91Ó°ÊÓ

Solve the proportion:$\frac{y}{y+55}=\frac{3}{8}.$

Solve the proportion:$\frac{z}{z-84}=-\frac{1}{5}.$

Solve:$\frac{v+30}{8}=\frac{v+66}{12}.$

Solve:$\frac{2x+15}{9}=\frac{7x+3}{15}$.

Pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child’s weight. How many milliliters of acetaminophen will the doctor prescribe for Emilia, who weighs 60 pounds?

In the following exercises, determine the values for which the rational expression is undefined.

$$\begin{gathered} \left(a\right)\frac{2x}{z} \\ \left(b\right)\frac{4p-1}{6p-5} \\ \left(c\right)\frac{n-3}{n^2+2n-8} \end{gathered}$$

In the following exercises, evaluate the rational expression for the given values.

$$\begin{gathered} \frac{z^2+3z-10}{z^2-1} \\ \left(a\right)z=0 \\ \left(b\right)z=2 \\ \left(c\right)z=-2 \end{gathered}$$

Divide Rational Expressions:$\frac{7+x}{x-6}÷\frac{49−x^2}{x+6}$

Divide Rational Expressions:$\frac{27y^2}{3y − 21} ÷\frac{3y^2+18}{y^2+13y+42}$.

Divide Rational Expressions:$\frac{24z^2}{2z − 8}÷\frac{4z-28}{z^2-11z+28}$