Stacy and neil painted 280 ft^2 of their living room wall with 4/5 gallon of paint. how many square feet can they paint with 3 gallons of paint? enter your answer in the box.

The square feet that can be painted with 3 gallons of paint is  1050 square feet.

The first step to take in order to determine the square feet that can be painted with 3 gallons, the square feet that can be painted with 1 gallon of paint has to be determined.

Number of square feet that can be painted with one gallon = 280 ft² ÷

280 x = 280 feet

The second step is to determine the square feet can be painted with 3 gallons of paint.

280 feet x 3 = 1050 square feet.

A similar question was answered here: link

we know that

Stacy and Neil painted of their living room wall with of paint

so

by proportion

Find how many square feet can they paint with gallons of paint

therefore

the answer is

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.