Question

One way to calculate the total tax is 0.04(50 + 30). The total tax is $.Expand the expression 0.04(50 + 30) using the distributive property. The new expression is

Answer 1

To expand the expression \( 0.04(50 + 30) \) using the distributive property, you multiply \( 0.04 \) by each term inside the parentheses.

Here's how to do it step by step:

1. Distribute \( 0.04 \) to \( 50 \):
\[
0.04 \times 50 = 2
\]

2. Distribute \( 0.04 \) to \( 30 \):
\[
0.04 \times 30 = 1.2
\]

3. Now add the results together:
\[
2 + 1.2 = 3.2
\]

So, the new expression when expanded is:
\[
0.04(50) + 0.04(30) = 2 + 1.2
\]

And the total tax is:
\[
3.2
\]

Thus, the expanded expression is:
\[
2 + 1.2
\]