What is 9(7 1/2)+3(7 1 /2) ?(1 point)Responses67–√6 square root of 7127–√12 square root of 737–√3 square root of 7277–√

1 answer

To solve the expression \( 9(7 \frac{1}{2}) + 3(7 \frac{1}{2}) \), we can start by converting the mixed number \( 7 \frac{1}{2} \) into an improper fraction.

\[ 7 \frac{1}{2} = 7 + \frac{1}{2} = \frac{14}{2} + \frac{1}{2} = \frac{15}{2} \]

Now substitute \( \frac{15}{2} \) back into the expression:

\[ 9(7 \frac{1}{2}) + 3(7 \frac{1}{2}) = 9\left(\frac{15}{2}\right) + 3\left(\frac{15}{2}\right) \]

Factor out \( \frac{15}{2} \):

\[ = \left(9 + 3\right)\left(\frac{15}{2}\right) = 12\left(\frac{15}{2}\right) \]

Now multiply:

\[ = \frac{12 \times 15}{2} = \frac{180}{2} = 90 \]

Therefore, the answer is:

\[ 90 \]

It seems there may have been a misunderstanding with the original choices provided, as none listed are equal to 90. Please verify the options again, or if there's something specific you need, let me know!