Solve for the indicated variable.
-$\frac { 1 } { A } = \frac { 1 } { m } + \frac { 1 } { t }$, for $t$
A) $\mathrm { t } = 1 - \frac { \mathrm { mA } } { \mathrm { m } - \mathrm { A } }$
B) $t = \frac { m A } { m - A }$
C) $t = 1 + \frac { \mathrm { mA } } { \mathrm { m } - \mathrm { A } }$
D) $\mathrm { t } = \frac { \mathrm { m } - \mathrm { A } } { \mathrm { mA } }$

Question

Quizplus · Accepted Answer

To solve for $t$, we start with the given equation $\frac { 1 } { A } = \frac { 1 } { m } + \frac { 1 } { t }$. First, we find a common denominator for the right side, which is $mt$, and rewrite the equation as $\frac { 1 } { A } = \frac { t + m } { mt }$. Then, we solve for $t$ by cross-multiplying and rearranging the terms, leading to $t = \frac { m A } { m - A }$.

Solve for the Indicated Variable 1A=1m+1t\frac { 1 } { A } = \frac { 1 } { m } + \frac { 1 } { t }A1​=m1​+t1​

Solve for the Indicated Variable $\frac { 1 } { A } = \frac { 1 } { m } + \frac { 1 } { t }$