Respuesta :

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 [tex] \frac{x}{4} [/tex].
Now 9 less than [/tex]\frac{x}{4} [/tex] will be [tex] \frac{x}{4}-9 [/tex].
Now if we will increased by 3 then we need to add 3. Hence, the algebraic expression will be:
[tex] \frac{x}{4} -9+3 [/tex]

Answer:

[tex]\frac{n}{4} -9+3[/tex]

Step-by-step explanation:

Step-by-step 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.