Question

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

[ 18 + 45 = _X(2 + 5) ]
a) 2
b) 3
c) 7
d) 9

Answer 1

The value that correctly fills in the blank to make the equation 18 + 45 = _X(2 + 5) equivalent is 9. We find this by dividing 63 (the sum of 18 + 45) by 7 (the sum of 2 + 5).

Step-by-step explanation:

To determine the value that correctly fills in the blank to make the expressions equivalent,

we can start by evaluating the left side of the equation 18 + 45, which adds up to 63. The equation is given as 18 + 45 = _X(2 + 5).

On the right side of the equation, we have the variable X multiplied by the sum of 2 + 5, which equals 7. Now we need to find the value of X such that when multiplied by 7, we get 63.

This can be done by dividing 63 by 7 which gives us X = 9.

Therefore, the value that completes the equation is 9, making 18 + 45 equal to 9×(2 + 5).