Question

"What value correctly fills in the blank so that the expressions are equivalent? 32 + 72 - _*(4 + 9)"

What value correctly fills in the blank to make the expressions equivalent?

a) 08
b) 12
c) 13
d) 16

Answer 1

The correct answer is 8 because when multiplied by the sum of 4 and 9 (13), it results in 104, which when subtracted from 32 + 72, makes the two expressions equivalent.

Step-by-step explanation:

The question is asking what value should be filled in the blank to make the two expressions equivalent. Given the expressions 32 + 72 and _*(4 + 9), we need to find the value of the blank that when multiplied by the sum of 4 and 9 (which is 13), will give us a result that when subtracted from 32 + 72 (which equals to 104), the two expressions will be equivalent.

So, we calculate the required value as follows: 32 + 72 = 104, 4 + 9 = 13, _ * 13 = 104 (since we want the two expressions to be equivalent), _ = 104 / 13, _ = 8. Therefore, the correct answer is a) 08.