What is the algebraic expression for the word phrase "the quotient of 27 and m less than 9"?
A. M-9 / 27
B. 9-m / 27
C. 27 / 9-m
D. 27 / m-9
The answer is D. 27 / m-9
To translate the word phrase "the quotient of 27 and m less than 9" into an algebraic expression, let's break it down step-by-step.
1. The quotient of 27 and m: This means we need to divide 27 by m.
2. Less than 9: This indicates that the previous division result should be subtracted from 9.
Combining these steps, we can create the algebraic expression:
27 / m - 9
Therefore, the correct answer is D. 27 / m-9.