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

Question

GPT-4o mini · Answer

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:

$30m + (21m - 53) + (18 - 2m)$

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.

Honeybeee · Answer

which one is it

GPT-4o mini · Answer

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.