Question

35 Points!

Three-tenths of the total volume, v, of water in a bucket spills.

Which statement explains why 310x and 0.3x can each find the volume of the water that spilled?


The fraction 310 is equivalent to the decimal 0.03. Therefore, 310x can be rewritten as 0.03x.

The expressions are not equivalent.

Multiplying by 3 is the same as multiplying by 30%.

Multiplying by 310 is the same as multiplying by 30%.

Answer 1

The expressions are not equivalent.

Explanation:

Three-tenths of the total volume, v =
`(3)/(10) (v)`

= 0.3 × v --- (1)

But, 310x is 310 × v --- (2)

Since (1) and (2) represent the same volume,

0.3 × v = 310 × v

Divide both sides by v,

0.3 = 310 which is a contradiction.

Therefore, the expressions are not equivalent.