Basic Math Questions and Answers

Solve the following equation. 8lx| = 128 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is the empty set. B.The solution set is (Use a comma to separate answers as needed. Type an integer or a simplified fraction.)

A Ferris wheel at an amusement park is modeled by (x-80)2 + (y-80)2 = 5,625, where the measurements are in feet. A slingshot attraction is modeled by y=-3x² + 72x-280. Which attraction reaches a greater height, and what does it represent in terms of the context? The slingshot reaches a greater height at 280 feet, which is the vertex of the parabola. The Ferris wheel reaches a greater height at 155 feet, which is the highest point on the circle. The slingshot reaches a greater height at 152 feet, which is the vertex of the parabola. The Ferris wheel reaches a greater height at 150 feet, which is the highest point on the circle.

A local pizza place has a special deal on Thursday: Buy a large one topping pizza for $12 and each order of cheesy bread is $2.50. This creates a linear equation that represents the cost of the purchase of multiple orders of cheesy bread. What would be the rate of change in this word problem? O A 2.5 OB. O 2.5 C. 4.8 O D 4.8

An employee earns $48,000 in the first year with a company. Every year, the annual salary increases by $4,500. How much is earned during eight years with the company? $388,500 $420,000 $510,000 $636,000

Greenpoint is hosting a city-wide arts festival at which vendors can pay to have a small booth or a large booth. The fee for a small booth is $30, whereas the fee for a large booth is $83. The city hopes to receive at least $1,500 in fees. A Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of small booths y = the number of large booths 30x + 83y > 1,500 30 + x + 83 + y ≥ 1,500 30 + x + 83 + y > 1,500 30x + 83y2 1,500

Samantha donated 9 T-shirts to charity and has 16 left. Which equation could be used to find x, the number of T-shirts Samantha had originally? OA. x-16=9 OB. X+16=-9 OC. x+9=16 O D. X-9=-16

Nathan, a registered nurse, is working on an admissions essay for a BSN program. Select the sentence from his draft that has a verb tense error. a.) I am very excited to see what the future holds for me. b.) I first started working at the hospital as a nurse more than 10 years ago c.) I think that my many years of experience in the nursing field will help me to be successful in this program. d.) I want to continue my nursing training and became a more advanced medical practitioner.

3. Model with Math Clare had t seashells. After she bought 8 more seashells, she had 24 seashells. Write and solve an equation to find the number of seashells Clare started with.

Lincoln, Nebraska lies directly north of Dallas, Texas. Lincoln is at a latitude of 40.5° N and Dallas is at a latitude of 32.5° N. Assuming the radius of the earth is 3,960 miles, how far apart are these cities?

Stacey purchased four concert tickets and paid more than $200. The amount she paid for each ticket was equal to the face value plus a $15 service charge. Select the inequality where x represents the possible face value of each ticket and the solution of that inequality. OA. 4(x+15) > 200 The face value of a ticket is at least $46.25. OB. 4x+15 > 200 O D. The face value of a ticket is at least $46.25. OC. 4(x+15) > 200 The face value of a ticket is at least $35.00. 4x+15 > 200 The face value of a ticket is at least $35.00.

3. After a dinner party, 1/5 of a casserole remained. The leftover casserole was shared equally among the three children in the family for their lunch the next day. How much of a casserole did each child get?

Brian paid a total of $46.44 for a jacket at a department store. The jacket was on sale for 20% off the regular price, and he used a coupon for an additional $5.00 off of the discounted price. Brian had to pay 8% sales tax on the cost of the jacket after any discounts and coupons. Select the equation where p represents the original price of the jacket and the solution of that equation. OA. 1.08(0.8(p-5)) = 46.44 The original price of the jacket was $58.75. OB. 1.08(0.8p - 5) = 46.44 The original price of the jacket was $58.75. OC. 1.08(0.8(p-5)) = 46.44 The original price of the jacket was $60.00. OD. 1.08(0.8p-5) = 46.44 The original price of the jacket was $60.00.

Which expression is not equal to 30? (9 x 10) (4+1) + 12 ÷ (2 x 60 ÷ 30) x (24 + 2) (12020) x (2+3) X 2+ (30-8 ÷ 4)

Suppose that $2500 is invested in an account that pays interest compounded continuously. Find the amount of time that it would take for the account to grow to $4000 at 4.25%. It would take approximately years. (Round to the nearest tenth.)

A pilot can travel 400 miles with the wind in the same amount of time as 352 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 235 miles per hour.

Which of the following is a polynomial function? Select all correct answers. Select all that apply: f(x) = 4.11x f(x) = 3.18x f(x) = 10.17x f(x) = -4x³ - 4x² + 5x+1 f(x) = -2x - 1

Which functions have graphs with a slant asymptote? Select all that apply. Select all that apply: f(x) = x+1 x² f(x) = 3x² 5x ☐ f(x) = 2/1/2 2x² ☐ f(x) = 2x²+1 43 □ f(x) = 3x³ x+1

The Lincoln Memorial has dimensions of 189.7 ft wide, 118.5 ft deep, and 99 ft tall. (The structure, not the statue of Lincoln.) Sam is making a model of this to use in a presentation in his American History class. If his model is 1 foot tall, what are the width and length dimensions? Image Source Lincoln Memorial, public domain Ow= 61.84 in, L = 158.48 in Ow= 1.92 ft, L = 1.20 ft Ow=18780.3 in, L= 11731.5 in Ow= .52 ft, L = .84 ft

What interest will be earned if $7000 is invested for 4 years at 11% compounded monthly? (Round your answer to the nearest cent.) $3864.39 X

Consider the graph of the function f(x) =x²-4/x²-12x+20 Find the x-value of the removable discontinuity of the function. Provide your answer below: The removable discontinuity occurs at x =

Let's "Texas Size" the "Rattlesnake" drink. The ratios are 32 parts Whiskey, 24 parts egg, 6 parts lemon, 2 parts sugar, and 1 part Absinthe. If I'm planning on making 65 gallons, how many gallons of Absinthe will I need? O2 gallons 32 gallons 1 gallon O 3 gallons

Saige invests $400 into an account with a 2.3% interest rate that is compounded semiannually. How much money will she have in this account if she keeps it for 5 years? Round your answer to the nearest dollar.

As Mercury revolves around the sun, it travels at a rate of approximately 30 miles per second. Convert this rate to kilometers per second. At this rate, how many kilometers will Mercury travel in 20 seconds? In your computations, assume that I mile is equal to 1.6 kilometers. Do not round your answers. Rate: Distance traveled in 20 seconds: km km

Select the correct function. In a finance company, there are two competing groups that are both vying for title of top earners. The first group's profits, in dollars, can be demonstrated by the following function, where x is the total number of hours the group works on a project. f(x) = -7.5x2 + 3,000 - 10,000 The second group's profits can be demonstrated by the following function, where x is the total number of hours the group works on a project. g(x) = -8.5x2 + 3,060* - 15,000 If both groups spend the same number of hours on a project, select the function which accurately represents the combined profits from both groups. h(x) = h(x) = g(x) + f(x) -16x2 + 6,060 - 25,000 h(x) = g(x) = f(x) h(x) - x2 60x + 5,000 h(x) h(x) = g(x) + f(x) - h(x) -16x2 + 60x - 25,000 h(x) = g(x) = f(x) = -x2 + 60x - 5,000

Use synthetic division to find the result when 3x3 - 10x² + 15x - 1 is divided by x + 2. Write your answer in the form q(x) + Provide your answer below: r(x) d(x)" where g(x) is the quotient, r(x) is the remainder, and d(x) is the divisor.

Approximate the following number using a calculator. 2)24 5 6.3 2.4 6.3 3(²)² = (Round to three decimal places as needed.) 5

Faith is saving money and plans on making monthly contributions into an account earning a monthly interest rate of 0.75%. If Faith would like to end up with $87, 000 after 7 years, how much does she need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer. A = d ((1 + i)” - 1)/i) A = the future value of the account after n periods d = the amount invested at the end of each period i = the interest rate per period n = the number of periods

Use this table to find the monthly mortgage payments, when necessary. Roberto has a mortgage of $81,500 at 7 % for 20 years. Find the total interest. 7-1⁄2% 2 O $76,153.60 O $82,345.85 O $88,201.93 O $94,226.02

One pipe fills a storage pool in 12 hours. A second pipe fills the same pool in 6 hours. When a third pipe is added and all three are used to fill the pool, it takes only 3 hours. Find how long it takes the third pipe to do the job. The third pipe can fill the pool alone in hours. *****

If the side lengths of a cube are dilated from 9 yards to 42 yards, find the scale factor that relates the area of one face of the original cube to a face of the scaled cube. . Write your answer as a number only. • Round your answer to two decimal places if necessary.

What method of factoring should first be used? 7wx² +6w Greatest Common Factor Trinomial Factoring Difference of Perfect Squares Does Not Factor

The muzzle velocity for a certain cartridge is 1500 ft/s for the starting load of 40 grains of powder. What is the final load to achieve a muzzle velocity of 1642.8 ft's, if the increase in velocity is 42 ft/s for eachbadditional grain of powder? 3.4 grains 36.6 grains 43.4 grains 42 grains

The angle of elevation of the sun is 39° from the ground. A business building downtown is 76 m tall. How long is the shadow cast by the building? Round to one decimal place if necessary and do not include units in your answer.

The expression for ordering brushes for an art class is 4c-5, where c is the class limit. Evaluate the expression when the class limit is 21. When the class limit is 21, the expression evaluates to

Students in a mathematics class are calculating the dimensions of a local billboard. They know that the perimeter of the billboard is 130 feet, and that the length of the billboard is 5 feet longer than twice the width of the billboard. Which student has chosen the correct formula to use to solve this problem? *** Choose the correct answer below. Julio has decided that OA. 130=2x + 2(2x + 5) will give the correct values. OB. Delia has written 130= x + (2x + 5). OC. Samnong has written 130 = x(2x + 5) for his formula. O D. Joel has used the formula 130= 2x + 2(2x - 5).

A can of MtDew has a mean volume of 12 oz, with a standard deviation of 0.29 oz. (a) What percent of cans will have less than 11.42 oz of soda? (b) What percent of cans will have between 11.71 and 12.58 oz of soda? (c) What percent of MtDew cans will have more than 12 oz? (include percent signs in your answers)

We are given that in a survey of 400 Latin music downloads, 200 were regional, 110 were pop-rock, 80 were tropical, and 10 were urban. First, calculate the relative frequency that a music download was pop-rock. Recall that the formula for the relative frequency of an event E is obtained by dividing the frequency of event fr(E) E by the number of trials. That is, P(E) = N The number N represents the number of trials, so N = pop-rock downloads, so fr(E) = download was pop-rock. P(E): = || fr(E) N We are interested in the frequency of Use these values to calculate the relative frequency that a 400

Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. Her first coupon was 20%. If she paid $30 for the shoes, what was the dollar amount taken off for the discount with the first coupon? Fill in the blank. She received a $ first coupon.* Your answer

Points X, Y, and Z are collinear with Y between X and Z. Use the following information to find the value of x; XY = 15 YZ = 2x XZ = 33 Show your work and explain the steps used to solve for the value of x.

Marcus and Tony work for Lombardo's Pipe and Concrete. Mr. Lombardo is preparing an estimate for a customer. He knows that Marcus lays a slab of concrete in 6 hours. Tony lays the same size slab in 4 hours. If both work on the job and the cost of labor is $43.00 per hour, decide what the labor estimate should be. The labor estimate should be $ ..…..

Consider the following. (Assume that the dice are distinguishable and that what is observed are the numbers that face up.) HINT [See Examples 1-3.] Two distinguishable dice are rolled; the numbers add to 6. Describe the sample space S of the experiment. (Select all that apply.) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (2,7) □ (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) □ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) O (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (1,7) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (3,7) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) (6,7) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (5,7) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (4,7) □ O List the elements of the given event. (Select all that apply.) (5,6) (6,5) (3,1) (2,2) (1,3) (5,1) (4,2) (3,3) (6,6) (1,1) (6,3) (5,4) (4,5) (3,6) □ (6,4) (5,5) (4,6) (5,1) (4,2) (3,3) (2,4) (1,5) □ (1,2) (2,1)

Triangle A has side lengths of 14 in, 12 in, and 6 in. Triangle B has side lengths of 7 in, 6 in, and 3 in. Which shows the proportions written correctly? O 14 7 O 14 6 = = 3 12 6 O 14 6 01/21 - 9 - 19/0 3 12 7/2²/2= 12-14-5 6 6

Two people deliver menus around the neighborhood for a new restaurant that just opened, with the person who delivers more receiving a $100 bonus. Melissa delivers 525 menus in three hours, and Carlos delivers 340 menus in two hours. Who gets the bonus?

A data survey representative calls phone numbers selected at random until someone answers the call. Each call has a 0.22 probability of someone answering it. Let N be the number of phone numbers the representative calls until someone answers. What type of variable is N? Choose 1 answer: (C) Binomial Geometric Neither

Kristen's financial advisor has given her a list of 12 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this? There are different ways Kristen can rank the four investments. (Type a whole number.)

George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 58 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box mi

Español A parachutist's rate during a free fall reaches 264 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 15 seconds of free fall? In your computations, assume that I meter is equal to 3.3 feet. Do not round your answers. Rate: Distance fallen in 15 seconds: m X 5 ?

In a recent international sport competition, the top three countries-Country A, Country B, and Country C-won a total of 120 medals. Country B won 10 more medals than Country C. Country A won 36 more medals than the total amount won by the other two. How many medals did each of the top three countries win? Country A won medals. Country B won medals. Country C won

Find the total amount a college student has in a savings account if $2,000 was invested and earned 4% compounded quarterly for 9 years. Use A = P 1+- The amount after 9 years will be $ (Do not round until the final answer. Then round to the nearest cent as needed.) ..... nt

In 2011, the population of a district was 31,600. With a continuous annual growth rate of approximately 2%, what will the population be in 2021 according to the exponential growth function? Round the answer to the nearest whole number. Provide your answer below: