Chapter 6

Prealgebra · 421 exercises

Problem 1

Identify each sample as biased or unbiased and describe its type. Explain your reasoning. To determine how many students at a middle school bring their lunch from home, all the students on one school bus are surveyed.

4 step solution

Problem 1

Solve each problem using the percent equation. What is \(20 \%\) of \(110 ?\)

5 step solution

Problem 1

Find the percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of change is a percent of increase or a percent of decrease. from \(\$ 50\) to \(\$ 67\)

2 step solution

Problem 1

Use the percent proportion to solve each problem . 16 is what percent of 40?

7 step solution

Problem 1

Determine whether the set of numbers in each table is proportional. $$\begin{array}{l|c|c|c|c|}\hline \text { Blue Paint (quarts) } & 1 & 2 & 3 & 4 \\ \hline \text { Yellow Paint (quarts) } & 5 & 6 & 7 & 8 \\\\\hline\end{array}$$

4 step solution

Problem 1

On a map of South Carolina, the scale is 1 inch \(=20\) miles. Find the actual distance for each map distance. $$\begin{array}{|l|l|c|}\hline \text { From } & \text { To } & \text { Map Distance } \\\\\hline \text { Columbia } & \text { Florence } & \text { 4 inches } \\\\\hline \end{array}$$

4 step solution

Problem 1

Express each percent as a fraction or mixed number in simplest form and as a decimal. $$30 \%$$

3 step solution

Problem 1

Find the percent of each number mentally. $$75 \% \text { of } 64$$

4 step solution

Problem 1

Solve each proportion. $$\frac{k}{35}=\frac{3}{7}$$

5 step solution

Problem 1

Express each ratio as a fraction in simplest form. 4 goals in 10 attempts

3 step solution

Problem 2

Identify each sample as biased or unbiased and describe its type. Explain your reasoning. To determine the theme for the homecoming dance, the homecoming committee surveys one classroom.

5 step solution

Problem 2

Solve each problem using the percent equation. Find \(28 \%\) of 158

4 step solution

Problem 2

Find the percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of change is a percent of increase or a percent of decrease. from \(\$ 228\) to \(\$ 251\)

4 step solution

Problem 2

Use the percent proportion to solve each problem. 18 is what percent of \(72 ?\)

5 step solution

Problem 2

Determine whether the set of numbers in each table is proportional. $$\begin{array}{|l|l|l|l|l|}\hline \text { Ice Tea Mix (cups) } & 1 & 2 & 3 & 4 \\\\\hline \text { Sugar (cups) } & 2 & 4 & 6 & 8 \\\\\hline\end{array}$$

4 step solution

Problem 2

On a map of South Carolina, the scale is 1 inch \(=20\) miles. Find the actual distance for each map distance. $$\begin{array}{|l|l|c|}\hline \text { From } & \text { To } & \text { Map Distance } \\ \hline \text { Myrtle Beach } & \text { Greenville } & 12 \frac{1}{2} \text { inches } \\\\\hline\end{array}$$

5 step solution

Problem 2

Find the percent of each number mentally. $$25 \% \text { of } 52$$

2 step solution

Problem 2

Express each percent as a fraction or mixed number in simplest form and as a decimal. $$65 \%$$

3 step solution

Problem 2

Express each ratio as a fraction in simplest form. 15 dimes out of 24 coins

5 step solution

Problem 3

Identify each sample as biased or unbiased and describe its type. Explain your reasoning. To determine shopping habits at a department store, one male and one female shopper are randomly selected and surveyed from each of their 75 stores.

4 step solution

Problem 3

Solve each problem using the percent equation. 15 is what percent of \(60 ?\)

4 step solution

Problem 3

Find the percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of change is a percent of increase or a percent of decrease. from 45 in. to 18 in.

4 step solution

Problem 3

Use the percent proportion to solve each problem. What percent of 5 is \(14 ?\)

5 step solution

Problem 3

The cost of 13 gallons of gasoline is 32.37 dollars. Write an equation relating cost to the number of gallons of gasoline. How much does 18.5 gallons of gasoline cost?

6 step solution

Problem 3

The Statue of Zeus at Olympia is one of the Seven Wonders of the World. On a scale model of the statue, the height of Zeus is 8 inches. If the actual height of Zeus is 40 feet, what is the scale of the statue?

5 step solution

Problem 3

Find the percent of each number mentally. $$33 \frac{1}{3} \% \text { of } 27$$

4 step solution

Problem 3

Express each percent as a fraction or mixed number in simplest form and as a decimal. $$12 \frac{1}{2} \%$$

3 step solution

Problem 3

Express each ratio as a fraction in simplest form. 10 inches to 3 feet

3 step solution

Problem 4

Find the percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of change is a percent of increase or a percent of decrease. from \(80 \mathrm{cm}\) to \(55 \mathrm{cm}\)

5 step solution

Problem 4

Solve each problem using the percent equation. 12 is what percent of \(400 ?\)

5 step solution

Problem 4

Use the percent proportion to solve each problem. What percent of 8 is \(20 ?\)

4 step solution

Problem 4

Determine whether the set of numbers in each table are proportional. $$\begin{array}{l|c|c|c|c|}\hline \text { Cans of Concentrate } & 1 & 2 & 3 & 4 \\\\\hline \text { Cans of Water } & 4 & 8 & 12 & 16 \\\\\hline\end{array}$$

3 step solution

Problem 4

Find the percent of each number mentally. $$90 \% \text { of } 80$$

4 step solution

Problem 4

Express each percent as a fraction or mixed number in simplest form and as a decimal. $$62 \frac{1}{2} \%$$

3 step solution

Problem 4

A 3-inch by 5-inch photo is enlarged so that the length of the new photo is 7 inches. Find the width of the new photo.

5 step solution

Problem 4

Express each ratio as a fraction in simplest form. 5 feet to 5 yards

4 step solution

Problem 5

Identify each sample as biased or unbiased and describe its type. Explain your reasoning. To determine what type of food people in a community like, Brad surveys \(10 \%\) of the people who enter 5 different fast food restaurants.

4 step solution

Problem 5

Solve each problem using the percent equation. 30 is \(60 \%\) of what number?

5 step solution

Problem 5

Determine whether the set of numbers in each table are proportional. $$\begin{array}{l|c|c|c|c|}\hline \text { Shaded Squares } & 1 & 2 & 3 & 4 \\\\\hline \text { Total Squares } & 8 & 15 & 30 & 42 \\\\\hline\end{array}$$

4 step solution

Problem 5

Use the percent proportion to solve each problem. What is \(80 \%\) of \(130 ?\)

7 step solution

Problem 5

Estimate. Explain which method you used to estimate. $$20 \% \text { of } 61$$

5 step solution

Problem 5

Express each percent as a fraction or mixed number in simplest form and as a decimal. $$125 \%$$

4 step solution

Problem 5

The distance between Tallahassee and Miami is 478 miles. Find the distance in kilometers if \(1 \mathrm{mi}=1.609 \mathrm{km} .\) Round to the nearest kilometer.

2 step solution

Problem 5

Express each rate as a unit rate. Round to the nearest tenth, if necessary. \(\$ 183\) for 4 concert tickets

6 step solution

Problem 6

Identify each sample as biased or unbiased and describe its type. Explain your reasoning. To determine the quality of cell phones coming off an assembly line, the manager chooses one cell phone every 20 minutes and checks it.

4 step solution

Problem 6

On a set of architectural drawings for a new school, the scale is \(\frac{1}{2}\) inch \(=\) 9 feet. Find the actual length of each room. $$\begin{array}{|l|c|}\hline \quad \quad \quad \text { Room } & \text { Drawing Distance } \\ \hline \text { Classroom } & 5 \text { inches } \\\\\hline\end{array}$$

3 step solution

Problem 6

ANIMALS In 2000 , there were 356 endangered species in the United States Five years later, 389 species were considered endangered. What was the percent of change?

4 step solution

Problem 6

Determine whether the set of numbers in each table are proportional. $$\begin{array}{|l|l|l|l|l|}\hline \text { Junk E Mails } & 10 & 20 & 30 & 40 \\\\\hline \text { Total E Mails } & 15 & 30 & 45 & 60 \\\\\hline\end{array}$$

6 step solution

Problem 6

Use the percent proportion to solve each problem What is \(74 \%\) of \(56 ?\)

5 step solution

Problem 6

Solve each problem using the percent equation. 150 is \(75 \%\) of what number?

5 step solution

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