함수와 그래프 전체 문제

Solve Rational Equations

In the following exercises, solve.

$\frac{z}{12}+\frac{z+3}{3z}=\frac{1}{z}$

Solve a Rational Equation for a Specific Variable

In the following exercises, solve for the indicated variable.

$\frac{V}{l}=hw\,\text{for}\,l$

Solve a Rational Equation for a Specific Variable

In the following exercises, solve for the indicated variable.

$\frac{1}{x}-\frac{2}{y}=5\,\text{for}\,y$

Solve a Rational Equation for a Specific Variable

In the following exercises, solve for the indicated variable.

$x=\frac{y+5}{z-7}\,\text{for}\,z$

Solve a Rational Equation for a Specific Variable

In the following exercises, solve for the indicated variable.

$P=\frac{k}{V}\,\text{for}\,V$

Solve Proportions

In the following exercises, solve.

$\frac{x}{4}=\frac{3}{5}$

Solve Proportions

In the following exercises, solve.

$\frac{3}{y}=\frac{9}{5}$

Solve Proportions

In the following exercises, solve.

$\frac{s}{s+20}=\frac{3}{7}$

Solve Proportions

In the following exercises, solve.

$\frac{t-3}{5}=\frac{t+2}{9}$

Rachael had a 21 ounce strawberry shake that has 739 calories. How many calories are there in a 32 ounce shake?

Leo went to Mexico over Christmas break and changed $525 dollars into Mexican pesos. At that time, the exchange rate had $1 US is equal to 16.25 Mexican pesos. How many Mexican pesos did he get for his trip?

∆ABC is similar to ∆XYZ. The lengths of two sides of each triangle are given in the figure. Find the lengths of the third sides.

On a map of Europe, Paris, Rome, and Vienna form a triangle whose sides are shown in the figure below. If the actual distance from Rome to Vienna is 700 miles, find the distance from

• ⓐ Paris to Rome
• ⓑ Paris to Vienna

Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. Find the height of the tree.

The height of a lighthouse in Pensacola, Florida is 150 feet. Standing next to the statue, 5.5 foot tall Natalie cast a 1.1 foot shadow How long would the shadow of the lighthouse be?

When making the 5-hour drive home from visiting her parents, Lisa ran into bad weather. She was able to drive 176 miles while the weather was good, but then driving 10 mph slower, went 81 miles in the bad weather. How fast did she drive when the weather was bad?

Mark is riding on a plane that can fly 490 miles with a headwind of 20 mph in the same time that it can fly 350 miles against a tailwind of 20 mph. What is the speed of the plane?

John can ride his bicycle 8 mph faster than Luke can ride his bike. It takes Luke 3 hours longer than John to ride 48 miles. How fast can John ride his bike?

Mark was training for a triathlon. He ran 8 kilometers and biked 32 kilometers in a total of 3 hours. His running speed was 8 kilometers per hour less than his biking speed. What was his running speed?

Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long could they frame a room working together?