Question
Solve Upper Q equals StartFraction d Over c plus t EndFraction for t
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Answers
GPT-4o mini
To solve for \( t \) in the equation
\[
Q = \frac{d}{c + t},
\]
we can follow these steps:
1. Multiply both sides by \( c + t \) to eliminate the fraction:
\[
Q(c + t) = d.
\]
2. Expand the left side:
\[
Qc + Qt = d.
\]
3. Isolate the term with \( t \) on one side:
\[
Qt = d - Qc.
\]
4. Finally, divide by \( Q \) to solve for \( t \):
\[
t = \frac{d - Qc}{Q}.
\]
Thus, the solution for \( t \) is:
\[
t = \frac{d - Qc}{Q}.
\]
\[
Q = \frac{d}{c + t},
\]
we can follow these steps:
1. Multiply both sides by \( c + t \) to eliminate the fraction:
\[
Q(c + t) = d.
\]
2. Expand the left side:
\[
Qc + Qt = d.
\]
3. Isolate the term with \( t \) on one side:
\[
Qt = d - Qc.
\]
4. Finally, divide by \( Q \) to solve for \( t \):
\[
t = \frac{d - Qc}{Q}.
\]
Thus, the solution for \( t \) is:
\[
t = \frac{d - Qc}{Q}.
\]