A gallon of paint can cover 360 square feet. The radius of a standandard NBA basketball is 4.75 inches. How many basketballs will the paint cover? ( note 144 square inches in 1 square foot )

Explanation:

We're told that 1 square foot is 144 square inches (this is from 12*12 = 144, since 12 inches = 1 ft).

So because of this, 360 square feet converts to 360*144 = 51,840 square inches.

One gallon of paint can cover 51,840 square inches.

Now let's find the surface area of the sphere, aka ball.

It has a radius of r = 4.75 inches, so,

SA = 4*pi*r^2

SA = 4*pi*(4.75)^2

SA = 90.25pi

SA = 283.528736986479 which is approximate

The surface area of one ball is roughly 283.528736986479 square inches.

Divide the amount of area the paint can cover over the surface area of one basketball:

(51,840)/(283.528736986479) = 182.838609415709

This rounds down to 182. We round down because we won't have enough paint to cover the 183rd basketball.

One gallon of paint can cover 182 basketballs.

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".