Basic Math Questions and Answers

According to statistics, a person will devote 36 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 20. Over the lifetime, how many years will the person spend on each of these activities? years watching TV and years sleeping. The person will spend (Type whole numbers.)

A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?

In some country the budget for defense exceeded the budget for education by $621.9 billion. If x represents the budget for education, in billions of dollars, how can the budget for defense be represented? If x represents the budget for education, in billions of dollars, the budget for defense can be represented by. (Use integers or decimals for any numbers in the expression.)

Suppose the average yearly salary of an individual whose final degree is a master's is $35 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a bachelor's is $ thousand and the average yearly salary for an individual whose final degree is a master's is $thousand.

A beach ball is a sphere with a diameter of 10 inches. What is the volume, in cubic inches, of the beach ball? Enter your answer in the space provided. Round your answer to the nearest whole cubic inch.

Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2.18 per movie. Service B charges $33.25 as a subscription fee plus $3.55 per movie. Service B is running a special offer where the first movie is free. Given that Anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per movie to be equal at Service A or Service B? A. 6 B. 0 C. 1 D. 7

Kelly is learning about rational and irrational numbers. What conclusion can she draw about the number. 0.01011011101111011111...? It is irrational because it repeats It is rational because it repeats It is rational because it terminates It is irrational because it neither repeats nor terminates.

Right now, Mrs. Sarro's age is 2 years more than 5 times her daughter's age. Two years ago, she was seven times as old as her daughter was then. If s represents Mrs. Sarro's age now and drepresents her daughter's age now, write a system of equations that could be used to model this scenario. Use this system of equations to determine, algebraically, the ages of both Mrs. Sarro and her daughter now. Determine how many years from now Mrs. Sarro will be three times as old as her daughter will be then.

Suppose that the mean cost of a haircut for a man is $28 and the mean cost of a haircut for a woman is $44. Which statement is true about the cost of haircuts? On average, the cost of a man's haircut is $16 less than the cost of a woman's haircut Hal of all men pay less than $28 for a haircut Half of all women pay more than $44 for a haircut All men's haircuts cost less than women's haircuts All women's haircuts cost $16 more than men's haircuts

A particular adjustable rate mortgage (ARM) will maintain its initial interest rate for eight years, and each year afterward it will be adjusted. Which of these symbolically expresses that loan arrangement? 1/8 8/1 1/1 8/8

Solve and check the following linear equation. 21-13+9y-3(y+3)]=-2(2y-7)-[(y-1)-2y+11] What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is (x1x is a real number). C. The solution set is Ø.

Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as the speed at which he rides. Which equation best models the amount of time it takes him to finish with his cycling, t, if he rides at a speed of m miles per hour? A. t = 18 + m B. t=m/18 C. t = 18m D. t = 18/m

Find the mean, median, and mode of the data. 7, 7, 8, 9, 5, 2, 9, 10, 7, 6 A 7,7, none B. 7,7.5, none C. 7.7,7.5,9 D. 7,7,7

Your younger brother has challenged you to a swimming race to see who can swim to the opposite side of the pool first. You know that your brother swims more slowly than you, so to make things more even you choose to swim along a path at a 40 degree angle from the path that would go directly across the pool. The pool is 60 feet wide. Draw a diagram and label all values mentioned to illustrate the problem.

Write an equation of the line with the given slope and the given y-intercept. Express the answer in standard form. Slope 2/9, y-intercept(0/1/3) Choose the correct equation below. A. 9x+2y=3 B. 9x-2y=3 C. 2x+9y=-3 D. 2x-9y=-3

A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters? Answer: V =meters³ Submit Answer

Adriana is taking out a loan to buy a car. The APR is 6.5% for a three year loan. The car salesman offered a cash-back incentive of $5500 off an original price of $33,000. What is the monthly amount that Anthony will have to pay? $764.65 $1011.42 $842.85 $917.59

Biologist have found that the number of chirps some crickets make per minute is related to the temperture. The rekationship is very close to being linear, At 68 gegrees the cricket chirps 124 times, and at 80 degrees the cricket chirps 172.

In a circle, an angle measuring 4.9 radians intercepts an arc of length 3.4. Find the radius of the circle to the nearest 10th.

Select the correct answer from each drop-down menu. Jane bought a new rectangular placemat with an area of 126 square inches. The length of the placemat is four times the quantity of nine less than half its width. Complete the equation that models the area of the placemat, in terms of the width of the placemat, w. The width of the placemat is

In a circle with radius 4.4, an angle intercepts an arc of length 21.2. Find the angle in radians to the nearest 10th.

Find the missing terms of the arithmetic sequence: 14, 18,....30 a. 23, 29 b. 22, 34 c. 4,8 d. 22, 26

Which equation has the same solution as x² - 8x + 20 = -10? (x-4)² = -14 (x-4)²-46 (x+4)² = −14 (x+4)² = -46

The volume of a cylindrical soap dispenser is modeled by the expression below. π(x + 1)²(4x + 1) Select the true statement. A. The expression π (x + 1)2 represents the radius of the soap dispenser. B. The expression π (x + 1)2 represents the radius of the soap dispenser. C. The factor 4x + 1 represents the area of the base of the soap dispenser. D. The factor 4x + 1 represents the height of the soap dispenser.

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y≤ 2x 6 y≤-1/2x -1

A store sells cement mix in 20-, 40-, and 50-pound bags. Last week the store sold 25 bags of cement mix. The store sold a total of 920 pounds of mix. The number of 40-pound bags the store sold was two less than twice the number of 20-pound bags it sold. Find the number of 20-, 40-, and 50-pound bags sold last week.

You have been asked to cut two boards (exactly the same length after the cut) and place them end to end. If the combined length must be within 0.06 inches of 30 inches, then each board must be within how many inches of 15?

A toy plane is thrown upward with an initial velocity of 7 meters per second from an initial height of 4 meters. About how much time does it take for the plane to hit the ground? About 0.5 seconds About 1.9 seconds About 2.38 seconds About 4 seconds

Briana's house is worth $179,000. The property tax rate in her county is 1.8%. What is the amount she should set aside each month to pay her property taxes? $805.50 $1611 $3222 $268.50

Kyle throws a baseball straight up from a height of 4 feet with an initial speed of 30 feet per second. If Kyle doesn't catch the ball, when will the ball hit the ground? 1 second 2 seconds 8 seconds 3.621 seconds

Which of the following expressions represents the verbal description below? the square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1

Solve the proportion you found in the previous exercise. A. about 17.5 miles B. about 0.057 miles C. about 3.43 miles D. about 10.50 miles

George made the box plots to compare the number of calories between his morning snacks and his afternoon snacks. Compare the ranges of the two plots and determine the answer that best fits the data. The range of calories in George's morning snacks is about 80 more than the range of calories in his afternoon snacks. The range of calories in George's morning snacks is about 80 less than the range of calories in his afternoon snacks. The range of calories in George's morning snacks is about 150 less than the nge of calories in his afternoon snacks. The range of calories in George's morning snacks is about 150 more than the range of calories in his afternoon snacks.

Find the difference of the polynomials given below and classify it in terms of degree and number of terms. 3n2(n2 + 4n 5) (2n2-n4 + 3) A. 4th degree polynomial with 4 terms B. 4th degree polynomial with 5 terms C. 3rd degree polynomial with 4 terms D. 3rd degree polynomial with 5 terms

A carousel with a 60-foot diameter makes 3 revolutions per minute. (a) Find the angular speed of the carousel in radians per minute. (Round your answer to two decimal places.) (b) Find the linear speed (in feet per minute) of the platform rim of the carousel. (Round your answer to two decimal places.)

Determine the value of y, if x is -12. y = |x|-5

You invest $2000 in a bank account. Find the amount of simple interest you earn in two years for an annual interest rate of 5.5%. Use the formula for simple interest /= p r t, where / is the interest, p is the principal, r is the annual interest rate, and t is the time in years. A. $22,000 B. $2,200 C. $220 D. $22

The Burger Shop sells hotdogs for $3 each and burgers for $5 each. One day, the shop sold 25 more hotdogs than burgers and made $280. Which system of equations could be used to find the number of hotdogs, h, and burgers, b, that the shop sold that day?

A food store makes a 10 lb mixture of peanuts, cashews and raisins. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as much of peanuts as of cashews. The total cost of the mixture is $14. How much of each ingredient did the store use?

Levi buys cookies and potatoes at the store. . He pays a total of $54.69. ' He pays a total of $5.49 for the cookies. . He buys 8 bags of potatoes that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of potatoes costs.

In which type of statistical study is the population influenced by researchers? A Researchers do not influence the population in any of the statistical studies. B. survey C. experiment D. observational study

Molly went shopping to buy jewelry. All of the pairs of earrings, e, cost $13.00 and the necklaces, n, cost $40.50. If she spends $118.50 and buys 7 items, how many necklaces and pairs of earrings did she buy? Enter a system of equations to represent the situation, then solve the system. Justify your answer.

Select the answer that completes the box with the correct terms. The terms are listed in 1, 2, 3, 4 order as shown in the box.

Two trucks were purchased by a landscaping company in 2016. Their values are modeled by the functions f(x) = 35(0.85) * and g(x) = 46(0.75) where x is the number of years since 2016. Which function models the truck that is worth the most after 5 years? Explain

Given the function defined by r(x) = x³ - 3x² + 9x - 4, find the following. r( − 3) r(-3)= (Simplify your answer.)

Sebastian has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 2.5 points for each visit to the movie theater. He needs 115 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket.

Complete the explanation of why slant height is not defined for an oblique cone. In an oblique cone, the distance from a point on the edge of the base to the vertex is each point on the base.

An online store begins selling a new type of basketball shoe. In Week 2, 60 pairs of shoes were sold. In Week 4, the store sold 240 pairs of shoes. Write an exponential equation that relates the number of shoes (in pairs) solve to the week number. Let x = the week number Let y = the number of shoes (in pairs)

The velocity v of an object rolled down an inclined plane is given by the formula v= √/48d, where d is the distance the object has rolled. Solve the formula for d d=(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Find the exact value of cos(u + v) given that sin u=-3/5 with u in quadrant III, and sin v=-5/13, with v in the quadrant III.