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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.On Earth, the weight and mass of an object.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The time required to defrost a frozen hamburger in a room and the temperature of the room.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The number of workers hired to install a fence and the time required to install the fence.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The number of calories eaten and the amount of exercise required to burn off those calories.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The age of a car, up to 8 years old, and the value of a car.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The speed of a runner and the time it takes the runner to complete a 10 kilometer
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The diameter of a hose and the volume of water coming out of the hose.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The interest earned on an investment and the interest rate.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The radius of a balloon and its volume.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The time required to boil water on a burner and the temperature of the burner.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The time required to fill a pool with a hose and the volume of water coming from the hose.
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The distance between two cities on a map and the actual distance between them.
Fill in the blank with an appropriate word, phrase, or symbol(s).In the equation y = kx, k is called the constant of ___________.
Fill in the blank with an appropriate word, phrase, or symbol(s).A variation equation that relates one variable to two or more other variables using the operation of multiplication is called a(n)
Fill in the blank with an appropriate word, phrase, or symbol(s).When one quantity increases while the other quantity decreases, it is an example of ______ variation.
Fill in the blank with an appropriate word, phrase, or symbol(s).When the values of two related variables increase together or decrease together, it is an example of ________ variation.
The relationship between Fahrenheit temperature (F) and Celsius temperature (C) is shown by the formula F = (9/5)C + 32. At what temperature will a Fahrenheit thermometer read the same as a Celsius
A driver education course at the East Lake School of Driving costs $45 but saves those under 25 years of age 10% of their annual insurance premiums until they are 25. Dan has just turned 18, and his
Some states allow a husband and wife 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
A 40-pound bag of topsoil will cover a surface area of 12 ft2.(a) How many pounds of topsoil are needed to cover a surface area of 480 ft2?(b) How many bags of topsoil must be purchased to cover a
How much insulin (in cc) would be given for the following doses?35 units of insulin from a vial marked U40.Use proportions to solve the problem.
How much insulin (in cc) would be given for the following doses?15 units of insulin from a vial marked U40.Use proportions to solve the problem.
A doctor asks a nurse to give a patient 250 milligrams (mg) of the drug simethicone. The drug is available only in a solution whose concentration is 40 mg simethicone per 0.6 milliliter (mℓ) of
When Jacob crossed over from Niagara Falls, New York, to Niagara Falls, Canada, he saw a sign that said 50 miles per hour (mph) is equal to 80 kilometers per hour (kph).(a) How many kilometers per
A recipe for 6 servings of lasagna uses 16 ounces of Italian sausage. (a) If the recipe were to be made for 15 servings, how many ounces of Italian sausage would be needed? (b) How many
Nielsen Media Research estimates the number of people who watch a television show. One rating point means that about 1,700,000 households watched the show. The top-rated television show for the week
A gallon of paint covers 825 ft2. Assuming paint can only be purchased in whole gallons, how many gallons are needed to paint a house with a surface area of 6600 ft2?Use proportions to solve the
The water rate for Charlotte, North Carolina, is $1.33 per 748 gallons of water used.(a) What is the water bill if a resident of Charlotte uses 30,000 gallons?(b) How many gallons of water can a
Malcolm has two options for membership to a golf club. Option A has an annual cost of $3300 for unlimited golf. Option B has an annual cost of $1500 plus $40 for each round of golf. How many rounds
Rachel has been told that with her half-off airfare coupon, her airfare from New York to San Diego will be $257. The $257 includes a 7% tax on the regular fare.On the way to the airport, Rachel
Chuck has 140 ft of fencing in which he wants to fence in two connecting, adjacent square pens with fencing between the two pens (see the figure). What will be the dimensions if the length of the
Jim is building a rectangular deck and wants the length to be 2 ft greater than the width. What will be the dimensions of the deck if the perimeter is to be 52 ft?Set up an equation that can be used
Each year, Andrea donates a total of $1000 for scholarships at Nassau Community College. This ear, she wants the amount she donates for scholarships for liberal arts to be three times the amount she
Marty received an inheritance of $20,000. If he wants to invest three times as much money in stocks as in mutual funds, how much money should Marty invest in mutual funds and in stocks?Set up an
The cost of doing the family laundry for a month at a local laundromat is $80. A new washer and dryer cost a total of $870. How many months would it take for the cost of doing the laundry at the
Ronnie pays 8¢ to make a copy of a page at a copy shop. She is considering purchasing a photocopy machine that is on sale for $250, including tax. How many copies would Ronnie have to make in the
Pier 1 Imports has a sale offering 10% off of all furniture. If Amanda spent $378.99 on furniture before tax, what was the price of the furniture she purchased before the discount and before tax?Set
Tito receives a weekly salary of $400 at Anderson’s Appliances. He also receives a 6% commission on the total dollar amount of all sales he makes. What must his total sales be in a week if he is to
At Action Water Sports of Ocean City, Maryland, the cost of renting a Jet Ski is $42 per half hour, which includes a 5% sales tax. Determine the cost of a half hour Jet Ski rental before tax.Set up
When sales representatives for PT Pharmaceuticals drive to out-of-town meetings that require an overnight stay, they receive $150 for lodging plus $0.50 per mile driven. How many miles did Joe drive
Write an equation and solve.Three times the difference of a number and 4 is 6 more than the number.
Write an equation and solve.A number increased by 10 is 2 times the sum of the number and 3.
Write an equation and solve.A number divided by 4 is 12 less than the number.
Write an equation and solve.A number increased by 6 is 3 less than twice the number.
Write an equation and solve.Eight less than 3 times a number is 6 times the number, increased by 10.
Write an equation and solve.Twelve more than 4 times a number is 32.
Write an equation and solve.Fourteen increased by 6 times a number is 32.
Write an equation and solve.Ten less than four times a number is 42.
Write an equation and solve.A number divided by 4 is 6.
Write an equation and solve.The sum of a number and 3 is 10.
Write an equation and solve.A number increased by 8 is 12.
Write an equation and solve.5 less than a number is 20.
Write the phrase as a mathematical expression.The quotient of 8 and y, decreased by 3 times x.
Write the phrase as a mathematical expression.Three times the sum of a number and 7.
Write the phrase as a mathematical expression.The sum of 8 and t, divided by 2.
Write the phrase as a mathematical expression.12 decreased by s, divided by 4.
Write the phrase as a mathematical expression.8, increased by 5 times x.
Write the phrase as a mathematical expression.6 more than 4 times x.
Write the phrase as a mathematical expression.5 less than twice a number.
Write the phrase as a mathematical expression.The product of 8 and w, increased by 9.
Write the phrase as a mathematical expression.7 times x, increased by 4.
Write the phrase as a mathematical expression.6, decreased by 4 times y.
Write the phrase as a mathematical expression.8 less than y
Write the phrase as a mathematical expression.3 more than x
Write the mathematical expression as a phrase.3x + 5
Write the mathematical expression as a phrase.2x - 3
Write the mathematical expression as a phrase.x - 2
Write the mathematical expression as a phrase. x + 5
Fill in the blank with an appropriate word, phrase, or symbol(s).A statement of equality between two ratios is called a(n) ___________.
Fill in the blank with an appropriate word, phrase, or symbol(s).A quotient of two quantities is call a(n) _______.
Determine the volume of the block shown in Fig. 6.2, excluding the hole. The formula for the volume of a rectangular solid is V = lwh. The formula for the volume of a cylinder is V =
A person’s body mass index (BMI) is found by the formula B = 703w/h2, where w is the person’s weight, in pounds, and h is the person’s height, in inches. John is 6 ft tall and weighs 200 lb.(a)
An ice-cream cone is filled with ice cream to the top of the cone. Determine the volume, in cubic inches, of ice cream in the cone if the cone€™s radius is 1.5 in. and the height is 7 in.
Jeff borrowed $800 from his brother for 2 years. At the end of 2 years, Jeff repaid the $800 plus $128 in interest. What simple interest rate did Jeff pay?When appropriate, round answers to the
Christine borrowed $5200 from a bank at a simple interest rate of 2.5% (or 0.025) for one year.(a) Determine how much interest Christine paid at the end of 1 year.(b) Determine the total amount
A family is planning to drive 403 miles from their home in Richmond, Virginia, to the Great Smoky Mountains National Park. If they drive at an average speed of 62 miles per hour, how long will their
Solve for the variable indicated.A = P(1 + rt) for t
Solve for the variable indicated.S = πr2 + πrs for s
Solve for the variable indicated.C = 5/9(F - 32) for F
Solve for the variable indicated.F = (9/5)C + 32 for C
Solve for the variable indicated.L = (c + 2d)/4 for d
Solve for the variable indicated.P = 2l + 2w for w
Solve for the variable indicated.y = mx + b for x
Solve for the variable indicated.y = mx + b for b
Solve for the variable indicated.V = (1/3) πr2h for h
Solve for the variable indicated.V = πr2h for h
Solve for the variable indicated.C = 2πr for r
Solve for the variable indicated.A = (1/2)bh for b
Solve for the variable indicated.p = a + b + s1 + s2 for s1
Solve for the variable indicated.p = a + b + c for a
Solve for the variable indicated.V = lwh for w
Solve for the variable indicated.d = rt for r
Solve the equation for y.10x - 3y = 0
Solve the equation for y.2x - 3y + 6 = 0
Solve the equation for y.-9x + 4y = 11
Solve the equation for y.8x + 7y = 21
Solve the equation for y.4x - 2y = 10
Solve the equation for y.6x + 3y = 9
Use the formula to determine the value of the indicated variable for the values given. Use a calculator when one is needed. When necessary, use the π key on your calculator and round answers to the
Use the formula to determine the value of the indicated variable for the values given. Use a calculator when one is needed. When necessary, use the π key on your calculator and round answers to the

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