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Answer :
Sure, let's solve the equation [tex]\( 0.34p + 0.49f = 5.00 \)[/tex] for [tex]\( f \)[/tex].
Step-by-Step Solution:
1. Write down the given equation:
[tex]\[ 0.34p + 0.49f = 5.00 \][/tex]
2. Isolate the term involving [tex]\( f \)[/tex] on one side of the equation:
To do this, we want to move [tex]\( 0.34p \)[/tex] to the other side of the equation by subtracting [tex]\( 0.34p \)[/tex] from both sides:
[tex]\[ 0.49f = 5.00 - 0.34p \][/tex]
3. Solve for [tex]\( f \)[/tex]:
To isolate [tex]\( f \)[/tex], we need to divide both sides of the equation by 0.49:
[tex]\[ f = \frac{5.00 - 0.34p}{0.49} \][/tex]
4. Simplify the fraction as much as possible:
[tex]\[ f = \frac{5.00}{0.49} - \frac{0.34p}{0.49} \][/tex]
[tex]\[ f = 10.2040816326531 - 0.693877551020408p \][/tex]
So, the solution for [tex]\( f \)[/tex] is:
[tex]\[ f = 10.2040816326531 - 0.693877551020408p \][/tex]
Step-by-Step Solution:
1. Write down the given equation:
[tex]\[ 0.34p + 0.49f = 5.00 \][/tex]
2. Isolate the term involving [tex]\( f \)[/tex] on one side of the equation:
To do this, we want to move [tex]\( 0.34p \)[/tex] to the other side of the equation by subtracting [tex]\( 0.34p \)[/tex] from both sides:
[tex]\[ 0.49f = 5.00 - 0.34p \][/tex]
3. Solve for [tex]\( f \)[/tex]:
To isolate [tex]\( f \)[/tex], we need to divide both sides of the equation by 0.49:
[tex]\[ f = \frac{5.00 - 0.34p}{0.49} \][/tex]
4. Simplify the fraction as much as possible:
[tex]\[ f = \frac{5.00}{0.49} - \frac{0.34p}{0.49} \][/tex]
[tex]\[ f = 10.2040816326531 - 0.693877551020408p \][/tex]
So, the solution for [tex]\( f \)[/tex] is:
[tex]\[ f = 10.2040816326531 - 0.693877551020408p \][/tex]
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