Expand 7/10(5d+6)

Question

.(1 point)
Responses
35d + 6
5d + 21/5
7/2d + 21/5
35d + 42

Answer 1

To expand $\frac{7}{10}(5d+6)$, we distribute $\frac{7}{10}$ to both terms inside the parentheses:

$$\frac{7}{10}\cdot 5d+\frac{7}{10}\cdot 6$$

Calculating each term separately:

1. For the first term: $$\frac{7}{10}\cdot 5d=\frac{35d}{10}=3.5d$$

2. For the second term: $$\frac{7}{10}\cdot 6=\frac{42}{10}=4.2$$

So the expanded form is: $$3.5d+4.2$$

However, since the options given do not match, let's convert the numbers to fractions:

• $3.5d=\frac{7}{2}d$
• $4.2=\frac{21}{5}$

Thus, the final expanded form is: $$\frac{7}{2}d+\frac{21}{5}$$

Therefore, the correct response is:

7/2d + 21/5