Basic Math Questions and Answers

For this assessment you must demonstrate your understanding of alternate plot structures by writing your own version of one of the fairy tales provided. Select one of the following fairy tales Select two of the techniques from this lesson. Rewrite part or all of the fairy tale using the two techniques you have selected. Include one paragraph in which you explain which techniques you have selected and how you put them to use in your re-write. Look at a sample of this assignment. See the sample.

A particular shade of paint is made by mixing 3 parts red paint with 5 parts blue paint. To make this shade, Shannon mixed 9 quarts of blue paint with 6 quarts of red paint. Did Shannon mix the correct shade? Complete the explanation. Shannon (select) mix the correct shade. The ratio of the original shade paint is shade Shannon made is

Last year, Melissa biked 307 miles. This year, she biked c miles. Using c, write an expression for the total number of miles she biked.

A patient is given a 50 mg dose of medicine. The medicine's effectiveness decreases every hour at a constant rate of 40%. What is the exponential decay function that models this scenario? How much medicine will be left in the patient's system after 2 hours?

14. Stretch Your Thinking Marshall surveyed his classmates and found that have a sister, have a brother, and 14 don't have any siblings. a. What is the sum of the three fractions? b. Why does it make sense for the sum to be greater than 1 whole?

Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 8% hydrochloric acid solution. Find the amount of 14% solution and the amount of 7% solution she should mix to get this solution. How many ounces of the 14% acid solution should be in the mixture?

Using the Net Method, which of the following journal entries accurately reflect merchandise invoiced at $550 with terms of 2/10 net 30? a. debit accounts receivable $550/credit sales revenue $550 b. debit sales revenue $539/credit accounts receivable $539 c. debit accounts receivable $539/credit sales revenue $539 d. debit sales revenue $550/credit accounts receivable $550

You are looking for an apartment and have found two places that suit you. The apartment closer to school has a $1,500 security deposit and costs $1,175/month while the one farther away has a $1,000 security deposit and costs $1,200/month. How many months of rent will it take for the costs at both apartments to be the same? (Let the number of months you are renting the apartment = x. Hint: Your answer should be a whole number.)

Solve the quadratic equation by completing the square. x² + 12x+26= 0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas.

Convert each of the following numbers from scientific to ordinary notation, and write its name. a. 9x107 b. 7.3 x 106 c. 6 x 10-2 d. 6.2 x 10

Find the quadrant in which the given angle lies. 116° a. Quadrant I b. Quadrant IV c. Quadrant III d. Quadrant II e. None of the above

If mz2 = 4x-6 and mz3 = 2x + 18, for what value of x is a || b? Which theorem justifies your answer?

For her phone service, Donna pays a monthly fee of $20, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $100.78. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m.

Suppose you have $300 to pay for swimming and yoga classes this month. The price for one yoga class is $40. You want to attend 5 swimming classes. The equation for the quantity of yoga classes is as follows: Qy = 22 - 4Qs Calculate how much a swimming class costs. Assume that the budget has to be spent entirely. Enter the exact value. Do not round.

Jenny Tarver purchases a $1,599.99 treadmill, a $49.99 pair of walking shoes, a $79.99 leather handbag, 6 pairs of socks at $8.99 per pair, and 2 pairs of running shorts at $19.99 each at the County Store in Bay Shore, New York. The state sales tax rate is 4%, the county rate is 4.25%, and the city transportation tax rate is 0.25%. What is the sales tax on her purchases?

Carmen is 51/4 years younger than Antoine. Katy is 11 1/4 years older than Carmen. To the nearest year, what is the difference in Antoine's age and Katy's age? A Antoine is about 17 years older than Katy. B Antoine is about 6 years older than Katy. C Antoine is about 6 years younger than Katy. D Antoine is about 17 years younger than Katy.

Wayne is hanging a string of lights 79 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is 3 feet longer than twice its width. Find the length and width of the patio.

City B is 10 miles downstream from city A and on the opposite side of a river half a mile wide. Mary will run from city A along the river for 6 miles, and then swim diagonally (i.e., along a straight line) across the river to city B. If she runs at 8 miles per hour and swims at three miles per hour she will reach City B after hours. Assume that the current is negligible.

Tickets to a Broadway show cost $35 for adults and $15 for children. The total receipts for 1530 tickets at one performance were $44,350. How many adult and how many child tickets were sold?

Point B is between A and C on AC. Use the given information to write an equation in terms of x. Solve the equation. Then find AB and BC.

Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D. (If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this be done, if the order of the choices does not matter?

Lydia earns $540 per week. Each week, $32 is deducted for federal income taxes, $24.50 for FICA taxes, $29 for state taxes, and $74.50 for health insurance. Find the percentage of gross pay that Lydia takes home to the nearest percent.

Valerie is ordering salads and drinks for her friends. Salads cost $7 each, drinks cost $3 each, and there is a $5 delivery charge per order. She has $50. She buys 3 salads, and wants to figure out the maximum number of drinks she can buy.

Tom bought 8 hamburgers and 5 steaks. Each hamburger weighed 0.35 pounds and each steak weighed 1.25 pounds. How many pounds of meat did Tom buy? * 9.05 pounds 13 pounds. 1.6 pounds 14.6 pounds

Shen is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $83 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.

The Clothes Barn is having a 65% off sale on all the dresses, Jennifer paid $43.75 for a dress that was on sale. What was the original price of the dress? $125.00 $28.44 $15.31 $105.00

Maxim has been offered positions by two car companies. The first company pays a salary of $8000 plus a commission of $1100 for each car sold. The second pays a salary of $25600 plus a commission of $300 for each car sold. How many cars would need to be sold to make the total pay the same?

Solve (y-2)³-72=0 where y is a real number. Write your answer in simplified radical form. (If there is more than one solution, separate them with commas.)

Select the reason that best supports Statement 2 in the give 7 proof. A. Substitution B. Division Property of Equality C. Given D. Subtraction Property of Equality

Which of the following is true because of the Associative Law of Addition? 1000 + (2000 + 6) = (1000 + 2000) + 6 1000 + 2000 + 6 = 2000 + 1000 + 6 (1000) + 2000 + 6 = 1000 + (2000) + 6 1000 + 2000 + 6 = 3006

Drake and Josh want to go snowboarding in 3 weeks. Josh is able to save the $520 he needs to go on the trip by saving the pay he received for 5 hours of work at the movie theater each week. Drake must save 8 hours worth of pay from various gigs each week in order to have enough money. How much more money does Josh make than Drake?

An art teacher is hosting a summer art camp. He has a total of $83 to purchase snacks, drinks, and art supplies. He buys 75 bags of chips at $0.30 each and 15 juices at $0.45 each. How much money does he have left to spend on art supplies?

Evaluate the algebraic expression at the indicated values of the variables. (Simplify your answer completely.) 4x² - 5y² - 4xy at x = 3 and y = -5

Gold can be hammered into extremely thin sheets called gold leaf. An architect wants to cover a 100 ft x 85 ft ceiling with gold leaf that is five- millionths of an inch thick. The density of gold is 19.32 g/cm³, and gold costs $1654 per troy ounce (where 1 troy ounce = 31.1034768 g). How much will it cost the architect to buy the necessary gold?

A principal of $4400 is invested at 3.5% interest, compounded annually. How much will the investment be worth after 5 years? Use the calculator provided and round your answer to the nearest dollar.

in the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft. An acre is 4840 yd An acre-foot is enough water to supply two typical households for 1.00 yr. Part A It desalinated water costs $1750 per acre-foot, how much does desalinated water cost per liter? Part B How much would it cost one household per day if it were the only source of water?

Hattie had $5750 to invest and wants to earn 4.8% interest per year. She will put some of the money into an account that earns 2.6% per year and the rest into an account that earns 4.9% per year. How much money should she put into each account?

Translate the sentence into an inequality. A number b increased by 5 is less than or equal to 30.

Use the Monotonicity Thoerem to find the intervals where the given function is increasing and w g(t) = -21²-3t+4 Select the correct choice below and, if necessary, fill in the answer box within your choice. (Type your answer in interval notation.) A. The function g is increasing on B. The function g is not increasing on any interval. Next Que

Sarah left Minneapolis heading east on the interstate at a speed of 70 mph. Her sister followed her on the same route, leaving 2 hours later and driving at a rate of 80 mph. How long will it take for Sarah's sister to catch up to Sarah?

Solve for u. 5u²+15u=0 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

A biochemist carefully measures the molarity of calcium ion in 89.3 mL of cell growth medium to be 68.2 µM. Unfortunately, a careless graduate student forgets to cover the container of growth medium and a substantial amount of the solvent evaporates. The volume of the cell growth medium falls to 12.7 mL. Calculate the new molarity of calcium ion in the cell growth medium. Round each of your answers to 3 significant digits.

A package of aluminum foil contains 50. ft² of foil, which weighs approximately 8.0 oz. Aluminum has a density of 2.70 g/cm³. What is the approximate thickness of the foil in millimeters?

Elena collects 112 specimens of beetle and records their lengths for an ecology research project. When she returns to the laboratory, Elena finds that she incorrectly recorded one of lengths of the beetles as 122 centimeters (about 4 feet). What should she do with the outlier, 122 centimeters, when she analyzes her data?

Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts. 2x² + 10x = 0 Rewrite the equation in factored form. The solution set is (Use a comma to separate answers as needed. Type each solution only once.)

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. Parallel to the line x-2y = -9; containing the point (0,0) The equation of the line is. (Simplify your answer. Use integers or fractions for any numbers in the equation.)

Range of ankle motion is a contributing factor to falls among the elderly. Suppose a team of researchers is studying how compression hosiery, typical shoes, and medical shoes affect range of ankle motion. Click to download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc In particular, note the variables Barefoot and Footwear1. Barefoot represents a subject's range of ankle motion (in degrees) while barefoot, and Footwearl represents their range of ankle motion (in degrees) while wearing typical shoes. Use this data and your preferred software to calculate the equation of the least-squares linear regression line to predict a subject's range of ankle motion while wearing typical shoes, ŷ, based on their range of ankle motion while barefoot, x. Round your coefficients to two decimal places of precision. ŷ=

Find the least common multiple of 6w³ and 7n².

An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 90 miles from the point and has a speed of 270 miles per hour. The other is 120 miles from the point and has a speed of 360 miles per hour. Exercise (a) At what rate is the distance between the planes changing? Exercise (b) How much time does the controller have to get one of the airplanes on a different flight path? Step 1 In part (a), it was found that the two planes were 150 miles apart and getting closer at the rate of 450 mph. Use the formula Time = Distance/Speed to find the time that the air traffic controller has to get one of the planes on a different flight path.

Suppose it has been determined that the sales at a gallery decline after the end of an advertising campaign, with daily sales given by where S is in dollars and x is the number of days after the campaign ends. What are the daily sales 10 days after the end of the campaign?