Basic Math Questions and Answers

2 Solvex -50, where x is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click "No solution." -5√2 x = 5 0.0.... X 08 0/6 Ś No solution ?

Solve for u, where u is a real number. √√u=2 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

What operation on both sides of the equation isolates the variable on one side? Give the solution of the equation. 3x = 2x - 10 Enter the exact answer.

Solve for w, where w is a real number. w = -3

2 Solve x =96, where x is a real number.

If x= -5 and y = -9, evaluate the expression. 6x²-5y² Select the correct choice below and fill in any answer boxes within your choice. A. The answer is (Type an integer or a simplified fraction.) B. The expression is undefined.

Solve for y, where y is a real number. √√/y=-4

The length of a rectangle is 6 yd longer than its width. If the perimeter of the rectangle is 44 yd, find its area. 8 08 2 0yd²

Answer the following questions using the information given. The length of a small ant is 3-10-3 meter and the length of a large ant is 3.5-10-² meter. a.) Find the difference in length, in millimeters, of the two ants. Write your answer in scientific notation. millimeters. b.) If there is a trail of 2 small ants and 1 large ant in a straight line, find the total length of the line. Write your answer in scientific notation. meters.

Use the quadratic formula to solve for x. 2x²+x-9=0 (If there is more than one solution, separate them with commas.) x = -1+√2-1-√2 VE 0/6 09 00 X S ?

Evaluate the expression u²+² (u-v)² given that u = - - 5 and v = 4. u² + v² - (u - v)² = Jua I

The solution to the equation depends on the constant a. Assuming a is positive, what is the effect of increasing a on the value of the solution? Does it increase, decrease, or remain unchanged? O The value of the solution increases. O The value of the solution decreases. O The value of the solution remains unchanged. x-a=0

Assume that movie tickets cost p dollars for adults and q dollars for children. Write expressions for the total cost of tickets for: (a) 4 adults and 6 kids total cost (b) No adults and 7 kids total cost = (c) No kids and 8 adults total cost = (d) A adults and C kids total cost =

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.