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Prealgebra 7th edition Elayn Martin Gay - Solutions

Solve. For Exercises 25 and 26, the solutions have been started for you.Texas has twice the number of electoral votes for president as Michigan. If the total number of electoral votes for these two states is 51, find the number for each state.
Norway has had three times as many rulers as Liechtenstein. If the total number of rulers for both countries is 56, find the number of rulers for Norway and the number for Liechtenstein.
The average life expectancy for an elephant is 24 years longer than the life expectancy for a chimpanzee. If the total of these life expectancies is 130 years, find the life expectancy of each.
The global brand Microsoft has a recognition value worth $26 billion more than Apple's. If the total value of these two global brands is $92 billion, find the value of each of the brands.
The two top-selling PC games are Call of Duty: Black Ops 2 and Madden NFL 13. A price for Call of Duty: Black Ops 2 is $13 more than a price for Madden NFL 13. If the total of these two prices is $47, find the price of each game.
By air, the distance from Melbourne, Australia, to Cairo, Egypt, is 2338 miles more than the distance from Madrid, Spain, to Bangkok, Thailand. If the total of these distances is 15,012 miles, find the distance from Madrid to Bangkok.
A National Hot Rod Association (NHRA) top fuel dragster has a top speed of 95 mph faster than an Indy Racing League car. If the top speed for these two cars combined is 565 mph, find the top speed of each car.
California contains the largest state population of native Americans. This population is three times the native American population of Washington state. If the total of these two populations is 412 thousand, find the native American population in each of these two states.
A Toyota Camry is traveling twice as fast as a Dodge truck. If their combined speed is 105 miles per hour, find the speed of the car and find the speed of the truck.
A tractor and a plow attachment are worth $1200. The tractor is worth seven times as much money as the plow. Find the value of the tractor and the value of the plow.
During the 2013 Men's NCAA Division I basketball championship game, the Michigan Wolverines scored 6 points fewer than the Louisville Cardinals. Together, both teams scored 158 points. How many points did the 2013 Champion Louisville Cardinals score during the game?
The total number of personal computers in use for Italy and Russia is 98,240 thousand. If Russia has 8800 thousand more computers than Italy, find the number of computers for each country.
Round each number to the given place value. See Section 1.4. 1. 82 to the nearest ten 2. 52,333 to the nearest thousand 3. 101,552 to the nearest hundred
Solve Exercise 25 again, but this time let x be the number of electoral votes for Florida. Did you get the same results? Explain why or why not.
In real estate, a house's selling price P is found by adding the real estate agent's commission C to the amount A that the seller of the house receives: P = A + C. A homeowner plans to use a real estate agent to sell his house. He hopes to sell the house for $165,000 and keep $156,750 of that. If
In retailing, the retail price P of an item can be computed using the equation P = C + M, where C is the wholesale cost of the item and M is the amount of markup. Slidell Feed and Seed sells a bag of cat food for $12. If the store paid $7 for the cat food, what is the markup on the cat food?
Find the perimeter of each figure.1.2.
Find the area of each figure.1.2.
Translate each phrase into an algebraic expression. Let x represent "a number." 1. The product of -5 and a number 2. Three subtracted from a number 3. The sum of -5 and a number 4. The quotient of -2 and a number
Translate each phrase into an algebraic expression. Let x represent "a number." 1. The product of -5 and a number, decreased by 50 2. Eleven added to twice a number 3. The quotient of 70 and the sum of a number and 6 4. Twice the difference of a number and 13
Write each sentence as an equation. 1. The difference of 20 and -8 is 28. 2. Nineteen subtracted from -2 amounts to -21. 3. The quotient of -75 and the sum of 5 and 20 is equal to -3. 4. Five times the sum of 2 and -6 yields -20.
Write each sentence as an equation using x as the variable. 1. Twice a number minus 8 is 40. 2. The product of a number and 6 is equal to the sum of the number and 20. 3. Twelve subtracted from the quotient of a number and 2 is 10. 4. The difference of a number and 3 is the quotient of 8 and 4.
1. Five times a number subtracted from 40 is the same as three times the number. Find the number. 2. The product of a number and 3 is twice the difference of that number and 8. Find the number. 3. In an election, the incumbent received 14,000 votes of the 18,500 votes cast. Of the remaining votes,
1. Three times a number added to twelve is 27. Find the number. 2. Twice the sum of a number and four is ten. Find the number. 3. Out of the 50 states, Hawaii has the least number of roadway miles, followed by Delaware. If Delaware has 1931 more roadway miles than Hawaii and the total number of
1. Round the mixed number 511 / 12 to the nearest whole number.2. The Public Broadcasting Service (PBS) provides programming to the noncommercial public TV stations of the United States. The bar graph shows a breakdown of the public television licensees by type. Each licensee operates one or more
Write a proper or improper fraction to represent the shaded part of each diagram. If an improper fraction is appropriate, write the shaded part of the diagram as(a) An improper fraction and(b) A mixed number. (Note to students: In case you know how to simplify fractions, none of the fractions in $Write a proper or improper fraction to represent the shaded$ $Write a proper or improper fraction to represent the shaded$
Write each fraction1. Of the 63 employees at a new biomedical engineering firm, 22 are men. What fraction of the employees are men?2. Use Exercise 34 to answer a and b.a. How many of the employees are women?b. What fraction of the employees are women?3. Of the eight planets in our solar system,
1. In a sports team with 20 children, there are 9 boys and 11 girls. What fraction of the team is boys? 2. Consumer fireworks are legal in 44 out of the 50 total states in the United States. a. In what fraction of the states are consumer fireworks legal? b. In how many states are consumer fireworks
Graph each fraction on a number line.1. 1 / 32. 5 / 63. 9 / 84. 13 / 7 $Graph each fraction on a number line. See Examples 12$
Write a proper or improper fraction to represent the shaded part of each diagram. If an improper fraction is appropriate, write the shaded part of the diagram as(a) An improper fraction and(b) A mixed number. (Note to students: In case you know how to simplify fractions, none of the fractions in $Write a proper or improper fraction to represent the shaded$
List the numbers that are divisible by both 3 and 5.
Solve. Write each fraction in simplest form. 1. Two thousand baseball caps were sold one year at the U.S. Open Golf Tournament. What fractional part of this total do 200 caps represent? 2. There are 100 centimeters in 1 meter. What fraction of a meter is 20 centimeters? 3. There are 75 national
1. There are 35 students in a biology class. If 10 students made an A on the first test, what fraction of the students made an A? 2. Katy Biagini just bought a brand-new 2013 Toyota Camry hybrid for $24,200. Her old car was traded in for $12,000. a. How much of her purchase price was not covered by
1. What fraction of blood donors have an O blood type?2. What fraction of blood donors have a B blood type?
Find the prime factorization of the follwoing number. 131,625
The following graph is called a circle graph or pie chart. Each sector (shaped like a piece of pie) shows the fraction of entering college freshmen who choose to major in each discipline shown. The whole circle represents the entire class of college freshmen. Use this graph to answer following
Use this circle graph to answer Exercises 97 through 100. Write each fraction answer in simplest form.1. What fraction of National Park Service areas are National Parks?
The following graph is called a circle graph or pie chart. Each sector (shaped like a piece of pie) shows the fractional part of a car's total mileage that falls into a particular category. The whole circle represents a car's total mileage.1. Shopping 2. Medical
1. In 2012, there were approximately 11,430 commercial radio stations broadcasting in the United States. Of these, approximately 9 / 51 were country stations. How many radio stations were country stations in 2012? (Round to the nearest whole.) 2. If 3 / 4 of 36 students on a first bus are girls and
A patient was told that, at most,1/5of his calories should come from fat. If his diet consists of 3000 calories a day, find the maximum number of calories that can come from fat.
In a recent year, movie theater owners received a total of $7660 million in movie admission tickets. About 7 / 10 of this amount was for R-rated movies. Find the amount of money received from R-rated movies
Each turn of a screw sinks it 3 / 16 of an inch deeper into a piece of wood. Find how deep the screw is after 8 turns.
The diameter of a circle is twice its radius, as shown in the Exercise 91 illustration. If the radius of a circle is 7/20 of a foot, what is its diameter?
A family recently sold their house for $102,000, but 3 / 50of this amount goes to the real estate companies that helped them sell their house. How much money does the family pay to the real estate companies?
There have been about 410 contestants on the reality television show Survivor over 27 seasons. Some of these contestants have appeared in multiple seasons. If the number of repeat contestants 6 / 41 is of the total number of participants in the first 27 seasons, how many contestants have
Find the area of each rectangle. Recall that area = length # width.
Find the perimeter of each figure. (Hint: Recall that perimeter means distance around.) See Example 10.1.2.
Solve. For following Exercises, the solutions have been started for you. Write each answer in simplest form. See Example 11. Scott Davis has run 11 / 8 miles already and plans to complete 16 / 8 miles. To do this, how much farther must he run?
When people take aspirin, 31/50 of the time it is used to treat some type of pain. Approximately 7 / 50 of all aspirin use is for treating headaches. What fraction of aspirin use is for treating pain other than headaches?
Find the fractional part of the world€™s land area within the continents of North America and South America.The map of the world below shows the fraction of the world's surface land area taken up by each continent. In other words, the continent of Africa, for example, makes up 20/100 of
The map of the world below shows the fraction of the world's surface land area taken up by each continent. In other words, the continent of Africa, for example, makes up 20/100 of the land in the world. Use this map to solve following Exercises Write answers in simplest form.1. Find the fractional
The table below shows the fraction of goods sold online by type of goods in a particular year. Use this table to answer below Exercises.1. Which of these types of goods has the largest fraction sold online?2. Which of the types of goods has more than 3 / 5 of the goods sold online? (Hint: Write 3 /
1. In your own words, explain how to subtract like fractions. 2. Mike Cannon jogged 3/8 of a mile from home and then rested. Then he continued jogging farther from home for another 3/8 of a mile until he discovered his watch had fallen off. He walked back along the same path for 4/8 of a mile until
Write each fraction as an equivalent fraction with the indicated denominator. 1. 108 / 215y = / 4085y 2. In your own words, explain how to write a fraction as an equivalent fraction with a given denominator. 3. True or false? When the fraction 7/12 is rewritten with a denominator of 48, the result
Find the perimeter of each geometric figure. (Hint: Recall that perimeter means distance around.)1.2.
each phrase into an algebraic expression. Use "x" to represent "a number." 1. A number increased by -2/52. The difference of a number and 7/20
For following Exercises, the solutions have been started for you. bees have been known to chase people for up to1/4 of a mile, while domestic European honeybees will normally chase a person for no more than 100 feet, or 5/264 of a mile. How much farther will a killer bee chase a person than a
Find the inner diameter of the tubing.
1. In the 2012 FIA Formula One World Championship, the Red Bull Racing-Renault team won7/20 of all races. If the Red Bull driver Sebastian Vettel won 1/4 of the races, how many did Red Bull driver Mark Webber win?2. Given the following diagram, find its total width.
The table below shows the fraction of the Earth's water area taken up by each ocean. Use this table for following Exercises.What fraction of the world's water surface area is accounted for by the Arctic and Indian Oceans?
Use this circle graph to answer following Exercises.1. What fraction of areas maintained by the National Park Service are designated as National Recreation Areas? 2. What fraction of areas maintained by the National Park Service are NOT National Parkways r Scenic Trails?
Answer true or false for each statement 1. It is possible for the average of two numbers to be less than both numbers. 2. The sum of a negative fraction and a positive fraction is always a positive number. 3. It is possible for the difference of two fractions to be a whole number
Solve. See the second Concept Check in this section.1. A student asked you to check his work below. Is it correct? If not, where is the error?2. In your own words, explain how to multiply a. fractions b. mixed numbers
Solve. See the third Concept Check in this section.1. Use rounding to estimate the best sum fora. 2 b. 3 c. 20 d. 21
Graph each list of numbers on the given number line. See Example 1.1.2.
Translate each phrase into an algebraic expression. Use x to represent "a number." 1. The sum of 8 3/4 and a number2. Divide a number by -6 1/11.
Solve. For following Exercises, the solutions have been started for you. Write each answer in simplest form. 1. A local restaurant is selling hamburgers from a booth on Memorial Day. A total of 27 3/4 pounds of hamburger have been ordered. How many quarterpound hamburgers can this make?2. The
For following Exercises, find the area of each figure.1.2. The Saltalamachios are planning to build a deck that measures 4 1/2 yards by 6 1/3 yards. Find the area of their proposed deck.
For following Exercises, find the perimeter of each figure.1.2. A trim carpenter cuts a board 3 3/8 feet long from one 6 feet long. How long is the remaining piece? 3. The perimeter of the square below is 23 1/2 feet. Find the length of each side.
The following table lists three upcoming total eclipses of the Sun that will be visible in North America. The duration of each eclipse is listed in the table. Use the table to answer below Exercises.1. What is the total duration for the two eclipses occurring in odd-numbered years? 2. How much
Round each number to the given place value. See Section 1.4. 1. 576 to the nearest hundred 2. 2333 to the nearest ten
1. Think about which exercise (part a or part b)may be completed by multiplying by 6. Now complete each exercise.a. Solve: x/6 - 5/3 = 2b. Subtract: x/6 - 5/32. 19/53 = 353x / 1431 + 23/273. The area of the rectangle is 5/12 square inch. Find its length, x.
Write a fraction to represent the shaded area. If the fraction is improper, write the shaded area as a mixed number also. Do not simplify these answers.1.2. 3. 4. $Write a fraction to represent the shaded area. If the$ $Write a fraction to represent the shaded area. If the$
1. A ribbon 5 1/2 yards long is cut from a reel of ribbon with 50 yards on it. Find the length of the piece remaining on the reel.2. A slab of natural granite is purchased and a rectangle with length 7 4/11 feet and width 5 1/2 feet is cut from it. Find the area of the rectangle.
Find the area of each figure.1.2.
A basketball player made 11 free throws out of 12 tries during a game. What fraction of free throws did the player make?6. A new car lot contains 23 blue cars out of a total of 131 cars.a. How many cars on the lot are not blue?b. What fraction of cars on the lot are not blue?
1. One evening Mark Alorenzo did 3/8 of his homework before supper, another 2/8 of it while his children did their homework, and 1/ 8 after his children went to bed. What part of his homework did he do that evening?2. The Simpsons will be fencing in their land, which is in the shape of a rectangle.
Find the perimeter of each figure1.2.
1. 75. In a group of 100 blood donors, typically 9/25 have type A Rh-positive blood and 3/50 have type A Rh-negative blood. What fraction have type A blood?2. Find the difference in length of two scarves if one scarf is 5/12 of a yard long and the other is 2 /3 of a yard long.
1. A truck traveled 341 miles on 15 1/2 gallons of gas. How many miles might we expect the truck to travel on 1 gallon of gas? 2. There are 7 1/3 grams of fat in each ounce of hamburger. How many grams of fat are in a 5-ounce hamburger patty?
Find the unknown measurements1.2.
Write these numbers from smallest to largest. 1. 0.01 0.0839 0.09 0.1 2. In 2012, there were 1392.2 million singles downloaded at an average price of $1.20 each. Find an estimate of the total revenue from downloaded singles by answering parts a-c. a. Round 1392.2 million to the nearest ten
Write each decimal number in words1. 410.32. The English Channel Tunnel is a 31.04 miles long undersea rail tunnel connecting England and France.3. Your part of the monthly apartment rent, which is $213.70. You pay this to Amanda Dupre. 4. Your grocery bill of $387.49 at Kroger.
Write each decimal number in words. 1. 9.57 2. 47.65 3. -0.495 4. 233.056 5. 5000.02
Write each decimal number in standard form 1. Five and one tenth 2. Twelve and six hundredths 3. Negative eight hundred four and three hundred ninety-nine thousands 4. Eighty - three ten- thousandths
Round each decimal to the given place value. 1. 0.64, nearest tenth 2. 68,934.543, nearest ten 3. -0.892, nearest hundredth 4. 63.4523, nearest thousandth
Recall that the number p, written as a decimal, neither ends nor repeats in a pattern. Given that π ≈ 3.14159265, round p to the given place values below. 1. Ones 2. Hundred-thousandth
Round each monetary amount to the nearest cent or dollar as indicated. 1. $14,769.52, to the nearest dollar 2. $0.7633, to the nearest cent
A large tropical cockroach of the family Dictyoptera is the fastest-moving insect. This insect was clocked at a speed of 3.36 miles per hour. Round this number to the nearest tenth.
Round each number to the given place valueThe population density of the state of Utah is 34.745 people per square mile. Round this population density to the nearest tenth.
Round each number to the given place value A used office desk is advertised at $19.95 by Drawley's Office Furniture. Round this price to the nearest dollar.
Round each number to the given place value The length of a day on Mars, a full rotation about its axis, is 24.6229 hours. Round this figure to the nearest thousandth.
146.059 rounded to the nearest ten is a. 146.0 b. 146.1 c. 140 d. 150
1. 146.059 rounded to the nearest tenth is a. 146.0 b. 146.1 c. 140 d. 150
1. Write 17 268/1000 as a decimal. 2. write 0.00026849576 in works. 3. which number (s) rounds to 0.06? 0.0612 0.066 0.0586 0.0506
For following Exercises, write the value of each group of coins. To do so, it is usually easiest to start with the coin(s) of greatest value and end with the coin(s) of least value1.2. Name the different ways that coin(s) can have a value of $0.25 given that there are no pennies. 3. Laser beams can
Determine whether the given values are solutions to the given equations. 1. Is 3.7 a solution to x + 5.9 = 8.6? 2. Is -22.9 a solution to 45.9 + ɀ = 23? 3. Is 0.9 a solution to 1.9 - x = x + 0.1?
Simplify by combining like terms 1. 14.2ɀ + 11.9 - 9.6ɀ - 15.2 2. -8.96x - 2.31 -4.08x + 9.68
1. Phillip Guillot bought a car part for $18.26. If he paid with two $10 bills, what was his change? 2. A pair of eyeglasses costs a total of $347.89. The frames of the glasses are $97.23. How much do the lenses of the eyeglasses cost?
1. Find the perimeter.2. The Google Nexus 4, released in 2012, is the newest Google phone (at this writing). It measures 5.27 inches by 2.7 inches. Find the perimeter of the phone. 3. The average annual rainfall in Omaha, Nebraska, is 30.08 inches. The average annual rainfall in New Orleans,

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