Answer
$\frac{5}{12}$
Work Step by Step
We are asked to evaluate the given expression when $x=-5$, $y=4$, and $t=10$. We can plug in the given variables directly to evaluate.
$\frac{|5y-x|}{6t}=\frac{|5(4)-(-5)|}{6(10)}=\frac{|5\times4+5|}{6\times10}=\frac{|20+5|}{60}=\frac{|25|}{60}=\frac{25}{60}=\frac{25\div5}{60\div5}=\frac{5}{12}$