I hope we need to write the algebraic expression for the given statement.
Quotient of a number x and 6 can be represent in algebraic form as [tex] \frac{x}{6} [/tex].
Now to write sum of 10 and \frac{x}{6} we need to add them.
Therefore , the sum of ten and the quotient of a number x and 6 can be written as [tex] 10 + \frac{x}{6} [/tex].
Hope this helps you!