Bradley has 64 1-inch cubic blocks. he uses all the blocks to build a rectangular prism that is 2 inches high and 2 inches wide. how long is the rectangular prism?

16 inches

Step-by-step explanation:

The sum of the volume of all the cubic blocks should equal the volume of the rectangular prism.

Volume of 64 1-inch cubic blocks = 1 * 64 = 64

And, we know volume of rectangular prism is length * width * height

So, we can write:

64 = length * 2 * 2

64 = length * 4

length = 64/4=16

Thus, the rectangular prism is 16 inches long

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%