Question

Write an algebraic expression for this verbal expression: one-half the sum of three times m and 7. divided by the difference between 9 and the

quantity four times m

Answer 1

The algebraic expression for the given verbal expression is ((1/2)(3m + 7)) / (9 - 4m).

Step-by-step explanation:

To write the algebraic expression for the verbal expression 'one-half the sum of three times m and 7, divided by the difference between 9 and four times m', we need to follow the described operations step by step.

First, calculate the sum of three times m and 7, which is expressed as 3m + 7. Next, take one-half of that sum, resulting in (1/2)(3m + 7). Finally, divide this by the difference between 9 and four times m, which is 9 - 4m.

The complete algebraic expression is therefore: ((1/2)(3m + 7)) / (9 - 4m).