Question

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 so that the expressions are equivalent, we need to evaluate the left side of the equation:

First, calculate \( 32 + 72 \):
\[
32 + 72 = 104
\]

Next, calculate \( 4 + 9 \):
\[
4 + 9 = 13
\]

Now, we set the equation with the blank:
\[
104 = x \cdot 13
\]

To find \( x \), we divide both sides by \( 13 \):
\[
x = \frac{104}{13}
\]

Now, we perform the division:
\[
104 \div 13 = 8
\]

Thus, the value that fills in the blank is:
\[
\boxed{8}
\]