Basic Math Questions and Answers

The repair bill, y, of a car is proportional to x the number of labor hours. The constant of proportionality is 42.50. Which will check that y is proportional tox? Graphy 42.50x and check that the graph is a straight line that goes through (0,0) Graph 42.50 y and check that the graph is a straight line that goes through (0,0) Graph y 42 50 x and check that the graph is a straight line that goes through (1, 0) Graph y 42.50 x and check that the graph is a straight line that goes through (140)

There are 17 books on a shelf. 8 of these books are new. The rest of them are used. (a) What is the ratio of used books to all books on the shelf? (b) What is the ratio of used books to new books?

Raymond can paint 5/8 of a wall in 16 minutes. How long would it take him to paint 1/3 of a wall? Simplify your answer completely.

Last year, Miguel had $10,000 to invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that paid 8% simple interest per year. After one year, he received a total of $840 in interest. How much did he invest in each account?

What is the correct first step to solve this system of equations? 4x - 3y = -10 2x + 3y = 4 Add the 2 equations together Subtract the 2 equations Multiply the 2 equations by 3 Divide the first equation by 4

You buy 100 file folders for $7.72. How much are you paying for each file folder? A. $0.06 B. $0.13 C. $12.95 D. $0.08

There are 1.5 mg of iron in 8 ounces of apple juice. If 18 mg are recommended for the RDA for iron, the number of ounces that contain the RDA is a. 27 ounces b. 64 ounces c. 96 ounces d. 144 ounces

You want to buy a stuffing mix. There are three brands of stuffing mix available. (You have a 10¢ off coupon for Cook Top Stuffing mix.) Cook Top Stuffing Mix 6 oz. for $1.49 or 12 oz. for $2.99 Saltridge Farms Stuffing Mix 6 oz. for $1.79 Cousin Ben's Stuffing Mix 6 oz. for $1.29 The brand that is the best buy is a. Cook Top 6 oz. b. Cook Top 12 oz. c. Saltridge Farms 6 oz. d. Cousin Ben's 6 oz.

You buy 6 lbs. of apples for $7.20. How many lbs. of apples would you have been able to buy with $1.00? A. 1.2 lbs. C. $0.83 B. 0.83 lbs. D. $1.20

A loan of $40,000 is made at 8% Interest, compounded annually. After how many years will the amount due reach $110,000 or more? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.

Is the density of a gaseous substance likely to be larger or smaller than the density of a liquid or solid substance at the same temperature? Why? Smaller, because gases are mostly empty space. Larger, because solids and liquids have larger particles. Smaller, because gas particles have less mass. Larger, because gases take up more space.

Mary is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 15 feet and its width is 13 feet. Suppose each bag of fertilizer covers 39 square feet. How many bags will she need to cover the garden?

the following is most likely the next step in the series? a11 A12, b21, B22, c31, C32 A. d33 B. C33 C. D41 D. d41 E c33 F. D33

A motorboat takes 4 hours to travel 128 miles going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

If six oranges cost $5.20, what would be the price of one orange? (Round to the nearest cent.) A. $0.15 C. $8.67 B. $0.87 D. $1.15

If you need 2 cups of zucchini for a recipe that feeds 12 people, you will need cups of zucchini to feed 15 people with the same recipe.

Which of the following is/are signified by lim x→af(x) = ∞? This means that f(a) = ∞ The value of f(x) becomes infinite when x approaches a. The value of a goes out to infinity, when it gets close to a. The limit exists and equals infinity. As a approaches a, the value of f(x) increases without bound.

Find the direction angle of the vector w=5i-3j. That Is, find the angle between 0° and 360° that w makes with the positive x-axis (measured counterclockwise), when w is in standard position. Do not round any intermediate computations, and round your answer to the nearest whole number.

A jet travels 3870 miles against the wind in 6 hours and 4710 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind? Rate of the jet in still air: Rate of the wind:

The mass of a carbon atom is 1.994 x 10-23 grams. The mass of a hydrogen atom is 1.67 x 10-24 grams. What is the difference of their masses? A.0.324 x 10-24 grams B.1.827 x 10-23 grams C.1.827 x 10-24 grams D.0.324 x 10-23 grams

Which of the following actions provides you the best protection from a crime-related injury? Locking your car doors and staying in your car when your car breaks down. Hitchhiking your way home after your car breaks down. Intervening in a knife fight between two acquaintances. Refusing to give up your possessions to a person trying to rob you.

Gas mileage is the number of miles you can drive on a a gallon of gasoline. A test of a new car results in 370 miles on 20 gallons of gas. How far could you drive on 75 gallons of gas? What is the car's gas mileage?

In the past month, Laura rented 4 video games and 6 DVDs. The rental price for each video game was $2.10. The rental price for each DVD was $3.80. What is the total amount that Laura spent on video game and DVD rentals in the past month?

Which statement best describes the difference between modality and format? The format used depends on the type of presentation, whereas the modality gives the purpose. The format is the way information should be processed by the five senses, whereas the modality is the way the information is organized. The modality used depends on the type of presentation, whereas the format gives the purpose. The modality is the way information is designed to be processed by the five senses, whereas the format is the way information is organized.

The volume of a right circular cone is 367 units³. If the height of the cone is 12 units, what is the radius of the cone? 9 units 1 unit 3 units √3 units

How does paragraph 5 contribute to the development of the story? A It shows Ivan was trying to be brave. B It shows why the men make fun of Ivan. C It shows that Ivan does not care what the men think. D It shows that Ivan will not complete the lieutenant's challenge.

ΔCRV has side lengths that measure 10 centimeters, 12 centimeters, and 15 centimeters. Which of the following best describes this type of triangle? A. Scalene triangle B. Obtuse triangle C. Isosceles triangle D. Equilateral triangle

A blologist has a 3218-gram sample of a radioactive substance. Find the mass of the sample after six hours if it decreases according to a continuous exponential decay model, at a relative rate of 15% per hour. Do not round any intermediate computations, and round your answer to the nearest tenth.

An animal breathes approximately 30 times per minute. Part A: About how many seconds would it take to breathe one million times? Part B: How many minutes would it take to breathe one million times? Part C: How many hours would it take to breathe one million times? Part D: How many days would it take to breathe one million times? Part E: How many years would it take to breathe one million times? Part A: It would take seconds to breathe one million times. (Round to the nearest second as needed.)

A principal of $1600 is invested at 8.75% interest, compounded annually. How many years will it take to accumulate $5000 or more in the account? (Use the calculator provided if necessary.) Write the smallest possible whole number answer. years

What is the volume of a sphere with a radius of 41.8 in, rounded to the nearest tenth of a cubic inch?

Find the direction angle of the vector w=8i-4j. That is, find the angle between 0° and 360° that w makes with the positive x-axis (measured counterclockwise), when w is in standard position. Do not round any intermediate computations, and round your answer to the nearest whole number.

Solve, using a proportion. If 13 candy bars weigh 26 ounces, then 35 candy bars weigh ounces.

Mary starts dong yard work at 4:30 P.M. She spends 1 hour and 25 minutes 2 points mowing the grass and 55 minutes pulling weeds. At what time does she finish her yard work? How much time does she spend on yard work? *

Jerome has exemptions of $7,500 for dependents. His deductions include $2,400 in allowable medical expenses, and $450 for damage to his home caused by a hailstorm. Jerome's taxable income if he has an income of $47,900 is a. $10,350 b. $37,550 c. $40,400 d. $58,250

Monica's checkbook register balance is $456.98. She has written checks in the amounts of $10.00, $14.95, $6.07, and $109.10. She has made a deposit of $30.00. Her new checkbook balance is a. $104.05 b. $170.05 c. $316.86 d. $346.86

The length of a rectangular box is 2 times its height, and its width is 3 in more than its height. The volume of the box is 130 in calculator to find the height of the box. Round your answer to two decimal places.

A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each, and the laptops cost $439.00 each. If the math department has $6500 to spend and purchases 30 textbooks, how many laptops can they buy? 1) 6 2) 7 3) 11 4) 12

When using substitution to solve this system of equations, what is the result of the first step? x = 6y + 3 x + 2y = 5 A. x + 2(6x + 3) = 5 B. x + 2(6y + 3) = 5 C. 6y +3+ 2y = 5 D. 6x + 3 + 2y = 5

5 lbs. of organic red potatoes cost $6.00. What is the price per lb.? A. $0.83 B. $1.20 C. $0.91 D. $1.00

Solve, using a proportion. If there are 75 pepperoni on 5 large pizzas, how many pepperoni are there on 3 large pizzas? pepperoni

Suppose that you are headed toward a plateau 37.8 meters high. If the angle of elevation to the top of the plateau is 24.5°, how far are you from the base of the plateau? What is your distance from the base of the plateau? ___meters (Round to one decimal place as needed.)

A farmer has a house at the point (0, 0). He has a corn field that can be found by driving 2 units left, 2 units up, and 4 units right. If he instead walks diagonally to his corn field, how far has he gone? Round to 2 decimal places.

A surveyor measures the length of a surveying chain containing 1000 chain links. The length is 0.052 km. What is the length of a single chain link in centimeters? Write your answer as a decimal.

Vera needs repairs on her car. The mechanic's estimate says that he will provide 7.3 hours of labor. His rate is $55 per hour. The total cost of the labor will be a. $165.00 b. $172.00 c. $385.00 d. $401.50

Forrest is purchasing a car priced at $7,299. His down payment is $299 and his monthly payments are $165 per month for 48 months. The deferred cost of the car is a. $7,000 b. $7,299 c. $7,920 d. $8,219

What is the radius of a hemisphere with a volume of 5320 in³, to the nearest tenth of an inch?

Which of the following is a disadvantage to using tables? Check all that apply. A. Graphs are much easier to work with for all problems. B. They organize the data. C. It is often difficult to solve complicated problems with tables alone. D. They force you to do every problem twice, once with a table and once with an equation.

How would you "remove the discontinuity" of f? In other words, how would you define f(3) in order to make f continuous at 3? f(x) =x²-x--6/x - 3 f(3) =