Expand 2/5(−5c+10).(1 point)

Question

Responses

2c−10
2c minus 10
2c−4
2c minus 4
−2c+4
negative 2c plus 4
−2c+10

Answer 1

To expand the expression \( \frac{2}{5}(-5c + 10) \), we distribute \( \frac{2}{5} \) to both terms inside the parentheses.

First, we handle the first term:

\[ \frac{2}{5} \cdot (-5c) = -2c \]

Next, we process the second term:

\[ \frac{2}{5} \cdot 10 = \frac{20}{5} = 4 \]

Now, combining both results gives us:

\[ -2c + 4 \]

So, the expanded expression is \( -2c + 4 \).

Among the given responses, the correct answer is:

−2c + 4 (negative 2c plus 4).

Answer 2

Expand −7/6(3g+2).(1 point)
Responses

7/2g−7/3

−7/2g+2

−7/2g−7/3

7/2g+2

Answer 3

To expand the expression \( -\frac{7}{6}(3g + 2) \), we will distribute \( -\frac{7}{6} \) to both terms inside the parentheses.

1. Distributing to the first term: \[ -\frac{7}{6} \cdot 3g = -\frac{21}{6}g = -\frac{7}{2}g \quad (\text{simplifying} \frac{21}{6} = \frac{7}{2}) \]

2. Distributing to the second term: \[ -\frac{7}{6} \cdot 2 = -\frac{14}{6} = -\frac{7}{3} \quad (\text{simplifying} \frac{14}{6} = \frac{7}{3}) \]

Now, combining both results gives us:

\[ -\frac{7}{2}g - \frac{7}{3} \]

So, the expanded expression is \( -\frac{7}{2}g - \frac{7}{3} \).

Among the given responses, the correct answer is:

−7/2g−7/3.