Question

According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m) ?(1 point) Responses 51m+(−53+18)−2m 51 m plus left parenthesis negative 53 plus 18 right parenthesis minus 2 m (49m−53)+16 left parenthesis 49 m minus 53 right parenthesis plus 16 (30m+21m)+(18−2m) left parenthesis 30 m plus 21 m right parenthesis plus left parenthesis 18 minus 2 m right parenthesis 53m−35

Answer 1

which one is it

Answer 2

To apply the Associative Property and simplify the expression \(30m + (21m - 53) + (18 - 2m)\), we can regroup the terms without changing the sum.

Let's break down the expression:
1. \(30m + (21m - 53) + (18 - 2m)\)

Using the Associative Property, we can group the first two terms together:
\[
(30m + 21m) + (18 - 2m) - 53
\]

Now, let's simplify it:
- Combine \(30m\) and \(21m\) to get \(51m\).
- Next, combine the constants \(-53\) and \(18\).

So we can represent the expression as:
\[
(51m) + (-53 + 18) - 2m
\]

Now, let's compute \(-53 + 18\):
\(-53 + 18 = -35\)

Thus, our expression now looks like:
\[
51m - 35 - 2m
\]

This matches the second option provided in your question \(51m + (-53 + 18) - 2m\).

Therefore, the expression that is equivalent to \(30m + (21m - 53) + (18 - 2m)\) according to the Associative Property is:
**51m + (-53 + 18) - 2m**.

Answer 3

The equivalent expression for \(30m + (21m - 53) + (18 - 2m)\) according to the Associative Property is:

**51m + (-53 + 18) - 2m.**

This corresponds to the first option in your list of responses.