppppppppp help meeeeeeeee nowwwwwwwwwwwwwwWord Problem Answershttp://www.mathhomeworkanswers.org/61428/what-is-73-000ml-turned-into-how-many-liters?show=237983#a237983Tue, 14 Feb 2017 19:21:38 +0000Answered: The people at the Clark family reunion ate 32 3/4 pizzas. Each pizza had 8 slices . How many slices of pizza 8 slices. How many slices of pizza were eaten?
http://www.mathhomeworkanswers.org/213243/people-family-reunion-pizzas-slices-slices-slices-slices-pizza?show=237958#a237958
They ate more than half of it?! Jeez! Probably about 90% I reckon.Word Problem Answershttp://www.mathhomeworkanswers.org/213243/people-family-reunion-pizzas-slices-slices-slices-slices-pizza?show=237958#a237958Tue, 14 Feb 2017 16:46:06 +0000Answered: if each person eats 3/8 of pizza and you have 10 pizzas how many people can eat
http://www.mathhomeworkanswers.org/15431/each-person-eats-pizza-and-have-pizzas-how-many-people-can-eat?show=237957#a237957
I spy with my little eye, something greenWord Problem Answershttp://www.mathhomeworkanswers.org/15431/each-person-eats-pizza-and-have-pizzas-how-many-people-can-eat?show=237957#a237957Tue, 14 Feb 2017 16:45:26 +0000Answered: The admission fee at an amusement park is $1.75
http://www.mathhomeworkanswers.org/61522/the-admission-fee-at-an-amusement-park-is-%241-75?show=237950#a237950
number of children equals 16<br />
number of adults equals 7Word Problem Answershttp://www.mathhomeworkanswers.org/61522/the-admission-fee-at-an-amusement-park-is-%241-75?show=237950#a237950Tue, 14 Feb 2017 16:41:49 +0000Answered: how much pure cordial must be added to 30 litres of 4% cordial mixture to make a 10% cordial mixture
http://www.mathhomeworkanswers.org/126722/cordial-must-added-litres-cordial-mixture-cordial-mixture?show=237946#a237946
40+10+30=80 so 80%Word Problem Answershttp://www.mathhomeworkanswers.org/126722/cordial-must-added-litres-cordial-mixture-cordial-mixture?show=237946#a237946Tue, 14 Feb 2017 16:38:52 +0000Answered: To what value must R be adjusted to make Iz = 40 mA? Assume Vz = 12V at 20 mA and Zz = 30 ohms
http://www.mathhomeworkanswers.org/237796/what-value-must-adjusted-make-assume-12v-at-20-ma-and-zz-30-ohms?show=237945#a237945
It should be 30 I think.Word Problem Answershttp://www.mathhomeworkanswers.org/237796/what-value-must-adjusted-make-assume-12v-at-20-ma-and-zz-30-ohms?show=237945#a237945Tue, 14 Feb 2017 16:38:09 +0000Answered: $150,000.00 in year 2013 is equivilant to what dollar amount in the year 1855?
http://www.mathhomeworkanswers.org/65658/%24150-000-year-2013-equivilant-what-dollar-amount-the-year-1855?show=237942#a237942
<p><span style="color:#FF0000"><span style="background-color:#000000">1855: 28</span></span></p>
<p><span style="color:#FF0000"><span style="background-color:#000000">2014: 709.9</span></span></p>
<p><span style="color:#FF0000"><span style="background-color:#000000">150000 * (28/709.9)</span></span></p>
<p><span style="color:#FF0000"><span style="background-color:#000000">$150000 in 2014 was about $5916 in 1855.</span></span></p>Word Problem Answershttp://www.mathhomeworkanswers.org/65658/%24150-000-year-2013-equivilant-what-dollar-amount-the-year-1855?show=237942#a237942Tue, 14 Feb 2017 16:35:38 +0000Answered: A,B,and C are subsets of the universal set (E) such that E={0,1,2,...,12};A={x=0,1,...7},B={4,6,8,10,12},C={1<y<8}
http://www.mathhomeworkanswers.org/224441/and-are-subsets-of-the-universal-set-such-that-12-b-4-6-8-10-12-1-8?show=237863#a237863
<p><span style="color:#FF0000"><span style="background-color:#000000">y=8</span></span></p>
<p> </p>
<p><span style="color:#FF0000"><span style="background-color:#000000">the other ones i have no idea to answer them. im sorry :(</span></span></p>Word Problem Answershttp://www.mathhomeworkanswers.org/224441/and-are-subsets-of-the-universal-set-such-that-12-b-4-6-8-10-12-1-8?show=237863#a237863Mon, 13 Feb 2017 19:37:21 +0000Answered: manager has 10 applicants to fill 3 positions, how many ways can this be done?
http://www.mathhomeworkanswers.org/29436/manager-applicants-fill-positions-how-many-ways-can-this-done?show=237857#a237857
<p><span style="color:rgb(33, 33, 33); font-family:roboto,arial,sans-serif; font-size:14px; white-space:pre-wrap">Eine solide 10 ist Ihre Antwort</span></p>
<p><span style="color:rgb(33, 33, 33); font-family:roboto,arial,sans-serif; font-size:29px; white-space:pre-wrap">Eine solide 10 ist Ihre Antwort</span></p>
<p> </p>
Word Problem Answershttp://www.mathhomeworkanswers.org/29436/manager-applicants-fill-positions-how-many-ways-can-this-done?show=237857#a237857Mon, 13 Feb 2017 19:32:37 +0000Answered: Allen has 405 marbles. Justin gave him 112 more. Allen gave 25 to his brother. How many marbles does allen have? what is the hidden question?
http://www.mathhomeworkanswers.org/225900/allen-marbles-justin-brother-marbles-allen-hidden-question?show=237854#a237854
<p><span style="font-size:14px"><span style="color:rgb(33, 33, 33); font-family:roboto,arial,sans-serif; white-space:pre-wrap">492 sollte Ihre Antwort sein.</span></span></p>
<p><span style="color:rgb(33, 33, 33); font-family:roboto,arial,sans-serif; font-size:29px; white-space:pre-wrap">492 sollte Ihre Antwort sein.</span></p>
<p> </p>
Word Problem Answershttp://www.mathhomeworkanswers.org/225900/allen-marbles-justin-brother-marbles-allen-hidden-question?show=237854#a237854Mon, 13 Feb 2017 19:29:20 +0000Answered: 8x5=(5x5)+(___x5)
http://www.mathhomeworkanswers.org/237611/8x5-5x5-___x5?show=237743#a237743
<p> </p>
<p><span style="text-decoration: underline;">8x5=(5x5)+(___x5)</span></p>
<p>40 = 25 + 15</p>
<p>15 = 3 x 5</p>
<p>Therefore, 8x5=(5x5)+(3x5)</p>
<p> </p>Word Problem Answershttp://www.mathhomeworkanswers.org/237611/8x5-5x5-___x5?show=237743#a237743Sat, 11 Feb 2017 04:22:55 +0000Answered: write 1.232 in words
http://www.mathhomeworkanswers.org/237672/write-1-232-in-words?show=237734#a237734
One and two tenths, three hundredths and two thousandths.Word Problem Answershttp://www.mathhomeworkanswers.org/237672/write-1-232-in-words?show=237734#a237734Fri, 10 Feb 2017 20:16:59 +0000Answered: A telephone number ends with a digit less than 7
http://www.mathhomeworkanswers.org/237618/a-telephone-number-ends-with-a-digit-less-than-7?show=237642#a237642
<p style="text-align:justify">You haven't asked a specific question, so I don't know how long the telephone number is.</p>
<p style="text-align:justify">The way to find out how many numbers there are where the last digit is less than 7 is to do this multiplication:</p>
<p style="text-align:justify">7*10*10*...*10 for as many digits as there are or 7 followed by a number of zeroes. This number of zeroes will be 1 less than the length of the phone number, so if it's a 7-digit number we have 7000000 or 7 million numbers.</p>
<p style="text-align:justify">If not all the digits can be used in any other position then we multiply the number of available digits by 7 and then add the zeroes. For example, if the first digit can't be zero, then we only have 9 left to choose from so there will be 7*9=63 followed by zeroes, two fewer zeroes than the number length. For a 7-digit number there would be 6300000 possible numbers.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/237618/a-telephone-number-ends-with-a-digit-less-than-7?show=237642#a237642Fri, 10 Feb 2017 13:29:57 +0000Answered: Why does the sum of minus 4&3 complain more then the sum of minus 3&5?
http://www.mathhomeworkanswers.org/237368/why-does-the-sum-minus-4%263-complain-more-then-the-sum-minus-3%265?show=237517#a237517
<p style="text-align: justify;">-4+3=-1 and -3+5=2, so the first sum remains negative and the second sum has become positive. The reason to complain is that the first sum is still negative, while the second sum is happily positive.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/237368/why-does-the-sum-minus-4%263-complain-more-then-the-sum-minus-3%265?show=237517#a237517Thu, 09 Feb 2017 13:19:01 +0000Answered: Peter has 30 pencils and Tony has 14. How many pencils must Tony give Peter so that Peter shall have 3 times as many as Tony?
http://www.mathhomeworkanswers.org/237460/peter-pencils-pencils-give-peter-peter-shall-have-times-tony?show=237476#a237476
<p>Let p be the number of pencils.</p>
<p>3(14-p)=30+p</p>
<p>42-3p=30+p</p>
<p>4p=12, p=3.</p>
<p style="text-align: justify;">So Peter ends up with 33 and Tony with 11. 3*11=33, so that confirms that Tony gave Peter 3 pencils.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/237460/peter-pencils-pencils-give-peter-peter-shall-have-times-tony?show=237476#a237476Wed, 08 Feb 2017 21:44:55 +0000Answered: Where do i put the parentheses to make this state ment true 8 x 4 - 2 x 3 + 8 ÷2 = 25
http://www.mathhomeworkanswers.org/237300/where-do-put-the-parentheses-to-make-this-state-ment-true-3-25?show=237366#a237366
8*4-(2*3+8)÷2=25Word Problem Answershttp://www.mathhomeworkanswers.org/237300/where-do-put-the-parentheses-to-make-this-state-ment-true-3-25?show=237366#a237366Tue, 07 Feb 2017 21:13:21 +0000Answered: If you have 5 people, how many times can 3 names be chosen?
http://www.mathhomeworkanswers.org/71618/if-you-have-5-people-how-many-times-can-3-names-be-chosen?show=237212#a237212
<p><span style="background-color:transparent !important; color:rgb(0, 0, 0); font-family:arial">The members of the Student Activity Council on your campus are meeting to select </span><span style="background-color:transparent !important"> </span><span style="background-color:rgba(0, 0, 0, 0) !important; color:rgb(0, 0, 0); font-family:arial">two </span><span style="background-color:transparent !important; color:rgb(0, 0, 0); font-family:arial">speakers for a<span style="font-family:arial,helvetica,sans-serif"> </span> month-long event celebrating artists and entertainers.The first names of the choices are </span><span style="background-color:rgba(0, 0, 0, 0) !important; color:rgb(0, 0, 0); font-family:arial">Ben comma Will comma Stewart comma Hilary comma Kate comma and Jay. </span><span style="background-color:transparent !important; color:rgb(0, 0, 0); font-family:arial">How many different ways can the </span><span style="background-color:rgba(0, 0, 0, 0) !important; color:rgb(0, 0, 0); font-family:arial">two </span><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial">speakers </span>be<span style="color:rgb(0, 0, 0); font-family:arial,helvetica,sans-serif"> </span>selected<span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial">?</span></p>Word Problem Answershttp://www.mathhomeworkanswers.org/71618/if-you-have-5-people-how-many-times-can-3-names-be-chosen?show=237212#a237212Sun, 05 Feb 2017 22:33:47 +0000Answered: a 10% liquid polymer is used making a polymer solution. how many pounds of liquid polymer should be mixed with water to produce 170 pounds of a 0.6% polymer solution?
http://www.mathhomeworkanswers.org/237183/polymer-polymer-solution-polymer-produce-polymer-solution?show=237190#a237190
<p>The reduction in strength is 0.6/10=3/50.</p>
<p style="text-align: justify;">170lb is the the lower strength as weight or mass. It seems that 3/50 of this is the liquid polymer, so the amount is 3*170/50=10.2lb.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/237183/polymer-polymer-solution-polymer-produce-polymer-solution?show=237190#a237190Sun, 05 Feb 2017 13:52:51 +0000Answered: Numbers Less than 500
http://www.mathhomeworkanswers.org/237132/numbers-less-than-500?show=237178#a237178
<p>The range is 1 to 2*500-1=999.</p>
<p style="text-align:justify">Those divisible by 3 form a series, 3, 9, 15, 21, ... these being 3*1, 3*3, 3*5, 3*7, ...3*333. The general term is 3(2n-1) and the last term is 3*333 so 2n-1=333, 2n=334, n=167.</p>
<p style="text-align:justify">Those divisible by 5 form the series: 5, 15, 25, ...995, or 5*1, 5*3, 5*5, ...5*199. The general term is 5(2n-1) and 2n-1=199 for the last term, so n=100.</p>
<p style="text-align:justify">The number of multiples of 3=167 and 5=100. But some are divisible by both 3 and 5 (i.e., 15).</p>
<p style="text-align:justify">The series for 15 is 15, 45, 75, ...975, or 15(2n-1) and 2n-1=65, n=33.</p>
<p style="text-align:justify">If we now add the totals for 3 and 5, we get 267 but we need to subtract 33 from this so as to avoid double accounting for numbers divisible by both 3 and 5. 267-33=234. There are 234 odd numbers divisible by 3 or 5 between 1 and 999, which is the range of the first 500 odd numbers. This includes numbers divisible by both. The number divisible by 3 or 5 but not both is 234-33=201.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/237132/numbers-less-than-500?show=237178#a237178Sat, 04 Feb 2017 15:59:21 +0000Answered: The area of a bedroom wall is 3.12. How much paint is needed for two coatings of the wall. A litre paint will cover 15m square on average
http://www.mathhomeworkanswers.org/237174/bedroom-paint-needed-coatings-litre-paint-cover-square-average?show=237177#a237177
Assume 3.12 sq m. One litre=1000ml.<br />
<br />
One coat takes 3.12/15 litre=0.208 l=208ml. Two coats take 416ml.<br />
<br />
This assumes that 15m square means 15 sq m or 15 m^2.Word Problem Answershttp://www.mathhomeworkanswers.org/237174/bedroom-paint-needed-coatings-litre-paint-cover-square-average?show=237177#a237177Sat, 04 Feb 2017 13:27:30 +0000Answered: I am a number less than 3000. When you divide me by 32, my remainder is 30
http://www.mathhomeworkanswers.org/52499/am-number-less-than-3000-when-you-divide-32-my-remainder-is-30?show=236993#a236993
<p>Take the number they're dividing by and multiply it out x1, x2, x3, etc. while adding the remainder. Example (32x1)+30, (32x2)+30 do the same for the other number (58x1)+44 keep multiplying these out until you find a match. </p>
<p>Here is an extrapolated example. There can be multiple answers however 798 is the first one that comes up.</p>
<p><img alt="" src="https://i.gyazo.com/39be6e894d0387468919298a30eef217.png" style="height:672px; width:944px"></p>Word Problem Answershttp://www.mathhomeworkanswers.org/52499/am-number-less-than-3000-when-you-divide-32-my-remainder-is-30?show=236993#a236993Thu, 02 Feb 2017 01:07:31 +0000Answered: if 6 is a factor what other two numbers must be factors
http://www.mathhomeworkanswers.org/108620/if-6-is-a-factor-what-other-two-numbers-must-be-factors?show=236955#a236955
<p><span style="color:#40E0D0">I thike the answer is 1 beacause 6 times 1 = 6</span></p>Word Problem Answershttp://www.mathhomeworkanswers.org/108620/if-6-is-a-factor-what-other-two-numbers-must-be-factors?show=236955#a236955Wed, 01 Feb 2017 21:40:37 +0000Answered: If 16 rabbits eat one-half cup of food per day, how many days will five gallons of rabbit food last?
http://www.mathhomeworkanswers.org/236892/rabbits-half-food-many-days-will-five-gallons-rabbit-food-last?show=236923#a236923
<p style="text-align: justify;">Taking 1 cup=1/16 gallon, half a cup is 1/32 gallon. 16 rabbits require 16/32=1/2 gallon per day.
<br>
<br>
5 gallons would be sufficient for 10 days.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/236892/rabbits-half-food-many-days-will-five-gallons-rabbit-food-last?show=236923#a236923Wed, 01 Feb 2017 20:05:16 +0000Answered: how many times does 6.3 million go into 9 billion?
http://www.mathhomeworkanswers.org/236620/how-many-times-does-6-3-million-go-into-9-billion?show=236663#a236663
<p style="text-align: justify;">Take out the billions and make the problem simpler, because it's all a matter of proportion.</p>
<p style="text-align: justify;">A 3-inch long goldfish needs 3*3=9 gallons of water. A billion goldfish need 9 billion (US) gallons.</p>
<p style="text-align: justify;">An aquarium holds 6.3 gallons of water, which is not enough for one goldfish. In fact, it's only enough for 6.3/9=0.7 goldfish.</p>
<p style="text-align: justify;">So the Georgia Aquarium can hold 0.7 billion goldfish=700,000,000 (700 million).</p>Word Problem Answershttp://www.mathhomeworkanswers.org/236620/how-many-times-does-6-3-million-go-into-9-billion?show=236663#a236663Mon, 30 Jan 2017 11:57:28 +0000Answered: A sheep pen
http://www.mathhomeworkanswers.org/236657/a-sheep-pen?show=236662#a236662
<p style="text-align:justify">This answer has now been revised. I hope it's correct according to the given figures. Sorry for the error. I must have confused two very similar questions.</p>
<p style="text-align:justify"><img alt="" src="http://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=18372924301125338322" style="height:315px; width:400px"></p>
<p style="text-align:justify">The perimeter of the pen is 2L+2W where L and W are length and width.</p>
<p style="text-align:justify">(a) The fence has a length 2L+W because the shed's length is 30m and forms a width. Since W=30, 2L+30=200, 2L=170, L=85m. The area is 30*85=2550 sq m. [corrected]</p>
<p style="text-align:justify">(b) The maximum area for the pen is a square, so L=W and the area is L^2. The perimeter is 4L. We know that the shed helps to form a side. So the perimeter is 200+30=230m=4L, so L=57.5m and the area is 3306.25 sq m. [corrected] It's easy to prove that a square is the maximum area for a given perimeter. If L=a-x and W=a+x, the fixed perimeter, P, is 4a, so a=P/4. The area is a^2-x^2. This quantity has a maximum value of a^2 only when x=0, which means L=W=a, a square.</p>
<p style="text-align:justify">(c) (i) Now, if the length of each pen is L and the total amount of fencing is 200m, then we can write an equation for the total amount of fencing: 3L+3W=200, where W=30, since the shed covers the width of one pen, so L=110/3=36 2/3m. (ii) If the two pens are square for maximum area each, and the side is L, the total enclosed perimeter is 7L. The perimeter is made up of 200m of fence and 30m of shed=230m. L=230/7=32 6/7m=32.857m approx. [corrected]</p>
<p style="text-align:justify">(d) For three pens of maximum area the perimeter is 10L=200+30=230, and L=23m. The area of each pen is 529 sq m. [corrected] Total pen area is 1587 sq m.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/236657/a-sheep-pen?show=236662#a236662Mon, 30 Jan 2017 11:41:20 +0000Answered: Sum of the present ages of a mother and a daughter is 60 years . After 10 years.the product f their ages will be 1500
http://www.mathhomeworkanswers.org/236561/present-mother-daughter-years-after-years-product-their-1500?show=236567#a236567
<p style="text-align: justify;">Let M and D be the current ages of mother and daughter.</p>
<p style="text-align: justify;">M+D=60 and (M+10)(D+10)=1500.</p>
<p style="text-align: justify;">MD+10(M+D)+100=1500, MD+600+100=1500, so MD=800.</p>
<p style="text-align: justify;">Also, M(60-M)=800, 60M-M^2=800, M^2-60M+800=0=(M-40)(M-20) therefore M=40 (older than daughter) and D=20.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/236561/present-mother-daughter-years-after-years-product-their-1500?show=236567#a236567Sat, 28 Jan 2017 15:03:14 +0000Answered: Each play last 3/10 hours. The entire presentation is 2 hours. How many plays are performed?
http://www.mathhomeworkanswers.org/236412/play-hours-entire-presentation-hours-many-plays-performed?show=236447#a236447
<p>Divide 2 hours into tenths of an hour and we get 20 tenths.</p>
<p style="text-align: justify;">Each play is 3 tenths and 20/3=6 plays. The intermission is 20-6*3=20-18=2 tenths, or 1/5 of an hour, 12 minutes. A tenth of an hour is 6 minutes so each play lasts 18 minutes: 6 plays plus intermission gives us 6*18+12=108+12=120 minutes = 2 hours.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/236412/play-hours-entire-presentation-hours-many-plays-performed?show=236447#a236447Thu, 26 Jan 2017 13:11:53 +0000Answered: $60 at the end of every three months. 6% compounded quarterly for 35 years
http://www.mathhomeworkanswers.org/47199/%2460-the-end-every-three-months-compounded-quarterly-for-years?show=236327#a236327
<p>35 years=35*4=140 quarters.</p>
<p>If 6% is annual rate, quarterly rate=6/4=1.5%.</p>
<p>If $60 is deposited at the end of a quarter, it is not subject to interest for another quarter.</p>
<p style="text-align:justify">The first deposit of $60 has the benefit of 139 quarters' interest. The second deposit has 138 quarters' interest, etc. We can write a geometric series: 60*1.015^139+60*1.015^138+...+60*1.015+60.</p>
<p style="text-align:justify">This can be written 60(1+1.015+1.015^2+...+1.015^138+1.015^139).</p>
<p style="text-align:justify">The series sums to 60(1.015^140-1)/(1.015-1)=60*469.32=$28,159.25 approx. This is the amount after 35 years.</p>
<p> </p>Word Problem Answershttp://www.mathhomeworkanswers.org/47199/%2460-the-end-every-three-months-compounded-quarterly-for-years?show=236327#a236327Tue, 24 Jan 2017 12:35:50 +0000Answered: Bernie fries saves 500 at the end of every quarter in an ordinary annuity earning 7.2% interest compounded quarterly what is the amount of his Savings in 20 years and interest will he have earned
http://www.mathhomeworkanswers.org/236315/ordinary-annuity-interest-compounded-quarterly-interest?show=236325#a236325
<p style="text-align:justify">In 20 years there are 80 quarters. I'm assuming that 7.2% is the <em>quarterly</em> interest rate not the rate per annum. See later for alternative solutions.</p>
<p style="text-align:justify">1st quarter: 500+7.2%=500+500*0.072=500*1.072=536, assuming that each saving of 500 is subject to full interest in the same quarter (see later).</p>
<p style="text-align:justify">2nd quarter: 536+500+7.2% of (536+500)=1036*1.072=1110.59 approx.</p>
<p>3rd quarter: (1036*1.072+500)(1.072)=1726.55 approx, and so on.</p>
<p style="text-align:justify">There's a pattern:</p>
<p style="text-align:justify">(500*1.072+500*1.072^2+500*1.072^3+...+500*1.072^80).</p>
<p style="text-align:justify">That is, 500*1.072(1+1.072+1.072^2+...+1.072^79)=536(1.072^80-1)/(1.072-1)=536*3602.29=1,930,829 approx.</p>
<p style="text-align:justify">Depending on whether the first and each subsequent quarter is credited with full quarterly interest in the same quarter, the answer could be either 1,930,829 or 1,801,147 approximately, the lower amount being when interest is credited in the quarter following the savings deposit.</p>
<p style="text-align:justify">To find the interest we need to know how much was saved without interest=500*80=40,000.</p>
<p style="text-align:justify">Therefore the interest is 1,890,829 or 1,761,147.</p>
<p style="text-align:justify">If 7.2% is the <em>annual</em> rate, the quarterly rate is 1.8%. The adjusted figures require us to use the factor 1.018 instead of 1.072.</p>
<p style="text-align:justify">The total savings=89,555.38 or 87,971.89 and the corresponding interest is 49,555.38 or 47,971.89. (The first quarter's savings would be 509 instead of 536. The 2nd quarter's savings=1,027.16 approx, and so on.)</p>Word Problem Answershttp://www.mathhomeworkanswers.org/236315/ordinary-annuity-interest-compounded-quarterly-interest?show=236325#a236325Tue, 24 Jan 2017 10:31:24 +0000Answered: If 5 workers take 10 days to build a single house, how many days would it take 25 workers to build 8 identical houses?
http://www.mathhomeworkanswers.org/236311/workers-build-single-house-workers-build-identical-houses?show=236324#a236324
<p>Split the question.</p>
<p style="text-align: justify;">How many days for 25 workers to build a single house? The answer is 5 times less than 5 workers, so that's 10/5=2 days. Therefore, to build 8 houses it takes 8*2=16 days.</p>Word Problem Answershttp://www.mathhomeworkanswers.org/236311/workers-build-single-house-workers-build-identical-houses?show=236324#a236324Tue, 24 Jan 2017 10:10:38 +0000Answered: the length of a rectangle is 3cm less than twice its width. if the width is x cm give a expressio in the length of rectangle in cm
http://www.mathhomeworkanswers.org/236289/length-rectangle-twice-width-width-expressio-length-rectangle?show=236295#a236295
Length = 2x-3. Twice the width, when x=width, is 2x. 3cm less than this is 2x-3.Word Problem Answershttp://www.mathhomeworkanswers.org/236289/length-rectangle-twice-width-width-expressio-length-rectangle?show=236295#a236295Mon, 23 Jan 2017 19:32:00 +0000Answered: If an alien with 5 antennae has an IQ of 75, find the IQ of a alien with 8 antennae and with 10 antennae.
http://www.mathhomeworkanswers.org/236196/alien-with-antennae-find-alien-with-antennae-with-antennae?show=236205#a236205
IQ=kA^2 where A is the number of antennae. So 75=25k and k=3.<br />
<br />
If A=8 then IQ=64k=192<br />
<br />
If A=10 then IQ=100k=300Word Problem Answershttp://www.mathhomeworkanswers.org/236196/alien-with-antennae-find-alien-with-antennae-with-antennae?show=236205#a236205Sun, 22 Jan 2017 00:27:19 +0000Answered: Use the table and the graph to answer questions.
http://www.mathhomeworkanswers.org/236172/use-the-table-and-the-graph-to-answer-questions?show=236187#a236187
I think you could use a cordanation graph to help you too:<br />
<a href="http://www.youtube.com/watch?v=9Uc62CuQjc4" rel="nofollow">http://www.youtube.com/watch?v=9Uc62CuQjc4</a>Word Problem Answershttp://www.mathhomeworkanswers.org/236172/use-the-table-and-the-graph-to-answer-questions?show=236187#a236187Sat, 21 Jan 2017 18:12:21 +0000Answered: How to divide circle into 6 equal parts
http://www.mathhomeworkanswers.org/127841/how-to-divide-circle-into-6-equal-parts?show=236184#a236184
<p>Using compasses and a straight edge:</p>
<ol>
<li style="text-align: justify;">Draw a circle and keep compasses set to the same radius throughout. This is circle 1 (black).</li>
<li style="text-align: justify;">Using any point on the circumference as the centre, draw an arc to cut the circumference of circle 1 in two places. Call this arc 1 (shown as red circle).</li>
<li style="text-align: justify;">Draw two more arcs using the points of intersection of arc 1 with circle 1. These two arcs are arc 2 and 3 and they will produce 4 intersections on the circumference of circle 1 (shown as two blue circles).</li>
<li style="text-align: justify;">Take just one intersection between arc 2 or 3 and circle 1 and draw another arc to each ntersect circle 1 (green circle).</li>
<li style="text-align: justify;">You will have 6 intersections of circle 1 which can be joined through the centre of circle 1 to form three lines and the required 6 spokes.</li>
</ol>
<p style="text-align: justify;"><img alt="" src="http://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=17730238656800605189" style="height:340px; width:350px"></p>Word Problem Answershttp://www.mathhomeworkanswers.org/127841/how-to-divide-circle-into-6-equal-parts?show=236184#a236184Sat, 21 Jan 2017 14:15:36 +0000Answered: make a place value drawing of a number that has double the number of tens as ones and three times the number of thousands as hundreds write the number.
http://www.mathhomeworkanswers.org/215745/drawing-number-double-number-number-thousands-hundreds-number?show=236134#a236134
6262Word Problem Answershttp://www.mathhomeworkanswers.org/215745/drawing-number-double-number-number-thousands-hundreds-number?show=236134#a236134Fri, 20 Jan 2017 02:50:00 +0000Answered: show the steps of solving an equation of y + 6 >-13
http://www.mathhomeworkanswers.org/236069/show-the-steps-of-solving-an-equation-of-y-6-13?show=236073#a236073
I am confused. You mean to say, how would this be possible? If so, then y would have to be -18 or higher. This is so because if y is -18 and you add it to 6, it is -12. -12 is greater than -13, therefore hopefully answering your question.Word Problem Answershttp://www.mathhomeworkanswers.org/236069/show-the-steps-of-solving-an-equation-of-y-6-13?show=236073#a236073Wed, 18 Jan 2017 22:07:47 +0000If mark has 84 cows who each eat 2/7 of a hay bale how many hay bales would he need
http://www.mathhomeworkanswers.org/235912/mark-has-cows-who-each-eat-hay-bale-how-many-hay-bales-would-need
This is a math question I need answered for tomorrow please helpWord Problem Answershttp://www.mathhomeworkanswers.org/235912/mark-has-cows-who-each-eat-hay-bale-how-many-hay-bales-would-needTue, 17 Jan 2017 04:45:29 +0000How does a customer have to pay for an article costing $240 with a 5% GST imposed on it
http://www.mathhomeworkanswers.org/235908/does-customer-have-for-article-costing-%24240-with-gst-imposed
It is a maths question. Please solve it. It is very important for meWord Problem Answershttp://www.mathhomeworkanswers.org/235908/does-customer-have-for-article-costing-%24240-with-gst-imposedMon, 16 Jan 2017 13:31:30 +0000The rectangle has length that is 5 feet less than twice its width and it has an area of 85.9 square feet. What are the dimensions to the nearest tenth of a foot?
http://www.mathhomeworkanswers.org/235905/rectangle-length-twice-width-square-dimensions-nearest-tenth
<p><span style="font-family:times new roman,serif; font-size:12pt"> The rectangle has length that is 5 feet less than twice its width and it has an area of 85.9 square feet. What are the dimensions to the nearest tenth of a foot? </span></p>Word Problem Answershttp://www.mathhomeworkanswers.org/235905/rectangle-length-twice-width-square-dimensions-nearest-tenthMon, 16 Jan 2017 07:32:36 +0000