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:
- \( 0.06 \times 40 = 2.4 \)
- \( 0.06 \times 30 = 1.8 \)
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.