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: $$-\frac{7}{6}\cdot 3g=-\frac{21}{6}g=-\frac{7}{2}g(\text{simplifying}\frac{21}{6}=\frac{7}{2})$$

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

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.