Question

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

18 + 45 = blank x (2 + 5)
2
3
7
9

Answer 1

To find the value that correctly fills in the blank, we need to equate the left-hand side with the right-hand side of the expression given in the question.

First, we calculate the left-hand side:

\[
18 + 45 = 63
\]

Next, we simplify the expression on the right-hand side:

\[
2 + 5 = 7
\]

Now, we have:

\[
63 = \text{blank} \times 7
\]

To find the value of "blank," we can rearrange the equation:

\[
\text{blank} = \frac{63}{7}
\]

Now, calculating the right-hand side:

\[
\frac{63}{7} = 9
\]

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

\[
\boxed{9}
\]