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mathematics
calculus

Questions and Answers of Calculus

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
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
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
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
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
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
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
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
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
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
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
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
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
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,
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
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
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
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
Graph each fraction on a number line.1. 1 / 32. 5 / 63. 9 / 84. 13 / 7
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
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
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
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
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
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.
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
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
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
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
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
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
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
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-
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
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
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

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