Basic Math Questions and Answers

Manuel wants to buy new carpet for his living room floor. The floor is in the shape of a rectangle. Its length is 19 feet and its width is 12 feet. Suppose carpet costs $8 for each square foot. How much will carpet cost for the floor?

Let 8 be an angle such that sinθ=-12/13 and tanθ>0. Find the exact values of cot and sec8.

Solve the equation over the interval [0,2π), then support your solutions graphically. 2 cos 2x + 2 cos x = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is. (Use a comma to separate answers as needed. Type exact answers, using as needed.) B. The solution is the empty set.

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 54 square feet of material to build the cube. What is the volume inside the giant sugar cube? *

What is the volume of a sphere with a diameter of 43.5 cm, rounded to the nearest tenth of a cubic centimeter?

When members of the military are in a combat zone, they often eat meals-ready-to-eat (MRES). A typical MRE contains 1,800 calories. If the average soldier eats 3 MREs per day and is deployed for 6 months, approximately how many calories will be consumed by a 44-member platoon of soldiers? The platoon will consume million calories. (Round to the nearest hundredth as needed.)

Use the formula w=θ/t to find the value of the missing variable. θ= radians, t= 5 sec w= radians per sec (Simplify your answer. Type an exact answer, using as needed.)

A student who is driving home for the holidays averages 38 miles per hour. Set up the problem below and calculate how many miles the student would travel if the trip home took 6.70 hours.

A clock is malfunctioning. The minute hand of the clock only moves and indicates correct time every 12 minutes. For instance, the clock indicates 12 pm between 12 pm to 12:11 pm and indicates correct time at 12:12 pm. How many times does the clock indicate correct time between 12:10 pm and 5:35 pm?

Flying against the wind, an airplane travels 7760 kilometers in 8 hours. Flying with the wind, the same plane travels 8470 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?

The tangent line to the graph of function h at the point (-2,-4) passes through the point (1,5). Find h'(-2). h'(-2)=[

If a line of one billion people standing shoulder-to-shoulder stretches 333,181 miles long, what is the average shoulder width, in feet, of the people in the line?

Norman's checking account reconciliation information is as follows: Bank balance $304.79 Checkbook balance $206.19 Unreturned checks $110.17 Unprocessed deposits $12.58 When the account is reconciled, the checkbook balance is a. $206.19 b. $207.20 c. $303.78 d. $304.79

(1) Solve this system using the substitution method: y = 2x-3; y = (1/2)x-4 (2) Solve this application problem using a system of equations: The owner of Jeremy's Garage wants to fill a 55-gallon drum with a 20% winter mixture of antifreeze for is customers. How many gallons of 100% antifreeze should he mix with some 12% antifreeze mixture in order to fill the drum?

Use the formula v= rw to find the value of the missing variable. r = 15 m, w = 3π/5 radians per sec The missing variable is v= m per sec. (Type an exact answer.)

Adam needs to buy a solar blanket for his rectangular pool. The blanket will sit on the surface of the water and keep it warm. If the dimensions of the pool are 15 ft. by 18 ft., how many square feet of water will the solar blanket cover? Your answer should be a number only.

On the blueprint of a house, 28 millimeters represents 6 meters. The actual length of the living room is 9 meters. What is its length on the blueprint? millimeters

Nicole wants to build a circular deck in her yard. If she needs the radius of the deck to be 7 feet, how many square feet of her yard will be covered by the deck? Your answer should be a number only. Use 3.14 for pi. Round your answer to the nearest hundredth.

The ratio of the sides of two similar parallelograms is 2:9. The perimeter of the larger parallelogram is 38.7 cm. The perimeter of the smaller parallelogram is cm.

What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?

A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 5 pounds of jelly beans, the total cost is $15. For 12 pounds of trail mix and 2 pounds of jelly beans, the total cost is $33. Find the cost for each pound of trail mix and each pound of jelly beans. Cost for each pound of trail mix: $ Cost for each pound of jelly beans: $

(a) An angle measures 50°. What is the measure of its complement? (b) An angle measures 47°. What is the measure of its supplement?

The coolest circular rug exists and you just have to have it for your room. If the diameter of the rug is 11 feet, how many square feet of your room floor will it cover?

What is the volume of a sphere with a radius of 3 m, rounded to the nearest tenth of a cubic meter? Answer: m² 3

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 1150 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?

If the assessment rate is 46% and the tax rate is $37.84 per $1,000 of assessed value, the property tax on a house with a market value of $170,000 is a. $2,955.96 b. $4,492.60 c. $9,764.50 d. $78,200.00

If 1/4 of a pound costs $3, how much is 1 pound? $12 $9 $6

There are 9 green apples and 6 red apples in a basket. (a) What is the ratio of red apples to all apples in the basket? (b) What is the ratio of green apples to all apples in the basket?

Bella's score on a spelling test is a function of the number of hours she studies. Which expression represents Bella's score on a spelling test if she studies for 3 hours? A. 3-score B. Score(3) C. 3(score) D. Score + 3

A roast requires 3 hours and 40 minutes in the oven to be cooked. In order to have the roast ready to serve at 6:30 PM, it must be put into the oven at a. 2:00 PM b. 2:10 PM c. 3:30 PM d. 5:50 PM

Brian and Roxanne each want to run for president of their school's student body council. In order to do so, they must collect a certain number of signatures and get a nomination. So far, Brian has 20 signatures, and Roxanne has 22. Brian is collecting signatures at an average rate of 9 per day, whereas Roxanne is averaging 8 signatures every day. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures. How long will that take? How many signatures will they both have?

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: