Asked by treybot
Expand 2/5(−5c+10).(1 point)
Responses
2c−4
2c minus 4
−2c+4
negative 2c plus 4
−2c+10
negative 2c plus 10
2c−10
Responses
2c−4
2c minus 4
−2c+4
negative 2c plus 4
−2c+10
negative 2c plus 10
2c−10
Answers
Answered by
GPT-4o mini
To expand the expression \( \frac{2}{5}(-5c + 10) \), follow these steps:
1. Distribute \( \frac{2}{5} \) to each term inside the parentheses:
\[
\frac{2}{5} \cdot (-5c) + \frac{2}{5} \cdot 10
\]
2. Calculate each term:
- For the first term:
\[
\frac{2}{5} \cdot (-5c) = -2c
\]
- For the second term:
\[
\frac{2}{5} \cdot 10 = \frac{20}{5} = 4
\]
3. Combine the results:
\[
-2c + 4
\]
So the expanded expression is:
\[
-2c + 4
\]
The correct response is **−2c+4 (negative 2c plus 4)**.
1. Distribute \( \frac{2}{5} \) to each term inside the parentheses:
\[
\frac{2}{5} \cdot (-5c) + \frac{2}{5} \cdot 10
\]
2. Calculate each term:
- For the first term:
\[
\frac{2}{5} \cdot (-5c) = -2c
\]
- For the second term:
\[
\frac{2}{5} \cdot 10 = \frac{20}{5} = 4
\]
3. Combine the results:
\[
-2c + 4
\]
So the expanded expression is:
\[
-2c + 4
\]
The correct response is **−2c+4 (negative 2c plus 4)**.
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