Abox is in the shape of a rectangular prism. nicole is trying to ship boxes of her homemade peanut butter cookies. the box she is using to ship has the dimensions of 10in by 10in by 12in. each cookie box has dimensions of 2in by 5in by 3in. how many cookie boxes will fit into the box to be shipped? explain how you got your answer.

40 cookie boxes will fit into the box to be shipped.

Step-by-step explanation:

We know the dimensions of the box that Nicole is using to ship.

We also know the dimensions of the cookie boxes.

To solve this problem, we need to calculate the volume of the box that Nicole uses to ship and then divide that volume by the volume of the cookie box.

The box that Nicole uses to ship has the shape of a rectangular prism.

For a rectangular prism of dimensions A by B by C the volume is

The volume of this box is

For the cookie boxes, the dimensions are 2 in by 5 in by 3 in

Therefore, it volume will be :

To find how many cookie boxes fit into the box to be shipped we need to divide the volume of the box by the volume of the cookie box :

We find out that 40 cookie boxes fit into the box to be shipped.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: