69,453 questions

63,735 answers

859 comments

18,396 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 solve for x rounding numbers order of operations pre algebra problems evaluate the expression slope intercept form algebra math problem factoring probability please help me to answer this step by step. polynomials statistics problems how to find y intercept please answer this queastion as soon as possible. thank you :) solving inequalities algebra 2 problems equation of a line logarithmic equations solving systems of equations by substitution dividing fractions sequences and series help word problem plz. give this answer as soon as possible 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 standard form of an equation ratio and proportion proving trigonometric identities trig identity algebra problem least to greatest solving equations with variables on both sides dividing decimals slope of a line through 2 points solving systems of equations by elimination precalculus problems domain of a function help me college algebra trinomial factoring algebraic expressions help me!! solving quadratic equations distributive property factors of a number perimeter of a rectangle i need help with this slope of a line fraction word problems limit of a function equivalent fractions 8th grade math exponents differentiation how to find x intercept division differential equation area of a triangle elimination method algebra 1 hw help asap geometry 10th grade inverse function greater than or less than . simplifying fractions integral area of a circle 7th grade math geometry simplify parallel lines standard deviation solving triangles circumference of a circle solving linear equations fractions place value mixed numbers to improper fractions width of a rectangle percentages number of sides of a polygon scientific notation problems systems of equations containing three variables diameter of a circle lowest common denominator prime factorization solving systems of equations by graphing zeros of a function length of a rectangle algebra word problems ( story problems quadratic functions dividing polynomials derivative of a function area of a rectangle mathematical proofs 5th grade math vertex of a parabola calculus converting fractions to decimals integers evaluating functions homework equation algebra 1 range of a function calculators combining like terms greatest to least least common denominator perpendicular lines finding the nth term solve for y radius of a circle unit conversion solving radical equations algebra 2 ordered pairs area word problems ) complex numbers slope calculus problem functions calculate distance between two points because i don't understand common denominator multiplying fractions what is the answers? set builder notation binomial expansion percents equation of a tangent line midpoint of a line ratios statistics help me please and show how to work it out round to the nearest tenth geometry word problems simplifying radicals 4th grade math median #math show work () product of two consecutive numbers solve significant figures adding fractions absolute value show every step to solve this problem divisibility rules graphing functions radicals math homework graphing 1 ? pre-algebra problems roots of polynomials factor by grouping - improper fractions to mixed numbers volume of a cylinder percentage please answer this question as soon as possible. thank you :) how to complete the square subtracting fractions simultaneous equations derivatives number patterns please help http: mathhomeworkanswers.org ask# http: mathhomeworkanswers.org ask?cat=# solving equations with variables multiplying polynomials decimals numbers (explain this to me) mixed numbers maths sets integration need help place values solving quadratic equations by completing the square solving trigonometric equations surface area of a prism surface area of a cube average rate of change implicit differentiation pemdas logarithms divide rational irrational numbers rounding decimals = algebra1 reducing frations to lowest terms perimeter of a triangle matrices dividing age problem geometry problem rounding to the nearest cent arithmetic sequences comparing decimals trigonometry mean lcm answer #help how do you solve this problem in distributive property compound interest simplifying trigonometric equation using identities direct variation 9th grade math angles factor writing in decimal form height of a triangle solving equations by factoring none measurement problems expanded forms

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 17 views
1 answer 53 views
53 views asked Jun 13 in Word Problem Answers by anonymous
0 answers 30 views
1 answer 15 views
15 views asked Feb 26 in Other Math Topics by nellie please answer quickly. thank you
1 answer 22 views
1 answer 53 views
53 views asked Nov 7, 2013 in Word Problem Answers by anonymous
...