Question

Solve the equation or formula for the indicated variable. S = 5r²t, for t

Answer 1

t = S/5r^2

Answer 2

how did you figure tht out i need help on figuring it out not just the answer

Answer 3

Well you want to isolate t, that means you want everything except t to be on one side of the equals-sign. The method for that is to do the reverse operations wherever t is not alone, so in this t is multiplied by \(5r^2\) so we divide both sides by \(5r^2\), and the result is
\[ \frac{S}{5r^2}=\frac{5r^2t}{5r^2} \]
On the right side we can cancel \(5r^2\), so the answer is
\[ t=\frac{S}{5r^2} \]