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

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

1 answer

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:

\[ \boxed{9} \]