Basic Math Questions and Answers

Write two decimals that are equivalent to the given decimal. 3.400 Select all that apply. A. 3.04 B. 3.40 C. 3.4 D. 3.040 E. 3.004

Drag and drop the reasons into the boxes to correctly complete the table. -6x + 7x + 14 = x + 14 = 3 x = −11

The ratio of a basketball player's completed free throws to attempted free throws is 3 to 8. If she completed 15 free throws, find how many free throws she attempted. Round to the nearest whole number if necessary. A) 5 free throws B) 40 free throws C) 3 free throws D) 6 free throws

Is y = -18x + 58 increasing or decreasing? increasing decreasing

Logan buys white, black, and gray tiles for his bathroom floor. The number of black tiles he buys is 10 more than twice the number of white tiles. He buys 100 gray tiles. If he buys 260 tiles in total, how many of each color did he buy?

If f(x) is a linear function, f(-4)= -2, and f(5) = 2, find an equation for f(x). f(x) =

The function h is defined as h (x)=3x² - 2x. Find h (x-5). Write your answer without parentheses, and simplify it as much as possible. h(x - 5) =

Consider the graph of the function f(x) = x^2+ 3x - 18 / x^2 - 4x - 21 What are the vertical asymptotes?

Brooklyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 498 glasses. There are currently 230 glasses. If each set on sale contains 10 glasses, write and solve an inequality which can be used to determine x, the number of sets of glasses Brooklyn could buy for the restaurant to have enough glasses.

A nut wholesaler sells a mix of peanuts and cashews. He charges $2.80 per pound for peanuts and $5.30 per pound for cashews. If the mix is to sell for $4.30 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix?

Human skin becomes dry during winter, making it more prone to infections than during summer. How do the sebaceous glands protect the skin normally? A. Sebaceous glands produce a substance that moisturizes and protects the skin. B. Sebaceous glands cause the hair to stand erect, which insulates and protects the skin. C. Sebaceous glands produce keratin, which gives the skin a tough structure and protection. D. Sebaceous glands contain collagen fibers, which provide strength and protection.

Some water sports are expensive. People with larger incomes are more likely to participate in such a sport. The number of people N (measured in thousands) who engage in a particular water sport can be described by the function N=0.13x² -3.16x + 102.25, where x is the mean income (measured in thousands) and x ≥ 20. Use this information to find N when x = 25, x = 50, x= 75, x = 100, and x = 125. Find N when x = 25, x = 50, x=75, x= 100, and x = 125. When x = 25, N= 104.5 thousand people. When x = 50, N= 269.25 thousand people. When x = 75, N= 596.5 thousand people. When x= 100, N= 1086.25 thousand people. When x = 125, N= thousand people.

A local phone repair company charges $49 for a phone repair. Their operating expenses are, on average $54 per day. The manager calculates the profit of the company by subtracting the operating costs from the money he earns from the phone repairs he gives. In a given day, the manager expects to make a profit of at least 893. If the manager gives r phone repairs in a day, which inequality best models this situation?

A promissory note will pay $47,000 at maturity 6 years from now. If you pay $28,000 for the note now, what rate compounded continuously would you earn?

Graph the following quadratic function. f(x) = -x² + 2x - 7 Find the vertex of the function. The vertex is (Simplify your answer. Type an ordered pair.)

3. Which of the following statements about operations with fractions is not correct? Change a mixed number to a fraction first. To divide, flip the second fraction and then multiply. Add and subtract across fractions with different denominators. Multiply across fractions with different denominators.

Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x³ y = 0 x = 3 (a) the x-axis (b) the y-axis (c) the line x =

You roll two fair dice. If they land with a sum of 7, you get a $10. If they land with a sum of 6 or 8, you get $5. Everything else earns $0. Which of the following would be the highest value you could set the price and the player would still win? $10 $8 $5 $2

Without a calculator, determine whether the following quantities are positive or negative. 1.-51^-60 2. (−71)^8 3. (−67)^-7 4. (-71)⁰ 5.91^-1

Provide an appropriate response. Find the sample standard deviation. 22 29 21 24 27 28 25 36 1.6 4,2 4,8 2.8

Find the slope of the line that passes through (9, 9) and (1,4). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

A garden measures 24 feet by 21 feet, and the owner of the garden wishes to divide the garden into two parts by installing a fence from corner to corner. Find the cost of the total length of the fence if fence costs $2.00 per foot.

There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is that when added together, their ages total 106 years. Kirk is twice ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, and Matt is 6 years older than half the manager's age. What are all four of their ages? It may help to set up four let statements, one for each employee (including the manager).

Marcus needs to bike at least 80 miles this week for his training. If he has already biked 23 miles this week, then how many miles should he bike on each of the 5 remaining days this week?

Tamika finds some nickels and quarters in her change purse. How many coins does she have if she has 10 nickels and 11 quarters? How many coins does she have if she has a nickels and y quarters?

Suppose that $100,000 from a retirement account is invested in a large cap stock fund. After 25 yr, the value is $183,777.11. (a) Use the model A=Pez^rt to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent.

Victor and his sister have both been saving money to help pay for college. Victor deposited $750 at a local bank 3 years ago, earning a simple interest rate of 4% paid upon withdrawal. His sister deposited $800 at a local bank 3 years ago, earning a simple interest rate of 3% paid upon withdrawal. Compare the interest Victor earned after 3 years to how much interest his sister earned after 3 years?

Catherine earns a yearly salary of $75,000. Lola earns a yearly salary of $80,000. Catherine will receive a salary increase of $4,800 per year, and Lola will receive a salary increase of $3,900 per year. Which equation can be used to find n, the number of years it will take Catherine to earn the same salary as Lola? 75,000+ 4,800n = 80,000+ 3,900n 75,000n +4,800 = 80,000n + 3,900 75,000n + 4,800 = 80,000+ 3,900n 75,000n +4,800n = 80,000n + 3,900n

The equation c = 2.5t represents the cost, c, for t tickets to the school play. Does a value of 3.5 for t make sense in this situation? Explain your reasoning.

Use Hooke's Law to determine the work done by the variable force in the spring problem. Four joules of work is required to stretch a spring 0.5 meter from its natural length. Find the work required to stretch the spring an additional 0.40 meter.

Two lines are cut by a transversal. If you want to show that the lines are parallel, which of the following angle pairs would you show to be congruent? I. Alternate interior II. Vertical III. Consecutive interior IV. Alternate exterior V. Corresponding A I, IV, and V only B I and IV only C I, II, and V only D I, III, and V only

What will a $150,000 house cost 10 years from now if the price appreciation for homes over that period averages 6% compounded annually? The future cost of the house will be $ (Do not round until the final answer. Then round to the nearest cent as needed.).

Use your calculator to find the value of y for the system of equations using matrices. 2x - 3y + 2z = 13 3x+y=z=2 3x - 4y - 3z = 1

A radio station claims that the amount of advertising per hour of broadcast time has an average of 12 minutes and a standard deviation equal to 1.2 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 15 minutes. Calculate the z-score for this amount of advertising time. z = 1.15 z = -2.50 Z=-1.15 z = 2.50

You are choosing between two plans at a discount warehouse. Plan A offers an annual membership fee of $90 and you pay 70% of the manufacturer's recommended list price. Plan B offers an annual membership fee of $30 and you pay 90% of the manufacturer's recommended list price. How many dollars of merchandise would you have to purchase in a year to pay the same amount under both plans? What will be the cost for each plan?

An investment company pays 8% compounded semiannually. You want to have $17,000 in the future. (A) How much should you deposit now to have that amount 5 years from now? (Round to the nearest cent.) (B) How much should you deposit now to have that amount 10 years from now? (Round to the nearest cent.)

What is -9.2(8x-4) +0.7(2+6.3x) simplified? -69.19x-32.39 -69.19x + 38.2 72.2x + 41.21 75x-338.2

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = x, y = 0, X = 6 (a) the x-axis (b) the y-axis (c) the line x = 6 (d) the line x = = 9

A city's population in the year x = 1959 was y = 1,775,650. In 1953 the population was 1,774,750. Compute the slope of the population growth (or decline) and choose the most accurate statement from the following: The population is increasing at a rate of 150 people per year. The population is increasing at a rate of 50 people per year. The population is decreasing at a rate of 250 people per year. The population is decreasing at a rate of 150 people per year. The population is decreasing at a rate of 50 people per year. The population is increasing at a rate of 250 people per year.

Convert the measurement 2710 g= kg

Suppose the number of prisoners held in a certain type of prison, measured in thousands, can be described by the quadratic equation P = -1.94x²+76.35x+737. The variable x represents the number of years since 1990. According to the equation, how many prisoners were there in the year 2001 (x = 11) and 2006 (x = 16)? There were approximately thousand prisoners in 2001. (Simplify your answer. Round to two decimal places as needed.) There were approximately thousand prisoners in 2006. (Simplify your answer. Round to two decimal places as needed.) *****

Convert the measurement. 3 yd = inches

The projected worldwide spending for a certain type of service, in millions of dollars, for the years 2006-2011 can be estimated by the polynomial s= -35.4x² +924.6x +493, where x is the number of years after 2006. Find the projected worldwide spending for x=0, x=2, and x = 5. Use the polynomial to estimate the projected worldwide spending for this service, in millions of dollars, for the year 2006 (x = 0). $million (Type an integer or a decimal.)

Graph the following quadratic function. f(x) = 2x² + 4x + 5 Find the vertex of the function.

Leo invested $1900 in an account with annually compounded interest. After 3 years, he had $2275 in the account. What was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign. Provide your answer below:

Determine whether the ordered pair is a solution to the inequality. y≥(x-1)² (a) (-4, 31) (b) (3, 0) (c) (-3,-15) (a) Is the ordered pair (-4, 31) a solution to the inequality?

Darryl made a deposit into an account that earns 7% annual compound interest. After 36 months, the value of his account was $1,041.29. What was the approximate amount of Darryl's initial deposit?

Hunter makes shoelaces for the cleats to earn money for the football team. Each shoelace needs to measure 50 3/4 inches long. He needs to make 4 shoelaces. How many inches does he need to make the 4 shoelaces?

The position function of a particle is given by s = 2t³ - 15t²-81t, t> 0. where s is measured in meters and t in seconds. Find all values of t> 0 for which the particle is moving at a velocity of 3 m/s t=

A pumpkin is launched 19.6 meters per second from a 58.8 meter tall platform. The equation for the object's height s at time t seconds after launch is s (t)=-4.92t2 +19.6t+58.8, where s is in meters. When does the pumpkin strike the ground?