Expand 7/10(5d+6)

Question

.(1 point)
Responses

5d
+ 215
5 d + 21 fifths

35d + 42
35d + 42

72d + 21/5
72d + 21/5

35d + 6

Answer 1

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

\[ \frac{7}{10}(5d) + \frac{7}{10}(6) \]

Calculating each term:

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

2. For the second term: \[ \frac{7}{10} \cdot 6 = \frac{42}{10} = 4.2 = 21/5 \]

Now combine the two results: \[ \frac{35}{10}d + \frac{42}{10} = 35d + 42 \]

So, the expanded expression is:

\[ 35d + 42 \]

The correct response from your options is: 35d + 42.