Basic Math Questions and Answers

The length of a rectangle is three times its width. If the area of the rectangle is 147 yd², find its perimeter.

A standard queen bed hotel room at the Posh Inn is currently priced at $135 a day, after a 17% markup to offset inflation costs. What was the daily charge for the room before the increase? Choose one 5 points $157.95 $118.00 $115.38 $100.75

1 The lower the price for purchasing a song from an online music store, the more times the song is downloaded. Let d r(p) give the average number of daily downloads of a song as a function of the price of the song (in cents). Let Po be the price currently being charged for the song (in cents). What does the statement r(60) tell you about the number of downloads from the store? Or(60) gives the price, in cents, of the song if the average number of daily downloads is 60. Or(60) gives the price of the song if it has been downloaded a total of 60 times. Or(60) gives the average number of songs downloaded daily at a price of 60 cents per song. O r(60) gives the average daily revenue of the music store if the song costs 60 cents. Or(60) gives the total number of times the song is downloaded if it costs 60 cents.

Kira has scored 74, 61, 65, and 72 on her previous four tests. What score does she need on her next test so that her average (mean) is 72? X Ś ?

You are traveling on a zip-line between two towers. A bird's eye view of the zip-line is drawn below. Each box on the grid represents a 12 ft x 12 ft square. Consider tower A to be located at the origin (0,0). It takes you 48 seconds to travel from one tower to the other. Assume you travel at the same speed the entire time. A) Find the exact coordinates in feet of your location 15 seconds after you leave tower A traveling towards tower B. B) Calculate the distance that you traveled in that 15 seconds. Round your answer to the nearest tenth of a foot.

Before we start multiplying, we notice that (6x9)(6x - 9) = expression. (6x - 9)2 (6x9)(6x - 9) + 4 = (6x - 9)² - ³² +4 Substitute this into the

Danielle is creating a scale drawing of her room. The rectangular room measures 20 feet by 24 feet. If her drawing uses a scale where 1 inch represents 2 feet of the actual room, will her drawing fit on a 8.5 inch by 11 inch piece of paper?

Solve for v, where v is a real number. √2v+7-√4v+13 = 0 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". = 0 V = No solution 8 X 0/0 2:16 0.0.... Ś ?

Solve for y. 2y²=-11y-5 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $8,000, how much will be invested in each type of investment? The amount invested in CDs is $ The amount invested in bonds is $

Order the integers from least to greatest. a. 5.-7. 6.-2.0 b. -3. 5. 9.-8. 1 d. -42. -75. 69, 28, 64 e. 35.-117, 69, -171.-99 Order the integers from greches) to least. -T 7. 14.-28, 35 N 44 -25. 63. -32. 41 1 20. -40. 0. -40. 00 Orde the temperclures ton wames" to colded. |________12°F__PAYE__REVF- SF €21C. 1BC 4C7C

The lower the price for purchasing a song from an online music store, the more times the song is downloaded. Let d average number of daily downloads of a song as a function of the price of the song (in cents). Let po be the price currently being = r(p) give the charged for the song (in cents). What does the statement po r(Po) tell you about the number of downloads from the store? O The average revenue earned per download at the current price. O The total revenue of the music store when po songs are downloaded in a day. O The average daily revenue of the music store if the current price is doubled. O The total numbe of times the song is downloaded at the current price. O The average daily revenue of the music store from selling the song at the current price.

Animals often play an important role in the transportation of plant seeds. A 2014 study by Baldwin and Whitehead investigated the role played by fruit bats in seed transportation. The data provided give the weight in grams and length in inches of the fruit bats from this study. Click to download the data in your preferred format. CrunchIt! CSV Excel JMP Mac-Text Minitab PC-Text R SPSS TI-Calc Suppose Baldwin and Whitehead want to construct a linear model to predict the length of the wingspan of a fruit bat (in inches) from the bat's weight (in pounds). Calculate the y-intercept and slope of the least-squares regression line using weight to predict length. Give your answers precise to three decimal places. y-intercept: in slope:

Every Sunday, Sarah makes trail mix for the week. She always makes more than 3½ cups of the mix. Then she divides it equally into 7 bags. Write an inequality for the number of cups of trail mix, x, in each bag. Show your work.

Solve for y. 5y²-4=-y If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

Several months ago, a patient weighed 95 kg. When he comes in for his next appointment, he tells you he has lost 11 lb. If he is correct, how many kilograms should he weigh? kg

Perform the following conversion using either the proportion method or dimensional analysis. 180 mL = fl oz

Fill in the blank with the most appropriate term or phrase. A line that falls from left to right has a(n) slope.

If $P is invested for n years at a rate / (as a decimal), compounded annually, the future value that accrues is given by S = P(1 + i)", and the interest earned is I = S-P. Find S and I for the given P, n and i. (Round your answers to the nearest cent.) $1300 for 5 years at 11% S = $ I = $

Chocolate Bliss sells their box of chocolate candy for $2.00 per candy plus a $12 packaging fee. Expressions in Sweets sells their box of chocolate candy for $3.00 per candy plus a $10 packaging fee. If five boxes of Chocolate Bliss chocolate candy cost the same as four boxes of Expressions in Sweets chocolate candy, how many candies are in each box?

11 If a skyscraper has a height of 235 feet, could it be in the town described in problem 3? Explain why or why not.

Sonya drank 4 oz of juice and 8 oz of milk for breakfast; for lunch she had a 12 oz soda, then she drank another 12 oz soda mid- (use either proportion or afternoon. For dinner she drank 16 oz of water. The amount of fluid she drank equals dimensional analysis) liters

The length of a rectangle is 7 yd more than twice the width x. The area is 855 yd². Part 1 of 3 (a) Write an equation in terms of x that represents the given relationship. The equation is x (2x + 7) = 855 Part 2 of 3 (b) Solve the equation to find the dimensions of the given shape. The width is 19 yd. Part: 2/3 Part 3 of 3 The length is yd. X

What is the simplified expression for the expression below? (5x+20)-(4x-28) -2x+3 -2x-3 O-2x-8 -2x+8

Solve for v, where v is a real number. √v-10=6 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Tutorial Exercise Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. (3x + 3y)³ = 27x³ + 27y³, (-1, 1) Step 1 Expand the term (3x + 3y)3 in (3x + 3y)3 = 27x3 + 27y³ and simplify. (3x + 3y)³ = 27x³ + 27y³ 27x3 + 81x²y + 81xy2 + 27y3 = 27x³ + 27y³ 81x²y + 81xy² x²y + = = 0

A physician orders 1/2 fl oz of medication for a patient. How many milliliters of medication should the patient be given? mL

Solve for w. -30w-25=9w² If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

5 6 Find the lateral and surface area of a cylinder with base area 49 m² and a height 2 meters less than the radius. The lateral area of the cube is The surface area of the cube is 2 3 m². m². 4 7 y.hrw.com/dashboard/

(a) Simplify s³s⁹ and write your answer without using negative exponents. (b) Simplify s³s-⁹ and write your answer without using negative exponents. (c) Simplify s-³s⁹ and write your answer without using negative exponents. (d) Simplify s-³s-⁹ and write your answer without using negative exponents.

Which conversion factors are used to multiply to 18 cm/s to get meters per minute? Select each correct answer. 0 1 m 100 cm 100 cm 1 m 60 s 1 min

Hans has scored 20, 17, and 24 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 22 points per game?

Which description is represented by a discrete graph? O Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax? The temperature at 9 a.m. was 83° F and is heating up at an average rate of 6°F per hour. What is the temperature x hours later? O Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed? O A bottle contained 2,000 mL of liquid and is being poured out at an average rate of 300 mL per second. How much liquid is left in the bottle after x seconds?

Sonya, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $391 for 44 hours worked. What is her regular hourly rate? Sonya's regular hourly rate is $ per hour.

A small manufacturing company produces child-sized and adult-sized adirondack chairs. The company makes a profit of $40 on each child-sized chair and $75 on each adult-sized chair. The manufacturer can make a total of 150 chairs per week. It takes 1 hour of labor to make a child-sized chair and 2 hours of labor to make an adult-sized chair, and the company has 200 hours of labor available per week. Let x represent the number of child-sized chairs and y represent the number of adult-sized chairs. Determine how many child-sized and adult-sized adirondack chairs should be manufactured weekly to maximize production. O 50 child-sized chairs and 100 adult-sized chairs O 150 child-sized chairs and 0 adult-sized chairs O 0 child-sized chairs and 100 adult-sized chairs O 100 child-sized chairs and 50 adult-sized chairs

Is this equation an identity? 9n + 9 = 9n - 17 yes no

(a) Simplify 5.6 and write your answer without using negative exponents. (b) Simplify a (c) Simplify (d) Simplify 13 a and write your answer without using negative exponents. 2 p13 a and write your answer without using negative exponents. and write your answer without using negative exponents.

Write the following expression in exponential form. -5•-5•-5•-5 -5•-5•-5•-5= (Use integers or fractions for any numbers in the expression.)

Abe earned a score of 144 on a test with a mean of 128 and standard deviation of 34. Bob earned a score of 90 on a test with a mean of 86 and standard deviation of 18. Caleb earned a score of 18 on a test with a mean of 15 and standard deviation of 5. a) Which student has the best relative position? Give an answer of Abe, Bob, Caleb, or none (if all performed the same)? b) To two decimal places, what is the standard score of the value chosen in part (a)? A/ 1

Matt invested $300 into an account that had an annual interest rate of 3.8% compounded monthly for 5 years. Chris invested $350 into an account that had an annual interest rate of 3.5% compounded continuously for 5 years. Determine which models could be used to determine how much money would be in each account after 5 years. O Matt: A = 300 (1 + 0.038) 60 12 Chris: A 350e (0.035.5) O Matt: A 300e(0.038.5) Chris: A = 350(1+0.35)5 Matt: A = 300 (1 + 5) Chris: A 350e (3.5-5) B Matt: A = 300 (1 + 0.035) 60 12 Chris: A350e(0.35-5)

A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and plant flowers there. The longest side of the triangular section is 7 feet shorter than twice the shortest side. The third side is 2 feet longer than the shortest side. The perimeter is 59 feet. How long is each side?

Graph f(x) = 6. Use the graphing tool to graph the function.

A 10-yr-old competes in gymnastics. For several competitions she received the following "All-Around" scores: 37.9, 37.4, 37.8, and 38.7. Her coach recommends that gymnasts whose "All-Around" scores average at least 36.3 move up to next level. What "All-Around" scores in the next competition would result in the child being eligible to move up?

Shen needs to have a toilet repaired in his house. The cost of the new plumbing fixtures is $170 and the labor is $40/hr. (a) Write a model that represents the cost of the repair C (in $) in terms of the number of hours of labor x. The model that represents the cost of repairs is C = (b) After how many hours of labor would the cost of the repair job equal the cost of a new toilet of $370? It would take hours of labor for the cost of the repair job to equal the cost of a new toilet.

A boat travels upstream for 288 miles in 4 hours and returns in 3 hours traveling downstream in a local stream of water. What is the rate of the boat in still water and the rate of the current? The rate of the boat in still water is The rate of the current is miles per hour. miles per hour.

Is this equation an identity? -2 3c + 2c = 9 - c - yes no

68. Mrs. Larson's math class is using cardboard to build a scale model of the Great Pyramid of Khufu in Egypt. The surface area of this pyramid is about 1,496,510 sq. feet. If the scale factor of the surface area of the model to the original is 1:100, how much cardboard will the class need to make the model?

The earnings of two employees are given below: Rachel: 7% on all sales Gunther: 4% commission on the first $60,000 and 7% on anything over $60,000. How much more does a straight commission employee make than the graduated commission employee for sales of $100,000?

Patrick spends on apples in a week. Then write an inequality that represents pound, Draw a graph that represents the possible amounts of money, m, that your graph. Show your work.

At his wellness checkup, Jacob was told that as a healthy male adult, he should drink about 3 liters of fluid every day. Jacob asked how many cups of fluid that would be, and the physician replied that he should drink of fluid per day. If the answer results in a mixed number be sure to include a space between the whole number and the fraction. Example: 1 1/4 (read as one and one-fourth). cups