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