Question

Which expression correctly represents “nine less than the quotient of a number and four, increased by three”?

Answer 1

`(n)/(4) -9+3`

Explanation:

Explanation:

We are given the expression,

'Nine less than the quotient of a number and four, increased by three'.

Let the number be 'x'.

First we have to write the quotient of the number and 4 i.e. .

Now, we have to decrease the quotient by 9 i.e. .

Finally, we have to increase the remaining number by 3 i.e. .

Hence, we get, the expression representing the given statement is.

Answer 2

The given statement is "“nine less than the quotient of a number and four, increased by three”.
Let's assume the number be x.
So, quotient of a number and four can be written as
`(x)/(4)`.
Now 9 less than [/tex]\frac{x}{4} [/tex] will be
`(x)/(4)-9`.
Now if we will increased by 3 then we need to add 3. Hence, the algebraic expression will be:

`(x)/(4) -9+3`