Answer:
![(x)/(5)+9](https://img.qammunity.org/2020/formulas/mathematics/middle-school/m285lrtqdg5zz84avpmke48rp37lj06cov.png)
Explanation:
Let be "x" the number mentioned in the given phrase.
"...the quotient of a number and five" indicates a division. In other words, the number "x" is divided by 5. This can represented as:
![(x)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ifbhksnq43da3hu2xac34cv6l8at4h4kss.png)
Now, "Nine more than the quotient of a number and five" indicates that you need to add 9 to the quotient of a number and five (
).
Knowing this, you can conclude that the translation of "Nine more than the quotient of a number and five" into a math expression is:
![(x)/(5)+9](https://img.qammunity.org/2020/formulas/mathematics/middle-school/m285lrtqdg5zz84avpmke48rp37lj06cov.png)