One brand of cookies is sold in three different box sizes: small, medium, and large. The small box has half the volume of the medium box. The large box has twice the volume of the medium box. The volume of the medium box is x.

If someone buys one of each size, which expression shows the combined volume of the three boxes?

A
1.75x

B
2.5x

C
3.5x

D
7x

Answer:

a

Step-by-step explanation:

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division, etc.

The expression that shows the combined volume of the three boxes is 3.5x.

Option C is the correct answer.

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division, etc.

We have,

Three box sizes:

Small, Medium, and Large.

The volume of the medium box is x.

The volume of the medium box = x ____(1)

The small box has half the volume of the medium box.

The volume of the small box = x/2 _______(2)

The large box has twice the volume of the medium box.

The volume of the large box = 2x _____(3)

Combining (1), (2), and (3) we get,

= x + x/2 + 2x

= (2x + x + 4x) / 2

= (7/2)x

= 3.5x

Thus the expression that shows the combined volume of the three boxes is 3.5x.

Learn more about expressions here:

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