Question

(1 point)
What value correctly fills in the blank so that the expressions are equivalent?

32+72=___(4+9)

Answer 1

To find the value that correctly fills in the blank in the expression \( 32 + 72 = \_\_(4 + 9) \), we first calculate the left side:

\[
32 + 72 = 104.
\]

Next, we examine the right side of the equation, \( \_\_(4 + 9) \). First, we can simplify \( 4 + 9 \):

\[
4 + 9 = 13.
\]

Now the equation becomes:

\[
104 = \_\_ \cdot 13.
\]

To find the value of the blank, we divide both sides of the equation by 13:

\[
\_\_ = \frac{104}{13}.
\]

Now, we perform the division:

\[
\frac{104}{13} = 8.
\]

Thus, the value that fills in the blank is

\[
\boxed{8}.
\]