Solve for \( p \) \( \frac{p-4.6}{5.7}=\frac{6.1}{2} \) \( p=26.585 \) \( p=21.985 \) \( p=12.785 \) \( p=8.185 \)
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To solve the equation \( \frac{p-4.6}{5.7}=\frac{6.1}{2} \), first calculate \( \frac{6.1}{2} \), which equals \( 3.05 \). Now, you can rewrite the equation as \( \frac{p-4.6}{5.7} = 3.05 \). Next, multiply both sides by 5.7 to eliminate the fraction: \( p - 4.6 = 3.05 \times 5.7 \). Calculating \( 3.05 \times 5.7 \) gives you \( 17.385 \). Therefore, the equation becomes: \( p - 4.6 = 17.385 \). Now, add \( 4.6 \) to both sides: \( p = 17.385 + 4.6 \), which equals \( 21.985 \). So the correct value of \( p \) is \( 21.985 \).