Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for v in terms of t, u, and w. $t = \\frac{1}{v}uw$ $v = $

Question

solve for v in terms of t, u, and w.
$t = \frac{1}{v}uw$
$v = $

Explanation:

Step1: Cross - multiply to eliminate the fraction

Given the equation \(t=\frac{1}{v}uw\), we can cross - multiply both sides by \(v\) to get \(t\times v=\frac{1}{v}uw\times v\). The right - hand side simplifies to \(uw\) (since \(\frac{1}{v}\times v = 1\)), so we have \(tv = uw\).

Step2: Solve for \(v\)

To isolate \(v\), we divide both sides of the equation \(tv=uw\) by \(t\) (assuming \(t
eq0\)). So, \(v=\frac{uw}{t}\).

Answer:

\(\frac{uw}{t}\)