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

32+72=________ (4+9)

1 answer

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: \[ \boxed{8} \]