Question

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

42+70=_(6+10)

Answer 1

To find the value that fills in the blank so that the expression \( 42 + 70 = x(6 + 10) \) is equivalent, we first calculate \( 42 + 70 \):

\[
42 + 70 = 112
\]

Next, we calculate \( 6 + 10 \):

\[
6 + 10 = 16
\]

Now, we want to solve the equation:

\[
112 = x \cdot 16
\]

To isolate \( x \), we divide both sides by 16:

\[
x = \frac{112}{16}
\]

Calculating the division:

\[
x = 7
\]

Thus, the value that correctly fills in the blank is \( \boxed{7} \).