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mathematics
calculus

Prealgebra 7th edition Elayn Martin Gay - Solutions

Write each rate as a fraction in simplest form. 1. 2 teachers for 18 students 2. 6 nurses for 24 patients
Write each rate as a unit rate. 1. 136 miles in 4 hours 2. 12 gallons of milk from 6 cows
For below Exercises, write the ratio or rate in simplest form. 1. During the 2012 Summer Olympics in London, a total of 962 medals were awarded. Athletes from the Netherlands won a total of 20 medals. Find the ratio of medals won by the Netherlands to the total medals awarded. 2. Paul Crake of
Find each unit price and decide which is the better buy. Round to 3 decimal places. Assume that we are comparing different sizes of the same brand. 1. Cold medicine: $4.94 for 4or. $9.98 for 8 or. 2. Juice: 12 or for $0.65 64 oz for $2.98
Write each sentence as a proportion. 1. 2 cups of cookie dough is to 30 cookies as 4 cups of cookie dough is to 60 cookies. 2. 5 nickels is to 3 dollars as 20 nickels is to 12 dollars.
Write each rate as a fraction in simplest form. 1. 6000 people to 2400 pets 2. 15 pages printed in 6 minutes
Find the unknown length in each given right triangle. If necessary, round to the nearest tenth. 1. leg = 66, leg = 56 2. leg = 12, hypotenuse = 24
Given that the pairs of triangles are similar, find the unknown length n.1.2.
Write each rate as a unit rate. 1. 468 miles in 9 hours 2. 180 feet in 12 seconds 3. $6.96 for 4 diskettes 4. 104 bushels of fruit from 8 trees
The bar graph shows the predicted fastest-growing occupations by percent that require an associate degree or more education. Use this graph for following Exercises.1. What occupation is predicted to be the second fastest growing? 2. Write the percent change for event planners as a decimal.
One hundred adults were asked to name their favorite sport, and the results are shown in the circle graph.1. What sport was preferred by the least number of adults? What percent preferred this sport? 2. What percent of adults preferred basketball or baseball?
Complete each table. 1.2.
Write each percent as a decimal and a fraction. 1. Japan exports 80.5% of all motorcycles manufactured there. 2. From 2000 to 2011, use of smoked tobacco products in the United States decreased by 27.5%. 3. Approximately 15.7% of the American population is not covered by health insurance.
In following Exercises, write the percent from the circle graph as a decimal and a fraction. 1. Europe: 11% 2. Asia: 60.6%
1. The United States' share of the total world motor vehicle production is 0.123. Write this decimal as a percent. 2. In a particular year, 1/4 of light trucks sold in the United States were white. Write this fraction as a percent. 3. In 2013, 20% of viewers bought a high-definition television to
Solve. 1. Given the percent 0.5269%, round as indicated. a. Round to the nearest tenth percent. b. Round to the nearest hundredth percent. 2. Which of the following are correct? a. 0.231 = 23.1% b. 5.12 = 0.0512% c. 3.2 = 320% d. 0.0175 = 0.175%
1. 25% of 68 is what number? 2. What number is 18% of 425? 3. 0.22 is 44% of what number? 4. 4 1/2 % of what number is 45? 5. What percent of 40 is 60?
Translate each to an equation. Do not solve. 1. 36% of 72 is what number? 2. 40% of what number is 6? 3. 0.7 is 20% of what number? 4. 9.2 is what percent of 92? 5. What number is 25% of 55?
1. 0.5 is 5% of what number? 2. 300% of 56 is what number? 3. 72 is 6 1/4% of what number? 4. 2.64 is what percent of 25? 5. What number is 36% of 80?
1. What percent of 120 is 76.8? 2. 160% of what number is 40? 3. 4.8% of 32 is what number? 4. What percent of 500 is 2? 5. 9.75 is 7.5% of what number?
1. 2520 is what percent of 3500? 2. 2 is what percent of 40?
Write each sentence as a proportion. 1. 20 is to 25 as x is to 10. 2. 5 is to 6 as 15 is to x.
For each exercise, determine whether the percent, x, is (a) 100%, (b) greater than 100%, or (c) less than 100%. See the second Concept Check in this section. 1. x% of 98 is 98 2. x% of 35 is 50
For each exercise, determine whether the number, y, is (a) equal to 45, (b) greater than 45, or (c) less than 45. 1. 230% of 45 is y 2. 30% of y is 45 3. 180% of y is 45
What percent of 75,528 is 27,945.36?
1. 25% of 84 is what number? 2. What number is 60% of 29? 3. 55% of what number is 55? 4. 1.1 is 44% of what number?
Translate each to a proportion. Do not solve. 1. 92% of 30 is what number? 2. What number is 7% of 175? 3. 1.2 is 47% of what number? 4. 85% of what number is 520? 5. What percent of 900 is 216?
1. 7.4 is 5% of what number? 2. 2.5% of 90 is what number? 3. 30 is 6% of what number? 4. 550.4 is what percent of 172? 5. what number is 53% of 130?
1. What percent of 5 is 1.6? 2. 170% of what number is 221? 3. 7.8% of 24 is what number? 4. what percent of 500 is 3? 5. 9.18 is 6.8% of what number?
1. 75% of 14 is what number? 2. 9310 is what percent of 3800?
Suppose you have finished solving four percent problems using proportions that you set up correctly. Check each answer to see if each makes the proportion a true proportion. If any proportion is not true, solve it to find the correct solution. See the Concept Checks in this section. 1. 520/b =
Round to the nearest tenth, if necessary. 1. What percent of 110,736 is 88,542?
Of the 97,100 veterinarians in private practice in the United States, approximately 52,434 are female. Determine the percent of female veterinarians in private practice in the United States. In 2012, there were about 40,000 cinema screens in the United States. Use this information for following
In 2012, there were about 40,000 cinema screens in the United States. Use this information for following Exercises. The enrollment at a local college decreased by 5% over last year's enrollment of 7640. Find the decrease in enrollment and the current enrollment.
In 2012, there were about 40,000 cinema screens in the United States. Use this information for following Exercises.From 2007 to 2012, the number of households owning turtles increased by 19.3%. The number of households owning turtles in 2007 was 1,106,000. Find the number of households owning
Two states, Michigan and Rhode Island, decreased in population from 2010 to 2012. Their locations are shown on the U.S. map below.In 2010, the population in Michigan was approximately 9,938,000. If the population decrease was about 0.6%, find the population of Michigan in 2012.
A popular extreme sport is snowboarding. Ski trails are marked with difficulty levels of easy intermediate difficult expert and other variations. Use this information for following Exercises. Round each percent to the nearest whole. At Telluride ski area in Colorado, about 28 of the 115 total ski
Solve. For following Exercises, the solutions have been started for you. If necessary, round percents to the nearest tenth and all other answers to the nearest whole. A day care worker found 28 children absent one day during an epidemic of chicken pox. If this was 35% of the total number of
Unsweetened cocoa powder serving size of 1 tablespoonFor food described, find the percent of total calories from fat. If necessary, round to the nearest tenth percent.
For each food described, find the percent of total calories from fat. If necessary, round to the nearest tenth percent.
For each food described, find the percent of total calories from fat. If necessary, round to the nearest tenth percent
A banker learned that $842.40 is withheld from his monthly check for taxes and insurance. If this represents 18% of his total pay, find the total pay.
A manufacturer of electronic components expects 1.04% of its products to be defective. Determine the number of defective components expected in a batch of 28,350 components. Round to the nearest whole component
A union contract calls for a 6.5% salary increase for all employees. Determine the increase and the new salary that a worker currently making $58,500 under this contract can expect.
A popular extreme sport is artificial wall climbing. The photo shown is an artificial climbing wall. Exercises are about the Footsloggers Climbing Tower in Boone, North Carolina.A group plans to climb the Footsloggers Climbing Tower at the group rate, once they save enough money. Thus far, $126 has
A popular extreme sport is artificial wall climbing. The photo shown is an artificial climbing wall. Exercises are about the Footsloggers Climbing Tower in Boone, North Carolina.The population of Americans aged 65 and older was 40 million in 2010. That population is projected to increase by 80.5%
A popular extreme sport is artificial wall climbing. The photo shown is an artificial climbing wall. Exercises are about the Footsloggers Climbing Tower in Boone, North Carolina.From 2013-2014 to 2020-2021, the number of bachelor degrees awarded is projected to increase by 7.6%. If the number of
Find the amount of increase and the percent increase.1.2.
The maximum weight resistance for one model of Total Gym is 60% of the weight of the person using it. Find the maximum weight resistance possible for a 220-pound man.
Find the amount of decrease and the percent decrease.1.2.
1. In reaction to a slow economy, the number of employees at a soup company decreased from 530 to 477. What was the percent decrease in the number of employees?2. The number of cable TV systems recently decreased from 10,845 to 10,700. Find the percent decrease.3. The population of Japan is
Solve. Round percents to the nearest tenth, if necessary. 1. In 2010, approximately 493 thousand correctional officers were employed in the United States. By 2020, this number is expected to increase to 518 thousand correctional officers. What is the percent increase? 2. As the largest health care
Semiconductors are the foundation for solid-state electronics, including digital televisions (DTV). Businesses measure the overall decline in the production of televisions by studying DTV semiconductor revenue. (Examples of semiconductor use in DTVs include the main board for DTVs, power, LED
Semiconductors are the foundation for solid-state electronics, including digital televisions (DTV). Businesses measure the overall decline in the production of televisions by studying DTV semiconductor revenue. (Examples of semiconductor use in DTVs include the main board for DTVs, power, LED
Solve. For following Exercises, the solutions have been started for you. If necessary, round percents to the nearest tenth and all other answers to the nearest whole. The maximum weight resistance for one model of Total Gym is 60% of the weight of the person using it. Find the maximum weight
In 1999, Napster, a free online file-sharing service, debuted. iTunes, which debuted in 2003, is given credit for getting people to start paying for digital music. This 4-year gap between the starts of these two companies was only the beginning of the period of the decline in music revenue.
If about 16% of the total screens in the United States were analog screens, find the number of analog screens. In 2012, there were about 40,000 cinema screens in the United States. Use this information for following Exercises.
1. The sales tax on the purchase of a TV-DVD combination is $32.85. If the tax rate is 9%, find the purchase price of the TV-DVD.2. The sales tax is $103.50 on a necklace purchase of $1150. Find the sales tax rate.3. Ms. Warner bought a blouse for $35, a skirt for $55, and a blazer for $95. Find
1. If the sales tax rate is 6%, find the sales tax on a microwave oven priced at $188.2. A stereo system has a purchase price of $426. What is the total price if the sales tax rate is 8%?3. The sales tax on the purchase of a $6800 used car is $374. Find the sales tax rate.4. The sales tax on a
1. A salesperson earned a commission of $3575 for selling $32,500 worth of books to various bookstores. Find the commission rate. 2. Frankie Lopez sold $9638 of jewelry this week. Find her commission for the week if she receives a commission rate of 5.6%. 3. A salesperson earned $1750 for selling
Find the amount of discount and the sale price1.2. 3. 4.
A $4295 designer dress is on sale for 30% off. Find the amount of discount and the sale price.
Complete each table.1.2. 3. 4.
Your purchase price is $200 and the tax rate is 10%. Choose the best estimate of the total price. a. $190 b. $210 c. $220 d. $300
One very useful application of percent is mentally calculating a tip. Recall that to find 10% of a number, simply move the decimal point one place to the left. To find 20% of a number, just double 10% of the number. To find 15% of a number, find 10% and then add to that number half of the 10%
1. Which is better, a 30% discount followed by an additional 25% off or a 20% discount followed by an additional 40% off? To see, suppose an item costs $100 and calculate each discounted price. Explain your answer. 2. A house recently sold for $562,560. The commission rate on the sale is 5.5%. If
1. $265,000 is borrowed to buy a house. If the simple interest rate on the 30-year loan is 8.25%, find the interest paid on the loan and the total amount paid back. 2. The Real Service Company takes out a 270-day (9-month) short-term, simple interest loan of $4500 to finance the purchase of some
1. $2060 is compounded annually at a rate of 15% for 10 years. 2. $1450 is compounded quarterly at a rate of 10% for 15 years. 3. $3500 is compounded daily at a rate of 8% for 10 years. Find the total amount in each compound interest account
Find the simple interest.1.2. 3. 4. 5.
Find the total amount in each compound interest account. 1. $6375 is compounded semiannually at a rate of 10% for 1 year. 2. $2000 is compounded semiannually at a rate of 8% for 5 years. 3. $2000 is compounded daily at a rate of 8% for 5 years.
1. In a survey of 100 adults, 37 preferred pepperoni on their pizzas. What percent preferred pepperoni? 2. A basketball player made 77 out 100 attempted free throws. What percent of free throws was made?
Write each decimal as a percent. 11. 1.6 12. 0.055 13. 0.076 14. 0.085
Write each decimal as a percent. 1. 0.71 2. 0.65 3. 6 4. 9
Write each percent as a fraction or mixed number in simplest form. 1. 7% 2. 15% 3. 25% 4. 8.5%
Write each percent as a fraction or mixed number in simplest form. 1. 10.2% 2. 16 2/3% 3. 33 1/3% 4. 110%
Write each percent as a decimal. 1. 26% 2. 75% 3. 3.5% 4. 1.5%
1. 1250 is 1.25% of what number? 2. What number is 33 1/3 % of 24,000? 3. 124.2 is what percent of 540? Translate each to an equation and solve.
1. 22.9 is 20% of what number? 2. What number is 17% of 640? 3. 693 is what percent of 462? Translate each to an equation and solve.
1. 104.5 is 25% of what number? 2. 16.5 is 5.5% of what number? 3. What number is 30% of 532? Translate each to a proportion and solve.
Translate each to a proportion and solve. 1. 63 is what percent of 35? 2. 93.5 is what percent of 85? 3. What number is 33% of 500?
In a survey of 2000 people, it was found that 1320 have a microwave oven. Find the percent of people who own microwaves.
Of the 12,360 freshmen entering County College, 2000 are enrolled in prealgebra. Find the percent of entering freshmen who are enrolled in prealgebra. Round to the nearest whole percent.
The number of violent crimes in a city decreased from 675 to 534. Find the percent decrease. Round to the nearest tenth percent.
The current charge for dumping waste in a local landfill is $16 per cubic foot. To cover new environmental costs, the charge will increase to $33 per cubic foot. Find the percent increase.
A local union negotiated a new contract that increases the hourly pay 15% over last year's pay. The old hourly rate was $11.50. Find the new hourly rate rounded to the nearest cent.
This year the fund drive for a charity collected $215,000. Next year, a 4% decrease is expected. Find how much is expected to be collected in next year's drive.
1. If the sales tax rate is 9.5%, what is the total amount charged for a $250 coat? 2. Find the sales tax paid on a $25.50 purchase if the sales tax rate is 8.5%. Round to the nearest cent.
1. Russ James is a sales representative for a chemical company and is paid a commission rate of 5% on all sales. Find his commission if he sold $100,000 worth of chemicals last month. 2. Carol Sell is a sales clerk in a clothing store. She receives a commission of 7.5% on all sales. Find her
1. A $3000 mink coat is on sale for 30% off. Find the discount and the sale price. 2. A $90 calculator is on sale for 10% off. Find the discount and the sale price.
a. Find the simple interest due on $4000 loaned for 4 months with a 12% interest rate.b. Find the simple interest due on $6500 loaned for 3 months with a 20% interest rate.c. Calculate the total amount in an account if $5500 is compounded annually at 12% for 15 years.
1. Find the simple interest due on $4000 loaned for 4 months with a 12% interest rate. 2. Find the simple interest due on $6500 loaned for 3 months with a 20% interest rate. 3. Find the total amount in an account if $5500 is compounded annually at 12% for 15 years.
1. Find the total amount in an account if $6000 is compounded semiannually at 11% for 10 years. 2. Find the total amount in an account if $100 is compounded quarterly at 12% for 5 years. 3. Find the total amount in an account if $1000 is compounded quarterly at 18% for 20 years.
Write each percent as a decimal. 1. 275% 2. 400% 3. 47.85% 4. 85.34%
Translate each into an equation and solve. 1. 43 is 16% of what number? 2. 27.5 is what percent of 25? 3. What number is 36% of 1968? 4. 67 is what percent of 50?
Translate each into a proportion and solve. 1. 75 is what percent of 25? 2. What number is 16% of 240? 3. 28 is 5% of what number? 4. 52 is what percent of 16?
1. The total number of cans in a soft drink machine is 300. If 78 soft drinks have been sold, find the percent of soft drink cans that have been sold. 2. A home valued at $96,950 last year has lost 7% of its value this year. Find the loss in value. 3. A dinette set sells for $568.00. If the sales
1. A candy salesman makes a commission of $1.60 from each case of candy he sells. If a case of candy costs $12.80, what is his rate of commission? 2. Find the total amount due on a 6-month loan of $1400 at a simple interest rate of 13%. 3. Find the total amount due on a loan of $5500 for 9 years at
The following pictograph shows the average number of wildfires in the United States between 2006 and 2012. Use this graph to answer in below Exercises.1. Approximately how many wildfires were there in 2012? 2. In what years were the number of wildfires greater than 72,000? 3. What was the amount of
The National Weather Service has exacting definitions for hurricanes; they are tropical storms with winds in excess of 74 mph. The following bar graph shows the number of hurricanes, by month, that have made landfall on the mainland United States between 1851 and 2012. Use this graph to answer in

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