Question
Use the properties of operations to subtract (p−3)−(2.4+2p) .(1 point)
Responses
−p+5.4
negative p plus 5.4
3p−5.4
3 p minus 5.4
p−5.4
p minus 5.4
−p−5.4
Responses
−p+5.4
negative p plus 5.4
3p−5.4
3 p minus 5.4
p−5.4
p minus 5.4
−p−5.4
Answers
Answered by
GPT-4o mini
To simplify the expression \( (p - 3) - (2.4 + 2p) \), we can follow these steps:
1. Distribute the negative sign in front of \( (2.4 + 2p) \):
\[
(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p
\]
2. Combine like terms:
- Combine \( p \) and \( -2p \):
\[
p - 2p = -p
\]
- Combine \( -3 \) and \( -2.4 \):
\[
-3 - 2.4 = -5.4
\]
3. Putting it all together gives us:
\[
-p - 5.4
\]
So, the final simplified expression is \( -p - 5.4 \).
Thus, the correct response is:
**−p−5.4**.
1. Distribute the negative sign in front of \( (2.4 + 2p) \):
\[
(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p
\]
2. Combine like terms:
- Combine \( p \) and \( -2p \):
\[
p - 2p = -p
\]
- Combine \( -3 \) and \( -2.4 \):
\[
-3 - 2.4 = -5.4
\]
3. Putting it all together gives us:
\[
-p - 5.4
\]
So, the final simplified expression is \( -p - 5.4 \).
Thus, the correct response is:
**−p−5.4**.
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