Stephanie built a box to hold sports equipment. The box is in the shape of a rectangular prism. The
volume is 20 1/4 ft3, and the area of the base is 6 3/4 ft2. What is the height of the box?

  3 ft

Step-by-step explanation:

The volume of the box is given by the formula ...

  V = Bh

where B is the base area and h is the height. Solving for h, we get ...

  h = V/B

Filling in the numbers gives us the height:

  h = (20 1/4 ft^3)/(6 3/4 ft^2) = (81/4)·(4/27) ft = 3 ft

The height of the box is 3 feet.

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".