72,096 questions

69,581 answers

922 comments

46,671 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 trigonometry problems rounding numbers simplifying expressions solve for x math problem order of operations pre algebra problems evaluate the expression algebra slope intercept form factoring probability please answer this queastion as soon as possible. thank you :) please help me to answer this step by step. polynomials statistics problems plz. give this answer as soon as possible solving inequalities how to find y intercept algebra 2 problems logarithmic equations equation of a line solving systems of equations by substitution help sequences and series word problem dividing fractions greatest common factor graphing linear equations square roots geometric shapes substitution method long division 6th grade math least common multiple factoring polynomials solving systems of equations http: mathhomeworkanswers.org ask# solving equations with fractions standard form of an equation function of x ratio and proportion least to greatest dividing decimals proving trigonometric identities algebra problem trig identity solving equations with variables on both sides help me!! ( precalculus problems solving systems of equations by elimination help me slope of a line through 2 points domain of a function college algebra algebraic expressions trinomial factoring distributive property i need help with this factors of a number solving quadratic equations perimeter of a rectangle slope of a line division fraction word problems exponents limit of a function 8th grade math differentiation equivalent fractions greater than or less than differential equation how to find x intercept elimination method algebra 1 hw help asap geometry 10th grade simplifying fractions area of a triangle inverse function . 7th grade math geometry area of a circle integral simplify place value parallel lines standard deviation solving triangles fractions solving linear equations width of a rectangle circumference of a circle percentages systems of equations containing three variables mixed numbers to improper fractions scientific notation problems number of sides of a polygon algebra word problems zeros of a function lowest common denominator prime factorization solving systems of equations by graphing diameter of a circle length of a rectangle area of a rectangle story problems mathematical proofs quadratic functions dividing polynomials derivative of a function 5th grade math vertex of a parabola calculus homework converting fractions to decimals evaluating functions algebra 1 integers equation finding the nth term range of a function ordered pairs combining like terms calculators greatest to least perpendicular lines least common denominator unit conversion algebra 2 complex numbers solve for y radius of a circle ) solving radical equations slope area word problems functions what is the answers? calculus problem because i don't understand 4th grade math calculate distance between two points multiplying fractions common denominator statistics ratios set builder notation simplifying radicals binomial expansion percents help me please and show how to work it out math homework round to the nearest tenth geometry word problems midpoint of a line absolute value significant figures product of two consecutive numbers equation of a tangent line radicals #math show work () median solve show every step to solve this problem adding fractions please answer this question as soon as possible. thank you :) divisibility rules graphing functions graphing math pre-algebra problems roots of polynomials factor by grouping 1 - improper fractions to mixed numbers percentage place values number patterns ? (explain this to me) volume of a cylinder subtracting fractions decimals rational irrational numbers how to complete the square simultaneous equations numbers derivatives expanded forms solving equations with variables maths http: mathhomeworkanswers.org ask?cat=# please help = multiplying polynomials sets http: mathhomeworkanswers.org ask# need help solving quadratic equations by completing the square implicit differentiation integration divide mixed numbers surface area of a prism average rate of change algebra1 pemdas angles age problem rounding decimals comparing decimals solving trigonometric equations surface area of a cube logarithms trigonometry #help perimeter of a triangle 9th grade math matrices dividing geometry problem rounding to the nearest cent reducing frations to lowest terms arithmetic sequences factor how do you solve this problem in distributive property compound interest simplifying trigonometric equation using identities direct variation chemistry none mean lcm answer solve algebra equation probability of an event 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.

3 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

12+4

 

answered Nov 13 by 20s.swillen (140 points)

Related questions

1 answer 22 views
22 views asked Jul 27 in Word Problem Answers by SB
1 answer 70 views
70 views asked Jun 13 in Word Problem Answers by anonymous
1 answer 77 views
77 views asked Apr 16 in Other Math Topics by anonymous
1 answer 21 views
21 views asked Feb 26 in Other Math Topics by nellie please answer quickly. thank you
1 answer 26 views
26 views asked Dec 8, 2013 in Other Math Topics by Ahsan
1 answer 58 views
58 views asked Nov 7, 2013 in Word Problem Answers by anonymous
...