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Suri purchased some paint and paintbrushes to paint her hallway. The expression \( 12.5 b+6(10+b) 12.5 b+6(10+b) \) represents the total cost, in dollars, in terms of the number of paintbrushes, \( b \), she bought. What is the value of the expression when \( b=4 \) ? A. \( \$ 114 \) B. \( \$ 290 \) c. \( \$ 64 \) D. \( \$ 134 \)

Ask by Ward Lyons. in the United States
Jan 23,2025

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When \( b = 4 \), the expression equals \$134.

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The Deep Dive

To find the total cost when \( b = 4 \), we can substitute \( 4 \) into the expression \( 12.5b + 6(10 + b) \). First, substitute \( b = 4 \): \[ 12.5(4) + 6(10 + 4) \] Now calculate \( 12.5(4) \): \[ 12.5(4) = 50 \] Next, calculate \( 10 + 4 = 14 \) and then \( 6(14) \): \[ 6(14) = 84 \] Now, add both results together: \[ 50 + 84 = 134 \] Therefore, the value of the expression when \( b = 4 \) is \( \$ 134 \). So the correct answer is D. \( \$ 134 \).

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