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

Question

42+70=

(6+10)

Answer 1

To find the value that correctly fills in the blank so that the expressions are equivalent, we will first calculate the left side of the equation.

Let's start with the expression on the left:

\[ 42 + 70 \]

Calculating this, we get:

\[ 42 + 70 = 112 \]

Now we move on to the expression on the right side, which is:

\[ (6 + 10) \]

Calculating this, we have:

\[ 6 + 10 = 16 \]

Now, we see that we need to set the right side equal to the value we found on the left side:

\( (6 + 10) \) is equivalent to 16, and we want to find a value that can fill the blank to make it equivalent to 112.

If we represent the blank as \( x \), we look for an expression that will produce 112 when filled:

\[ (6 + 10) + x = 112 \]

Since \( 6 + 10 = 16 \), we can substitute that into the equation:

\[ 16 + x = 112 \]

To find \( x \), we subtract 16 from both sides:

\[ x = 112 - 16 \] \[ x = 96 \]

Therefore, the value that correctly fills in the blank is

\[ \boxed{96} \]

Answer 2

wrong

Answer 3

I apologize for any confusion in my previous response. Let's clarify the problem and work through it step-by-step again.

You have the equation:

\[ 42 + 70 = (6 + 10) + __ \]

First, let's calculate the left side:

\[ 42 + 70 = 112 \]

Next, we calculate the expression on the right side:

\[ 6 + 10 = 16 \]

Now we want to make the whole right side equal to 112. So, we can express the right side as:

\[ 16 + __ = 112 \]

Let \( x \) be the value we need to fill in the blank. Thus, we can write:

\[ 16 + x = 112 \]

To isolate \( x \), subtract 16 from both sides:

\[ x = 112 - 16 \] \[ x = 96 \]

Thus, the correct value to fill in the blank is:

\[ \boxed{96} \]

However, if this is not what you expected, please provide more context or details, and I'd be more than happy to assist you further!