Question

Which expression has a value of 16 when n=5

Answer 1

what are the expressions?

Answer 2

C.
`7+(45)/(n)`

Explanation:

We are asked to choose the expression, which has a value of 16, when n=5.

Let us check our options one by one by substituting n=5 in the given expressions.

A.
`(25)/(n)+7`

Upon substituting n=5 in our expression we will get,

`(25)/(5)+7`

`5+7`

`12`

As we got 12 from solving our expression, therefore, option A is not a correct choice.

B.
`30-3n`

Upon substituting n=5 in our expression we will get,

`30-3* 5`

`30-15`

`15`

As we got 15 from solving our expression, therefore, option B is not a correct choice either.

C.
`7+(45)/(n)`

Upon substituting n=5 in our expression we will get,

`7+(45)/(5)`

`7+9`

`16`

As we got 16 from solving our expression, therefore, option C is the correct choice.

D.
`n^3-114`

Upon substituting n=5 in our expression we will get,

`5^3-114`

`125-114`

`11`

As we got 11 from solving our expression, therefore, option D is not a correct choice.