91Ó°ÊÓ

SOLVING EQUATIONS Multiply by a reciprocal to solve the equation. $$ \frac{5}{8} m=-20 $$

Write the fraction in simplest form. $$ \frac{16}{32} $$

In Exercises 43–45, use the following information. School buses that have 71 seats will be used to transport 162 students and 30 adults. Write an equation to find the number of buses needed.

In Exercises 42 and \(43,\) use 9.242 pesos per dollar as the rate of currency exchange. You are visiting Mexico and have taken \(\$ 325\) United States dollars to spend on your trip. Round to the nearest whole number. You have 840 pesos left after your trip. How many dollars will you get back?

There are a total of 28 marbles in a bag. Six of the marbles are red and the rest are blue. What is the ratio of red marbles to blue marbles? A. \(\frac{2}{11}\) B. \(\frac{6}{28}\) C. \(\frac{3}{14}\) D. \(\frac{3}{11}\)

What power of ten would you multiply the equation 5.692x 1.346 8.451x by to change it to an equivalent equation with integer coefficients? $$ (A)10^{1} $$ $$ (B)10^{2} $$ $$ (C)10^{3} $$ $$ (D)10^{4} $$

Write the fraction in simplest form. $$ \frac{9}{27} $$

Steamboats carried cotton and passengers up and down the Mississippi River in the mid- 1800 s. A steamboat could travel 8 miles per hour downstream from Natchez, Mississippi, to New Orleans, Louisiana, and only 3 miles per hour upstream from New Orleans to Natchez. It was about 265 miles each way. If it took a steamboat 55 more hours to go upstream than it did to go downstream, how long did it take to complete the roundtrip? Solve \(8 t=3(t+55),\) where \(t\) is the time (in hours) it takes the steamboat to travel downstream and \((t+55)\) is the time it takes to travel upstream.

You want to exchange 60 dollars Canadian dollars into United States dollars. The exchange rate is 1.466 Canadian dollars per United States dollar on the day you exchange the money. How many United States dollars will you get? F. 41 dollars G. 46 dollars H. 131 dollars J. 221 dollars

MODELING REAL-LIFE PROBLEMS Use the verbal model to write a linear equation. Then use the multiplication property of equality to solve the equation. It takes 45 peanuts to make one ounce of peanut butter. How many peanuts will be needed to make a 12 -ounce jar of peanut butter? \(\frac{\text { Number of peanuts }}{\text { Number of ounces }}=\) Number of peanuts per ounce