70,420 questions

66,393 answers

873 comments

28,559 users

MathHomeworkAnswers.org is a free math help site for student, teachers and math enthusiasts. Ask and answer math questions in algebra I, algebra II, geometry, trigonometry, calculus, statistics, word problems and more. Register for free and earn points for questions, answers and posts. Math help is always 100% free.

Note: This site is intended to help students and non-students understand and practice math. we do not condone cheating. Users attempting to abuse the system will be permanently blocked from further use.

Most popular tags

algebra problems solving equations word problems calculating percentages geometry problems calculus problems fraction problems math trigonometry problems simplifying expressions rounding numbers solve for x order of operations pre algebra problems math problem evaluate the expression algebra slope intercept form factoring probability please help me to answer this step by step. please answer this queastion as soon as possible. thank you :) polynomials statistics problems how to find y intercept solving inequalities algebra 2 problems logarithmic equations equation of a line solving systems of equations by substitution plz. give this answer as soon as possible sequences and series word problem help dividing fractions greatest common factor graphing linear equations geometric shapes square roots substitution method factoring polynomials long division least common multiple 6th grade math solving systems of equations http: mathhomeworkanswers.org ask# solving equations with fractions function of x ratio and proportion standard form of an equation proving trigonometric identities trig identity least to greatest algebra problem solving equations with variables on both sides dividing decimals slope of a line through 2 points precalculus problems solving systems of equations by elimination help me domain of a function help me!! trinomial factoring college algebra algebraic expressions distributive property solving quadratic equations factors of a number i need help with this perimeter of a rectangle slope of a line ( limit of a function 8th grade math exponents fraction word problems equivalent fractions differentiation division how to find x intercept elimination method differential equation area of a triangle algebra 1 hw help asap geometry 10th grade greater than or less than simplifying fractions inverse function . 7th grade math integral geometry area of a circle simplify place value parallel lines standard deviation solving triangles fractions mixed numbers to improper fractions circumference of a circle solving linear equations width of a rectangle percentages scientific notation problems systems of equations containing three variables number of sides of a polygon lowest common denominator prime factorization solving systems of equations by graphing zeros of a function diameter of a circle length of a rectangle algebra word problems dividing polynomials story problems quadratic functions area of a rectangle mathematical proofs derivative of a function 5th grade math vertex of a parabola calculus homework converting fractions to decimals evaluating functions integers equation algebra 1 finding the nth term range of a function calculators greatest to least combining like terms perpendicular lines least common denominator unit conversion solve for y radius of a circle algebra 2 ordered pairs solving radical equations ) area word problems complex numbers functions slope calculus problem what is the answers? because i don't understand calculate distance between two points multiplying fractions common denominator set builder notation simplifying radicals binomial expansion 4th grade math percents ratios statistics round to the nearest tenth equation of a tangent line midpoint of a line help me please and show how to work it out geometry word problems absolute value #math show work () median significant figures math homework product of two consecutive numbers solve show every step to solve this problem adding fractions radicals divisibility rules graphing functions graphing 1 improper fractions to mixed numbers roots of polynomials ? pre-algebra problems - factor by grouping please answer this question as soon as possible. thank you :) number patterns volume of a cylinder subtracting fractions percentage rational irrational numbers place values how to complete the square simultaneous equations derivatives (explain this to me) decimals please help solving equations with variables numbers expanded forms http: mathhomeworkanswers.org ask# http: mathhomeworkanswers.org ask?cat=# multiplying polynomials maths sets mixed numbers average rate of change integration divide need help solving quadratic equations by completing the square solving trigonometric equations surface area of a prism surface area of a cube implicit differentiation algebra1 pemdas logarithms angles rounding decimals = dividing rounding to the nearest cent reducing frations to lowest terms perimeter of a triangle matrices #help how do you solve this problem in distributive property age problem geometry problem arithmetic sequences simplifying trigonometric equation using identities comparing decimals 9th grade math trigonometry mean lcm answer compound interest direct variation math vocabulary solving equations by factoring chemistry none factor writing in decimal form 5th grade math problems

distributive property

A rectangular field is 850 feet wide. One portion of the field is 6y feet long. The other portion of the field is 15x feet long. Use the distributive property to find an expression for the area of this field

Next assume x = 50 feet and the area of the entire field is 943500 square feet . Find the length and area of each portion of the field.
asked Mar 30, 2011 in Algebra 1 Answers by anonymous
edited Mar 30, 2011




Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:

To avoid this verification in future, please log in or register.

2 Answers

Since length times width equals area we can express the area of the entire field by adding the lengths of the two portions of the field and multiplying by the area as in the expression:

850(6y + 15x) = Area

If we know that the area is 850000 square feet and we know that x = 50 feet we can rewrite the expression as:

850(6y + 15*50) = 943500

simplify to

850(6y + 750) = 943500

Now we have only one variable which we can solve for.

Distrubute the 850 to by multiplying it by both terms inside of the parentheses to get

5100y + 637500 = 943500

subtract 637500 from both sides to get:

5100y = 306000

divide both sides by 5100

y = 60

Now substitute y back into the original equation:

850(60*6 + 750) = 943500

850(360 + 750) = 943500

By multiplying this we can see it checks out.

943500 = 943500

Now we need to find the area and length of each portion of the field

So length of section 1 = 360 feet

Length of section 2 = 750 feet

 

Area of section 1 = 850 x 360 = 306000 square feet

Area of section 2 = 850 x 750 = 637500 square feet
answered Mar 30, 2011 by anonymous

64/4=(40+_) /4

  =(_ /4)+(_ /_)

  =_+ 6

  = _

answered Sep 19, 2012 by anonymous

Related questions

1 answer 18 views
1 answer 62 views
62 views asked Jun 13 in Word Problem Answers by anonymous
0 answers 35 views
1 answer 16 views
16 views asked Feb 26 in Other Math Topics by nellie please answer quickly. thank you
1 answer 22 views
1 answer 54 views
54 views asked Nov 7, 2013 in Word Problem Answers by anonymous
...