Question

Expand 7/10(5d+6)
.(1 point)
Responses

35d + 42
35d + 42

7/2d + 21/5
72d + 215

5d
+ 21/5
5 d + 21 fifths

35d + 6

Answer 1

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

1. Distributing \( \frac{7}{10} \) to \( 5d \):
\[
\frac{7}{10} \times 5d = \frac{35d}{10} = 3.5d \quad \text{or} \quad 35d/10
\]

2. Distributing \( \frac{7}{10} \) to \( 6 \):
\[
\frac{7}{10} \times 6 = \frac{42}{10} = 4.2 \quad \text{or} \quad 42/10
\]

Combining these, we get:
\[
\frac{7}{10}(5d + 6) = 3.5d + 4.2
\]

Expressing it in fractional form (if necessary):
\[
= \frac{35d}{10} + \frac{42}{10} = \frac{35d + 42}{10}
\]

However, if we keep it in simpler terms, it results in:
\[
35d + 42
\]

So, the expanded form of \( \frac{7}{10}(5d + 6) \) is:
\[
\boxed{35d + 42}
\]