Question

What value correctly fills in the blank so that the expressions are equivalent?

32 + 72 = _ (4+9)

A. 12
B. 8
C. 4
D. 13

Answer 1

To find the value that correctly fills in the blank in the equation \( 32 + 72 = \_ (4 + 9) \), we first need to simplify both sides of the equation.

1. Calculate the left-hand side:
\[
32 + 72 = 104
\]

2. Next, simplify the right-hand side, focusing on \( 4 + 9 \):
\[
4 + 9 = 13
\]

3. Now, we can rewrite the equation using the value we've calculated:
\[
104 = \_ \times 13
\]

4. To find the value of the blank (let's denote it as \( x \)), we can solve for \( x \):
\[
x \times 13 = 104
\]
\[
x = \frac{104}{13}
\]

5. Performing the division:
\[
\frac{104}{13} = 8
\]

Thus, the value that correctly fills in the blank is \( \boxed{8} \).