Answer: [tex]\frac{x}{5}+9[/tex]
Step-by-step 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:
[tex]\frac{x}{5}[/tex]
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 ( [tex]\frac{x}{5}[/tex]).
Knowing this, you can conclude that the translation of "Nine more than the quotient of a number and five" into a math expression is:
[tex]\frac{x}{5}+9[/tex]