Question

(1 point)
What value correctly fills in the blank so that the expressions are equivalent?

42+70=

(6+10)

Answer 1

To find the value that correctly fills in the blank so that the expressions are equivalent, we first need to calculate the left-hand side:

\( 42 + 70 = 112 \).

Now we need to find a value \( x \) such that:

\( (6 + 10) \cdot x = 112 \).

Starting with \( 6 + 10 \):

\( 6 + 10 = 16 \).

Now, let's set up the equation:

\( 16x = 112 \).

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

\( x = \frac{112}{16} \).

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

\( x = 7 \).

Thus, the value that correctly fills in the blank is **7**.