Question

What value correctly fills in the blank so that the expressions are equivalent? 32+ 72 = _x (4+9)

Answer 1

To find the value that makes the expressions 32 + 72 and _x (4+9) equivalent, you simply add 32 and 72 to get 104, then divide 104 by 13 resulting in x equaling 8.

Step-by-step explanation:

The question asks us to determine the value that fills in the blank so as to make two expressions equivalent: 32 + 72 and _x (4+9). To do this, we first perform the addition within the parentheses. The expression inside the parentheses, 4+9, adds up to 13. Therefore, the question simplifies to finding a value for x such that 32 + 72 equals x times 13.

Step-by-Step Solution:

1. First, add the two given numbers: 32 + 72.
2. The sum of 32 and 72 is 104.
3. Next, express the equation as 104 = x × 13.
4. Finally, divide both sides by 13 to find the value of x, which gives us x = 8.