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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Fill in the blanks with an appropriate word, phrase, or symbol(s).The two unit fractions that relate seconds and minutes are __________ and __________ .
Fill in the blanks with an appropriate word, phrase, or symbol(s).Hectares, ha, are a measure of ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The mass of a nickel is about 5 ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A fraction in which the numerator and denominator contain different units, and the value of the fraction is 1, is called a(n)
Fill in the blanks with an appropriate word, phrase, or symbol(s).Cubic meters, m3, are a measure of ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The name of the system of measurement primarily used in the United States today is the U.S. _______ system.
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the metric system the kilogram measures ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A procedure used to convert from one unit of measurement to a different unit of measurement is called __________ analysis.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Millimeters, mm, are a measure of ________.
Convert 2400ℓ to kℓ.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The name commonly used for the Système international d’unités in the United States is the _______ system.
Benjamin's Backpacks can sell backpacks for $25 per backpack. The costs for making the backpacks are a fixed cost of $400 and a production cost of $15 per backpack (see Example 9 for an example of
While on vacation, Tamara is using a ride-share service to visit attractions. The ride-share fees include a pickup fee of $2.40 plus a mileage fee of $1.80 per mile traveled. If Tamara would like to
The graph above and to the right was created with Stat Crunch using data from the Federal Communication Commission website: (www.fcc.gov). The blue dots on the graph show the percentage of all
The graph below was created with Stat Crunch using data from the U. S. Department of Commerce website: (www.commerce.gov). The blue dots on the graph show the percentage of all spending on
Points A, B, and C are three vertices of a parallelogram with sides parallel to the x-axis. Plot the three points. Determine the coordinates of the fourth point, D, to complete the
Solve the equation using the quadratic formula. If the equation has no real solution, so state.x2 - 3x - 2 = 0
The map on page 392 shows the land purchased by the United States from France in 1803 as part of the Louisiana Purchase. Assume the value of the land has grown at a rate of 8% per year since the land
In Exercise, solve the equation by factoring.3x2 = -7x - 2
In 2017, the population of India was about 1.34 billion people, and the population growth rate was about 1.1% per year. Assuming the population of India continues to grow exponentially at this rate,
Alia works in a surf shop. She earns a weekly salary of $475 plus a commission of 15% of her weekly sales total. Alia’s weekly earnings, E, can be represented with the linear equation E = 475 +
In 2017, the population of China was about 1.39 billion people, and the population growth rate was about 0.6% per year. Assuming the population of China continues to grow exponentially at this rate,
Temperatures measured in degrees Celsius, C, can be converted to degrees Fahrenheit, F, using the equation F = 9/5C + 32. Use this formula to convert the following temperatures to degrees
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.5x2 - 4x = -2
The cost of a new car is $30,000. If it depreciates at a rate of 18% per year, the value of the car in t years can be approximated by the function V(t) = 30,000(0.82)t. Determine the value of the car
In Exercise, factor the trinomial.6x2 + 7x - 3
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.4x2 + 6x = -5
In Exercise, factor the trinomial.x2 - 10x + 24
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.4x2 = -7x + 1
In Exercise, factor the trinomial.x2 + 2x - 15
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.3x2 = 9x - 5
In Exercise, factor the trinomial.x2 + 6x + 9
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.3x2 - 10x + 7 = 0
The following graph was created using Stat Crunch with data obtained from AccuWeather.com. The graph indicates the hourly temperature, in degrees Fahrenheit, in Dubuque, Iowa, from 9 a.m. to 5 p.m.
Solve the equation.3(x + 2) + 2(x - 1) = 5x - 7
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.2x2 + 7x + 5 = 0
The graph was created using Stat Crunch with data obtained from AccuWeather.com. The graph indicates the hourly temperature, in degrees Fahrenheit, in Lakewood Ranch, Florida, from 10 a.m. to 6 p.m.
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.3x2 - 7x - 5 = 0
Solve the equation.3.01x - 5.2 = 2.91x + 1.57
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.4x2 - 5x - 3 = 0
Solve the equation.0.2x + 1.3 = 0.4x - 4.5
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.2x2 + 4x + 1 = 0
In Exercise, graph the inequality.2x + 3y ≤ 12
Determine the slope of the line through the given points. If the slope is undefined, so state.(2, 6) and (2, -3)
Solve the equation.5x + 0.050 = -0.732
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.3x2 - 8x + 1 = 0
Solve the equation.0.9x - 1.2 = 2.4
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.2x2 - 5x - 2 = 0
Determine the slope of the line through the given points. If the slope is undefined, so state.(-3, -4) and (5, -4)
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.3x2 + 9x + 5 = 0
Solve the equation.x/4 + 2x = 1/3
Solve the equation.1/2y + 1/3 = 1/4
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.x2 - 2x + 3 = 0
Solve the system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.3x + 4y = 62x - 3y = 4
Solve the equation.1/2 x + 1/3 = 2/3
Solve the system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.3x - 4y = 105x + 3y = 7
Jose’s salary can be modeled by the equation y = 39,000 + 1200t, and Charlie’s salary can be modeled by the equation y = 45,000 + 700t, where t represents the number of years since 2020. The
Solve the system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.4x - 8y = 16x - 2y = 4
Solve the system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.x + y = 2x + 3y = -2
Delbert is choosing between two membership options at the local movie society. A Director membership costs $250 per year, and it costs $3.75 each time Delbert sees a movie. A Producer membership
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.3x + y = 13y = -9x - 4
Graph the equation, using the x- and y-intercepts.2x = -4y - 8
Solve the equation.3x + 2 - 6x = -x - 15 + 8 - 5x
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.2x - y = 43x - y = 2
Solve the equation, using the quadratic formula. If the equation has no real solution, so state.x2 + 2x - 3 = 0
Which of the following inequalities have the same graph?Explain how you determined your answer.a) 2x - y < 8b) -2x + y > -8c) 2x - 4y < 1 6d) y > 2x - 8
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.x - 2y = 9y = 2x - 3
Solve each equation by factoring.15x2 = 16 - 8x
To earn a passing grade in Topology at Old College of Alabama, a student must have a 60% or greater average on 5 tests. Justice currently has grades of 61%, 75%, 57%, and 51%. What range of grades on
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.-x + y = -2x + 2y = 5
Solve the equation.25 = 4x + 5
Solve each equation by factoring.20x2 = 15 - 13x
To earn a grade of A in Philosophy, a student must have a 93% or greater average on four tests. Hyun currently has grades of 87%, 91%, and 98%. What range of grades on the fourth test would earn Hyun
Solve the equation.16 = -3t - 2
Solve each equation by factoring.2x2 = -5x - 3
Solve the equation.-8x = 32
Solve each equation by factoring.3x2 = -5x - 2
To make one pack of allbeef hot dogs, a manufacturer uses 1 lb of beef; to make one pack of regular hot dogs, the manufacturer uses 12 lb each of beef and pork. The profit on the all-beef hot dogs is
Solve the equation.7x = -63
Solve each equation by factoring.2x2 = -5x + 3
Solve the equation.-x/7 = -8
Solve each equation by factoring.3x2 = -5x + 2
A parking garage in Rockford, Illinois, charges $1.75 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of time Tom can park in the garage if he
Solve the equation.x/9 = -5
Some states allow spouses to file individual tax returns (on a single form) even though they have filed a joint federal tax return. It is usually to the taxpayers’ advantage to do so when both
Solve each equation by factoring.2x2 + 15x = 27
Graph the equation by plotting points.y = -2/3x
Solve the equation.y - 4 = 13
Solve each equation by factoring.3x2 + 10x = 8
To be eligible for financial assistance for college, Julie can earn no more than $3200 during her summer employment. She will earn $662.50 cutting lawns. She is also earning $7.25 per hour at an
Solve for the variable indicated.A = P(1 + rt) for r
Graph the equation by plotting points.y = 1/3x
Solve the equation.y + 7 = 9
Solve each equation by factoring.6x2 + 25x + 14 = 0
Determine whether the given value is a solution to the equation.-2(5x + 1) + 3 = 7(4x + 7) + 4, x = -3
Solve each equation by factoring.6x2 + 19x + 15 = 0
Solve for the variable indicated.F = 9/5C + 32 for C
Graph the equation by plotting points.y = 1/2x + 4
Determine whether the given value is a solution to the equation.3(2x - 7) + 1 = -4(3x + 1) + 20, x = 2
Solve each equation by factoring.x2 = 8x - 7

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