Question

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

32+72=

(4+9)

8
4
13
12

Answer 1

To determine the value that correctly fills in the blank so that the expressions are equivalent, we can start by evaluating the left side of the equation:

\[ 32 + 72 = 104. \]

Now, we need to evaluate the right side, which consists of the expression \( (4 + 9) \) multiplied by an unknown value. The first step is to calculate:

\[ 4 + 9 = 13. \]

So now we have:

\[ 104 = 13x \]

where \( x \) is the value we need to find.

To find \( x \), we can divide both sides of the equation by 13:

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

Calculating that gives:

\[ x = 8. \]

Thus, the correct value that fills in the blank is:

**8**.