Basic Math Questions and Answers

Marle Spector is the star basketball player on the University of Florida's women's basketball team. Marle has sprained her ankle and the team doctor estimates that there is a 50% chance that Marle will be well enough to play in the next game. The team coach estimates that with Marle, the team will score 80 points. Without Marle, the coach estimates the team will score 64 points. What Is the number of points the team can expect to score? 72 points 68 points 71 points 64 points

A machinist creates a solid steel part for a wind turbine. The part has a volume of 1,015 cubic centimeters. Steel can be purchased for $0.29 per kilogram and has a density of 7.95 g/cm³. If the machinist makes 500 of these parts, what is the total cost of the steel?

You are on a treasure-diving ship that is hunting for gold and silver coins. You reel in a wire basket that contains gold and silver coins, among other things. The basket holds no more than 50 pounds of material. Each gold coin weighs about 0.5 ounce, and each silver coin weighs about 0.25 ounce. You want to know the different numbers of each type of coin that could be in the basket. Write an inequality that models the weight in the basket. Give three solutions to the inequality you wrote above

Solve 9t2 + 30t + 25 = 36 by using the square root method. Enter each solution in the box below as a reduced fraction or integer. If there is more than 1 solution, separate the values with a comma (example: -3, 2).

A relative has set up an account for you to have access to in 15 years. The account is at a bank which pays 2% interest and compounds quarterly. If the original amount placed in the account is $10,000, how much will be in the account after 15 years?

If a 43.08 gram piece of brass which has a specific heat of 0.38 J/gºC absorbs 1,979.56 J of energy, how much did the temperature change? Round your answer to 2 numbers after the decimal and include the correct units.

Find all real solutions of the equation (4j-1)² = 25. Write your answers as a list of integers or reduced fractions in the form A/B. For example, if your answers 2/3 are and 5, you would enter 2/3,5

Solve 25t2-64-0 by using the square root method. Enter the solution(s) in the box below as reduced fractions or integers. If there is more than 1 solution, separate the values with a comma (example: 11/7, 11/7). The solution set fort is

The quadratic equation is in factored form. y = − 1.1(x+6)(x − 7) What are the x-intrecepts for the graph of this equation? Enter the left-most intercept first: Enter the right-most intercept next:

Consider a student loan of $15,000 at a fixed APR of 9% for 30 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.

Acme Life Insurance charges $650 for a $1,000,000 life Insurance policy. Historical research shows that 1 In 11,000 policyholders will dle and the company is forced to pay out $1,000,000. On average, what is the expected profit of Acme Life Insurance per policy? $649.94 $591.00 $559.03 $62.01

Jenny runs a daycare center and charges $60 per day for each child. There are currently 50 children enrolled at the daycare. At a recent conference, Jenny was advised to lower her rates in order to stay competitive in her area. For each price decrease of $4 per day, the number of children enrolled at the center increases by two. Write the equation that can be used to determine the number of price decreases, x, in dollars, for which the daycare center has a daily revenue of $2,800. A. (60-4x)(50 + 2x) = 2,800 B. (60-2x)(50 +4x) = 2,800 C. (60+ 2x)(50-4x) = 2,800 D. (60+4x)(50-2x) = 2,800

Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. He needs to buy 100 kg of chocolate in total for his next order. Dark chocolate costs $12 per kilogram, milk chocolate costs $10 per kilogram, and he wants to spend $1120 total. Let d be the number of kilograms of dark chocolate he buys and m be the number of kilograms of milk chocolate he buys. Which system of equations represents this situation?

An item is regularly priced at $95. It is now priced at a discount of 45% off the regular price. Use the ALEKS calculator to find the price now.

A ferris wheel is 20 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. What is the Amplitude? What is the Midline? y What is the Period? How High are you off of the ground after 4 minutes?

Sarah has two tests at school next week, a math test and a physics test. Let A represent the event that she passes her math test and B represents the event that she passes her physics test. If A and B are independent events with P(A) = 0.30. and P(A and B) = 0.21, find P(B). Give your answer as a decimal rounded to two decimal places.

Charlie has to carry 272 apples from a farm to the market. How many baskets will he need, given that each basket can hold 49 apples?

The height of a right cylindrical can of peas is greater than the diameter of the base of the can. The can is sliced into two equal parts through its bases. Which of the following figures BEST describes the cross section of the cylinder? A. circle B. rectangle C. triangle D. semicircle

In a large city's recent mayoral election, 131,506 out of 309,153 registered voters actually turned out to vote. If 20 registered voters are randomly selected, find the probability that 7 of them voted in the mayoral election. Use TI-84 (plus) calculator to find the binomial probability. Round your answer to three decimal places.

Nathan drew a circle on a grid with a radius of 4 units and the point (2, -1) as its center. Which of the following pairs of coordinates represent points on the circle? A (2,-5) and (6, -1) B. (4,0) and (0,4) C. (8,-4) and (6, -3) D. (2, 3) and (-1, -1)

Which of the following is NOT a characteristic of all parallelograms? a) Diagonal bisect each other b) Diagonals are angle bisectors c) Opposite angles are congruent d) Opposite sides are congruent

The Business Entity Concept means A business is an important legal entity Businesses can be stand alone or combined The entity is an profit earning business The accounting for a business is separate from that of its owners or other businesses .

Your grandparents invested $1500 in a college fund paying 7.2% interest when you were starting first grade. a) What is the equation that you would write to represent this situation? (annual interest, not compounded continuously) b) If you don't pull any money out of the account, how much money will you have when you enter college? Show the equation you used to answer this question. c) If you don't pull any money out of the account, how long will it take to reach $5000? Show your algebraic work.

A new motorcycle costs $5500 and depreciates at a rate of 18 % each year. How many years will it be until the motorcycle is worth $1000? (round to the nearest 3 decimal places)

Pietro is planning a patio using paving stones that are circles, semicircles, and quarter-circles. All stones have a radius of 10 inches. What is the area of one pattern of stones that has 5 circles, 10 semicircles, and 100 quarter-circles? Then, select the total area. total area= 8,164 in² 5 circles = 1,570 in² total area = 10,990 in² 5 circles= 2,198 in² 10 semicircles = 1,570 in² 100 quarter circles= 2,826 in² 100 quarter-circles = 7,850 in² 10 semicircles= 2,198 in²

Diane buys candy that costs $4 per pound. She will spend more than $20 on candy. What are the possible numbers of pounds she will buy? Use p for the number of pounds Diane will buy. Write your answer as an inequality solved for p.

A cone and a cylinder have the same radius and height. The volume of the cone is 100m cubic feet. What is the volume of the cylinder?

What is the sales tax on a jacket priced at $325 if the sales tax rate is 7%? The sales tax is $.

A pyramid has a height of 5 inches and a volume of 60 cubic inches. Which of the following figures could be the base for this pyramid? Select all that apply. A. a right triangle with one side 5 inches and the hypotenuse 13 inches. B. a 4-inch by 9-inch rectangle C, a circle with radius 4 inches D. a 3-inch by 4-inch rectangle E. a hexagon with an area of 36 square inches F. a square with side length 6 inches

A Toyota dealership receives a new shipment of Camrys and puts a sticker price of $23,485 in the window of each car. They arrived at this figure by marking up their cost for each car by 22%. What was the original cost that the dealership paid for the cars?

Boyle's law states that the volume of a gas varies inversely with applied pressure. Suppose the pressure on 60 cubic meters of gas is raised from 1 atmosphere to 3 atmospheres. What new volume does the gas occupy?

A town has an area of 10.4 mi². The town's population is 3619. What is the population density of the town? Round your answer to the nearest whole number. 37,368 people/mi² 348 people/mi² 1122 people/mi² 362 people/mi² None of the other answers are correct

According to Cavalieri's Principle, which pair of shapes would have equal volumes? A. a cylinder and a sphere with the same radius B. a cone and a pyramid with equal base areas and heights C. a cone and a cylinder with equal base areas and heights D. a cylinder and a right rectangular prism with equal heights

Carmen and Adela each spend the same amount of money at the dollar store. Carmen buys 3 bracelets and spends another $1.50 on candy. Adela buys one bracelet and a $5.00 hat. How much does one bracelet cost? A $1.17 B $1.50 C $1.75 D $2.00

Suppose you earn 3% on a $1,200 deposit for 5 years. Explain how the simple interest is affected if the rate is increased by 1%. What happens if the time is increased by 1 year?

Emily and Heather each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Emily spent $140 on 7 ft of grass sod and 10 geraniums. Heather spent $135 on 10 ft2 of grass sod and 5 geraniums. What is the cost of one ft2 of grass sod and the cost of one geranium?

An ant colony is growing according to an exponential growth model. The initial population of ants is 80 and after one day there are 92 ants. how many ants will be present after 30 days? * Approximately

Marcus finds that (3x² – 2y² +5x)+(4x² +12y²-7x) - 7x² - 10y²– 2x What error did Marcus make? He combined the terms 5x and -7x incorrectly. He combined the terms 3x² and 4x² incorrectly. He combined the terms -2y2 and 12y2 incorrectly. He subtracted the polynomials instead of adding.

Sani has at least 68 envelopes to address. He has addressed 17 of them. Write and solve an inequality that describes how many more envelopes, at most, Sani has left to address. n+ 172 68; n ≥ 85 n+ 17> 68; n> 51 n+ 17 ≤ 68; n ≤ 51 n+172 68; n ≥ 51

When treated with an antibiotic, 91% of all the dolphins are cured of an ear infection. If a group of 38 dolphins are treated with antibiotics, how many cured dolphins should be expected? The expected number of cured dolphins is

A county has a population density of 257 people per square mile. The county population is 4288. What is the area of this county? Round to the nearest square mile if necessary. None of the other answers are correct 1,102,016 mi² 283,218,112 mi² 6.5 mi² 16.7 mi^2

The geographic area of California is 1.637 x 105 sq. mi. The population of California, as of 2012, is approximately 3.804 x 107. What is the population density of California?? Note: Population/land area = population density. 232 per sq mi. 544 per sq mi. 3804 per sq mi. 1637 per sq mi

Central School is hosting a "Central Has Talent" show. They will award various prizes for the best 3 acts in the show. First place wins the most money, and each subsequent place after 1st wins $50 less than the previous place. Let x equal the amount of money first place wins. Which of the following expressions represents the total amount of prize money? Select all that apply.

Cher is making cupcakes for her class at school. She already has 12 cupcakes that she made yesterday and her teacher told her that she can bring fewer than 82 cupcakes into her class tomorrow. If each batch makes 8 cupcakes, what are the possible numbers of batches of cupcakes that Cher can make today for her class to be following the teacher's guidelines? Write an inequality to represent the number of possible batches Cher might make today. Use x for the variable.

Ruth's grandmother gave her a beautiful hand-carved cedar chest for storing sweaters. The chest is shaped like a rectangular prism and has a volume of 12 cubic feet. It is 3 feet long and 2 feet wide. Which equation can you use to find how deep the chest is, d? How deep is the chest?

The length of a rectangular picture is 5 inches more than three times the width. Find the dimensions of the picture if its perimeter is 74 inches.

A principal of $800 is placed in a savings account at 3.5% compounded annually. Use your equation to find how much money will be in the account after 6 years

A system has two linear equations with two variables. The graphs of the equations have the same slope and same y-intercepts. How many solutions does the system have? The system has infinite solutions because the equations are parallel. The system has one solution because the equations are perpendicular. The system has infinite solutions because the equations are intersecting, but not perpendicular. The system has one solution because the equations are coincident. The system has no solution because the equations are perpendicular. The system has no solution because the equations are coincident.

Abigail Henderson has $2130.00 budgeted for spending money on an upcoming trip to Country A and Country B. Country A's currency is trading at $1.40 per currency A, and Country B's currency is trading at $1.50 per currency B. She plans to spend more time in Country A, so she wants to have four times as much of currency A as currency B. Set up and solve a system of equations to model this problem, and explain what the answer means in practical terms

A survey of the community is conducted by asking the first 25 persons passing through the entrance gate to the football field if the school should drop the sports programs.