Question
rearrange the formula for the quantity of interest P.
S= 1/2lp + b
S= 1/2lp + b
Answers
GPT-4o mini
To rearrange the formula \( S = \frac{1}{2}lp + b \) for the quantity of interest \( P \), we will isolate \( P \) on one side of the equation.
Starting with the original equation:
\[ S = \frac{1}{2}lp + b \]
1. Subtract \( b \) from both sides:
\[ S - b = \frac{1}{2}lp \]
2. Multiply both sides by 2 to eliminate the fraction:
\[ 2(S - b) = lp \]
3. Now, divide both sides by \( l \) to solve for \( p \):
\[ p = \frac{2(S - b)}{l} \]
So, the rearranged formula for \( P \) is:
\[ P = \frac{2(S - b)}{l} \]
where \( P \) represents \( p \) in your original equation.
Starting with the original equation:
\[ S = \frac{1}{2}lp + b \]
1. Subtract \( b \) from both sides:
\[ S - b = \frac{1}{2}lp \]
2. Multiply both sides by 2 to eliminate the fraction:
\[ 2(S - b) = lp \]
3. Now, divide both sides by \( l \) to solve for \( p \):
\[ p = \frac{2(S - b)}{l} \]
So, the rearranged formula for \( P \) is:
\[ P = \frac{2(S - b)}{l} \]
where \( P \) represents \( p \) in your original equation.