(1 point) What value correctly fills in the blank so that the expressions are equivalent? 42+70= %C2%A0 %C2%A0(6+10)

Answer 1

To find the value that correctly fills in the blank so that the expressions are equivalent, we need to first simplify both sides of the equation.

Starting with the left side:

\[ 42 + 70 = 112 \]

Now we analyze the right side of the equation:

\[ 6 + 10 = 16 \]

Now, we want to find \( x \) such that:

\[ 112 = x(16) \]

To solve for \( x \), we can rearrange the equation:

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

Calculating \( \frac{112}{16} \):

\[ x = 7 \]

Thus, the value that correctly fills in the blank is:

7