Final answer:
To make m the subject of the formula m/v - t/b = m-t /r, multiply both sides by vr, rearrange the equation, factor out m, and then divide both sides by v - 1.
Step-by-step explanation:
To make m the subject of the formula m/v - t/b = m-t /r, we can start by multiplying both sides of the equation by vr to eliminate the denominators:
r(m/v) - r(t/b) = r(m-t/r)
This gives us:
rmv - rtb = rm - rt
Now, we can rearrange the equation to isolate m on one side:
rmv - rm = rtb - rt
Finally, we can factor out m from the first two terms and then divide both sides by v - 1 to solve for m:
m(rv - r) = rtb - rt
m = (rtb - rt) / (rv - r)