QuestionFind the algebraic expression for "the quotient of 27 and $m$ less than 9". Options: $\frac{m-9}{27}$ , $\frac{27}{m-9}$ , $\frac{9-m}{27}$ , $\frac{27}{9-m}$ .

Studdy Solution

STEP 1

Assumptions1. "The quotient of27 and $m$ less than9" is a phrase that needs to be translated into an algebraic expression. . The phrase "the quotient of" implies division.
3. The phrase " $m$ less than9" implies subtracting9 from $m$ .
4. The order of the words in the phrase matters in determining the correct algebraic expression.

STEP 2

The phrase "the quotient of27 and $m$ less than9" can be broken down into two parts "the quotient of27 and" and " $m$ less than9".

STEP 3

The phrase " $m$ less than9" implies subtracting9 from $m$ . This can be written as $m-9$ .

STEP 4

The phrase "the quotient of27 and" implies dividing27 by the next part of the phrase. This can be written as $\frac{27}{\text{next part}}$ .

STEP 5

Combine the two parts to form the algebraic expression. $\frac{27}{m-9}$ So, the algebraic expression for the word phrase "the quotient of27 and $m$ less than9" is $\frac{27}{m-9}$ .

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