Basic Math Questions and Answers

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) =

A new Youth Sports Center is being built in Hadleyville. The perimeter of the rectangular playing field is 320 yards. The length of the field is 8 yards less than double the width. What are the dimensions of the playing field?

Ellen is purchasing a used car. She is paying $89 down plus $128.57 per month for 36 months. The total amount paid for the car financed in this manner is a. $1,424.54 b. $4,628.52 c. $4,717.52 d. $7,832.52

(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 3 8 8 6 1 9 8 7 9 6 9 5 1 6 2 9 8 7 7 9 (a) Min = 1 (Simplify your answer.)

Solve the equation for exact solutions over the interval [0, 21). 7 cos²x+14 cos x + 7 = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an exact answer, using as needed. Type your answer in radians. Use integers or fractions for any numbers in the express Use a comma to separate answers as needed.) B. The solution is the empty set.

A ball is thrown upward, with an initial velocity of 30 meters per second, at an angle of 61° with respect to the horizontal. The ball is thrown from a height of 6 meters off the ground. The horizontal distance x from the starting point and the height y above the ground of the ball / seconds after it is thrown are given by the parametric equations below. x=(vocosθ) t y=-4.9t² + (vosinθ)t + h Here vo is the initial velocity, 8 is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. (a) How long is the ball in the air before it first touches the ground? Do not round any intermediate computations. Round your answer to the nearest hundredth. seconds (b) What is the horizontal distance that the ball travels before it first touches the ground? Round your answer to the nearest whole number. meters

Rewrite this measurement with a simpler unit, if possible. 3.6 m² m Note: If you can simplify the unit at all, it may be possible to make more than one simplification. Be sure your final answer uses the simplest possible u

There are 5 roses in a vase of 13 flowers. The rest are dalsies. (a) What is the ratio of dalsles to roses? (b) What is the ratio of daisies to all flowers in the vase?

If pencils cost $2.40 for twelve, What is the unit price per pencil? A. $0.20 C. $0.05 B. $5.00 D. $2.00

The base of a 10-foot ladder is 4 feet from a building. If the ladder reaches the flat roof, how tall is the building? The height of the building is

David made $40,000 in taxable income last year. Suppose the income tax rate is 10% for the first $7500 plus 16% for the amount over $7500. How much inust David pay in income tax for last year?

When writing a check for $3,476.89, the words that should be written out are a. Three thousand b. Three thousand four hundred c. Three thousand, four hundred seventy-six dollars d. Three thousand, four hundred seventy-six dollars and eighty-nine cents

A student sets up and solves the following equation to solve a problem in solution stoichiometry. Fill in the missing part of the student's equation. (0.46__)( 1 mL/10^-3 L)( 1.36 g/mL)(1kg/10^3 g) = 0.63 kg

The temperature T (d) in degrees Fahrenheit in terms of the Celsius temperature d is given by T (d)= 9/5d+32. The temperature C (v) in degrees Celsius in terms of the Kelvin temperature v is given by C (v)=v-273. Write a formula for the temperature F (v) in degrees Fahrenheit in terms of the Kelvin temperature v. It is not necessary to simplify. F (v) = 0

Alexa randomly withdraws a card from a well shuffled standard deck of cards. What is the probability that the number on the card is a King or Queen? 1/13 11/13 2/13

A chemistry student needs 30.0 mL of chloroform for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of chloroform is 1.48 g/cm3 . Calculate the mass of chloroform the student should weigh out. Be sure your answer has the correct number of significant digits.

Find the solution to the system by the substitution method. Check your answer. -x+3y = -27 3x - y = 33 The solution is. (Type an ordered pair.)

An employment agency specializing in temporary construction help pays heavy equipment operators $125 per day and general laborers $83 per day. If thirty people were hired and the payroll was $3624, how many heavy equipment operators were employed? How many laborers? The number of heavy equipment operators hired was The number of general laborers hired was

Use the remainder theorem to find P (3) for P(x)=2x-5x³+2x-3. Specifically, give the quotient and the remainder for the associated division and the value of P (3). Quotient = Remainder = P (3) =

Solve, using a proportion. If a 6-lb. turkey takes 120 minutes to cook, how long would a 9-lb. turkey take to cook?