One way to calculate the total tax is 0.06(40 + 30). The total tax is $.Expand the expression 0.06(40 + 30) using the distributive property. The new expression is

Answer 1

To expand the expression \( 0.06(40 + 30) \) using the distributive property, you distribute \( 0.06 \) to both terms inside the parentheses:

\[ 0.06(40) + 0.06(30) \]

Now, calculate each part:

1. \( 0.06 \times 40 = 2.4 \)
2. \( 0.06 \times 30 = 1.8 \)

Now, combining those results, we get:

\[ 2.4 + 1.8 \]

Therefore, the expanded expression is:

\[ 2.4 + 1.8 \]

And when added together, the total tax is:

\[ 2.4 + 1.8 = 4.2 \]

So, the final expanded expression is \( 2.4 + 1.8 \) and the total tax is \( 4.2 \) dollars.