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:
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Distribute \( 0.04 \) to \( 50 \): \[ 0.04 \times 50 = 2 \]
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Distribute \( 0.04 \) to \( 30 \): \[ 0.04 \times 30 = 1.2 \]
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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: \[ 2 + 1.2 \]