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

B) $t = \frac { m A } { m - A }$

C) $t = \frac { m - A } { m A }$

D) $t = 2 - \frac { m A } { m - A }$

Question

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

B) $t = \frac { m A } { m - A }$

C) $t = \frac { m - A } { m A }$

D) $t = 2 - \frac { m A } { m - A }$

Quizplus · Accepted Answer

To solve for $t$, we start with the given equation $\frac{1}{A} = \frac{1}{m} + \frac{1}{t}$. First, we isolate the term with $t$ on one side: $\frac{1}{t} = \frac{1}{A} - \frac{1}{m}$. To combine the fractions on the right, we find a common denominator, which is $Am$, leading to $\frac{1}{t} = \frac{m - A}{Am}$. Finally, we take the reciprocal of both sides to solve for $t$, resulting in $t = \frac{Am}{m - A}$.

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 $\frac { 1 } { A } = \frac { 1 } { m } + \frac { 1 } { t }$