Basic Math Questions and Answers

If the length of a sea turtle is directly proportional to its age, and a 2-year old sea turtle is 3 inches long, how many feet long is a 50-year old sea turtle? [?] feet Give your answer as a decimal. Do not round.

If you want to write a paragraph describing how to change a flat tire on a car, which pattern would you be most likely to use? definition problem/solution process comparison and contrast

In how many ways can a person read 3 different books from a collection of 7 books during a one week vacation?

How can we change this fraction into a decimal? 5/9 Divide the Denominator by the Numerator, 9/5 = 1.8 Divide the Numerator by the Denominator, 5÷9 = 0.5555555555555555555555555...

At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)

Which pattern of organization is being used in this passage? For at least 4,000 years, the wind has been used as an energy source. Unlike fossil fuel energy (such as diesel oil or gasoline), wind energy is unlimited. Another difference is that wind energy produces no pollution when it is used to create electricity. Large windmills or wind turbines capture the wind; the energy from the turning blades produces electricity. Another distinction is that wind is the fastest growing energy source in the world. comparison and contrast cause and effect topical/listing definition

An arithmetic sequence is given below. -8,-6,-4, -2,0 -8 is the first number in the sequence and n represents the term number. This sequence can be written as an = 2n + m In this sequence, Enter the value of m.

How many different four-letter permutations can be formed using four letters out of the first twelve in the alphabet?

Solve for h. r = 5h+5v

An angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall? Quadrant I Quadrant II Quadrant III Quadrant IV

Cost, Revenue & Profit For these problems, will represent the number of items and y will represent the money. The fixed costs for a certain item are $170 per week. The cost to produce each item is $6 per item. Using this information, what is the cost equation? Give your answer in slope-intercept form: 6x + 170 y = The retailer intends to sell each item for $21/item. Using this information, what is the revenue equation? Give your answer in slope-intercept form: 21z y= If in this week 16 items are made, and all items are sold in the week, what are the total costs to the retailer? Cost = S 166 X What is the revenue from selling 16 items? Revenue S 336 = Finally, what is the profit for this retailer? Profit $ 170 = X

On a bicycle, Amy rides for 3 hours and is 14 miles from her house. After riding for 5 hours, she is 22 miles away. What is Amy's rate over the last 2 hours?

Angelo makes x dollars for y hours of work. Sarah makes the same amount of money working 1 hour less. Which of the following expressions represents the positive difference between the two people's hourly wage? Enter a, b, c, d, or e.

Find the equation for the following parabola. Focus (3, 4) Directrix y = 2 A. (x-3)² = 2(y-2.5) B. (x-3)² = 4(y-3) C. (x-3)² = (y-4) D. (y-3)² = 4(x-3)

If a car travels 130 miles on 6 gallons of gasoline, how many miles would it travel on 18 gallons? [?] miles Enter the number that belongs in the green box.

Find x if the distance between points L and M is 15 and point M is located in the first quadrant.. L = (-6, 2) M = (x, 2)

What is the vertex of this quadratic function? y = 4(x + 5)² + 7

For these problems, □ will represent the number of items and y will represent the money. The fixed costs for a certain item are $170 per week. The cost to produce each item is $6 per item. Using this information, what is the cost equation? Give your answer in slope-intercept form: y = 6T-170 The retailer intends to sell each item for $21/item. Using this information, what is the revenue equation? Give your answer in slope-intercept form: Y If in this week 16 items are made, and all items are sold in the week, what are the total costs to the retailer? Cost = $ 96 What is the revenue from selling 16 items? Revenue = $ 336 Finally, what is the profit for this retailer? Profit = $240 -

Solve the equation and check your solutions. If there is no solution, say so. 7 - 5/2x = 15/x

A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is not blue?

In how many ways can a president, vice president, and treasurer be selected for a club if the club has 40 members?

The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h. How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour. 1. 250+200h = 300 + 180h 2. 250 + 200h = 300 + 180h -180h -180h 3. 250+ 20h = 300 h = credit hours

Let p, q, and r represent the following simple statements. p: The temperature is below 35°. q: We finished eating. r. We go to the slope. Write the symbolic statement (q^p)-r in words. If the symbolic statement is given without parentheses, statements before and after the most dominant connective should be grouped. Translate into English. Choose the correct sentence below. OA. If we finished eating and the temperature is not below 35°, then we will not go to the slope. B. If we have finished eating or the temperature is below 35°, then we go to the slope. C. If we have finished eating, then the temperature is below 35° and we go to the slope. D. If we have finished eating and the temperature is below 35°, then we go to the slope.

If a line has an x-intercept at x = -10 and a y-intercept at y = 9, find its equation in the form y = mx + b.

The width of a rectangle is 3 less than its length. Find the width of the rectangle if its perimeter is 26 ft.

Laura can finish payroll in 3- hours. It takes Ben 5 hours to do the same job. If they work together, how long should it take them?

A red die is tossed and then a green die is tossed. What is the probability that the red die shows an even number or the green die shows an even number? Make sure your answer is reduced. Hint: The two events are not mutually exclusive. So to the find the probability of the union, use: P(A or B)=P(A) + P(B) - P(A and B)

Using the following values, find the mean, median, mode and midrange. 58, 51, 38, 49, 59, 46, 62 The mean is (Round to the nearest tenth as needed.) The median is Select the correct choice below and fill in any answer boxes within your choice. A. The mode is (Use a comma to separate answers as needed.) B. There is no mode. The midrange is

John can finish a certain job in three hours and Chris can finish it in two hours. How many hours will it take them to finish the job if they work together?

Suppose that the probability that your mail is delivered before 2 pm is.90. What is the probability that your mail will be delivered before 2 pm for two consecutive days? Give your answer as a decimal.

It takes Destiny 4 hours to file all the daily paperwork. It takes Susan 5 hours to file the same paperwork. If they work together, how long will it take them?

A mother gives birth to a 9 pound baby. Every 4 months, the baby gains 3 pounds. If z is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y=mx+b that describes the baby's weight.

What is the vertex of this function? f(x) = -4(x - 2)² +9 ([?], []) Hint: Vertex form, y = a(x-h)2 + k, helps us quickly identify the vertex of a quadratic.

Graph n(x) = |x| on the Cartesian plane to the right. The domain of n(x) is: The range of n(x) is: If any of the above do not exist, leave the answer box blank.

The length of a rectangle is 5 less than twice its width. Find the perimeter of this rectangle if its area is 273 yd².

Solve the system of equations by the addition method. x - 2y = -3 -x+6y=-1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is B. There are infinitely many solutions. C. There is no solution. (Simplify your answer. Type an ordered pair.)

Let p, q and r represent the following simple statements: p: I get an A. q: The play is boring. r: The stove is hot. Write the following compound statement in its symbolic form. If I get an A or the play is not boring, then the stove is hot. Write the symbolic form of the statement below.

The line graph shows the goals per game average for a sporting series during the years shown. Find the average number of goals per game in 1981. The average number of goals per game in 1981 was (Round to the nearest tenth as needed.)

If 3 gallons of paint covers 925 ft², how many gallons would be needed to cover 2775 ft²? [?] gallons Enter the number that belongs in the green box.

Select all the correct answers. Grey's Labs is testing a new growth inhibitor for a certain type of bacteria. The bacteria naturally grows exponentially at a rate of 4.7% each hour. The lab technicians know that the growth inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. The current sample contains 90 bacteria. Once a standard tube contains more than 270 bacteria, the sample will stop growing. So, to analyze the effect of the inhibitor over longer spans of time, the lab technicians move the bacteria to larger containers, essentially increasing the container size at a constant rate. This adaptation accommodates 100 more bacteria each hour. The research team wants to track the number of bacteria over time given these two conditions. Select the two inequalities they can use to model this situation. P ≥ 90e0.047t P ≤ 270 + 100t P ≤ 270 - 100t P≤ 0.047e90t P≤ 90e0.047t

By inspecting the graph of the function, find the absolute maximum and absolute minimum on the given interval. n(x)=3√x - 1 on [8,27] Choose the correct graph below.

What is the minimum number of x-intercepts that a polynomial of degree 6 can have? Explain. The minimum number of x-intercepts is 0. (Type a whole number.) Explain. With a positive leading coefficient, an .... polynomial will start .... Vand end ... With a negative leading coefficient, an .... polynomial will start ... and end ...

Becky has quarters, dimes, and nickels in her pocket. The value of her money is $2.25. There are 2 more nickels than dimes and there are a total of 19 coins. How many dimes does Becky have? [?] dimes

The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.72, the probability that a car brought into the shop requires brake repair is 0.28, and the probability that a car requires both an oil change and brake repair is 0.13. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair. The probability that the car requires an oil change or brake repair is (Type an integer or a decimal.)

A die is rolled 100 times and recorded each outcome. If 1 occurred ten times, 2 twenty times, 3 fifteen times, 4 fifteen times and 5 twenty times, then what is the probability of getting a 6? (a) 1/6 (c) 1/4 (b) 1/5 (d) 1/3

Select all the correct answers. Rachel and Jeffry decided to start saving for college. Rachel has $1,500 to start her savings account, and Jeffery has $1,200. Rachel's bank offered her an interest rate of 7.5% compounded annually. Jeffery decided to keep his money in a safe in his bedroom, and he adds $200 to his safe each year. Suppose that A represents the accumulated money in each one's savings fund and t represents the number of years. Choose the equations that form the system that best models this situation. A = 200t + 1,200 A = 1,200(1.2)t A = 7.5t + 1,500 A = 1,500(1.075) A = 1,200(1.075)t

Jon starts out on a trip at 45 mph. If 1/1/2 hours later, Joel starts out on the same route at 60 mph, which equation may be used to determine how long it will take Joel to overtake Jon? Enter a, b, c, d, or e.

The hypotenuse of a right triangle is 12 centimeters, and the shorter leg is 6 centimeters. Find the length of the other leg. 6 √3 cm 8 cm 6 √5 cm

A certain phone call costs 75 cents for the first three minutes plus 15 cents for each additional minute. If the call lasted x minutes and x is an integer greater than 3, which of the following expresses the cost of the call in dollars? Enter a, b, c, d, or e. a. 0.75(3) + 0.15x b. 0.75(3) + 0.15 (x+3) c. 0.75 +0.15(3-X) d. 0.75 +0.15(x - 3) e. 0.75 +0.15x

What is the solution set of the following equation? -5x + x + 9 = -4x + 12 (1/7) ∅ (all reals)