Basic Math Questions and Answers

Renee is going bowling. The cost per game is $2.50. Renee will need to rent a pair of bowling shoes for $1.50. She can spend up to $16.00 to bowl and rent a pair of shoes. What is the maximum number of games that Renee can bowl?

The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 3 square flower beds, one on each side of the playground. The length of the playground is I and its width is w. The length of each side of the flower beds is a. Assume that the playground and beds do not overlap. The total fencing material required to fence the playground and all three flower beds is:

"The difference between the circumference and the sum of 6 feet and the radius is zero." Where C = the circumference (feet) r = the radius (feet) C-6+r C-6=r C/(6 + r) C/(6+r)=0 C-(6+r)=0 C-(6+r)

Eddie is practicing wind sprints during his summer break. He's able to run 100 meters in 28 seconds. If d represents distance and t represents time, write two equations that represent this proportional relationship: Start with the proportion: ___ = ___ Then solve for one of the variables: Then solve for the other variable:

Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for her childcare business. And for her lawn care business, she has to pay $275 for materials, and pays her associates $10 per hour. Write two functions, C(x) and L(x), to represent the amount of money she will need to run her childcare business and her lawn care business. Complete the equations by filling in the blanks. Childcare business: C(x) = Lawn care business: L(x) =

A gym charges $35 per month for full access to their workout equipment. Mrs. Lewis has a $140 gift certificate to the gym. For how many months can Mrs. Lewis work out using the gift certificate? A 3 months B. 4 months C. 5 months D. 6 months

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 6.5%, and the tax in the second city was 4%. The total hotel tax paid for the two cities was $480. How much was the hotel charge in each city before tax? Note that the ALEKS graphing calculator can be used to make computations easier. Second city: $ First city:

Select the correct answer. It is estimated that approximately one-half of all aluminum cans will be recycled each year. If a soft drink company produces 350,000 cans one year, how many cans are still in use after 4 years of recycling and re-using, using this function? Nt = 350,000(0.52)^t A. 87,500 B. 25,591 C. 175,000 D. 21,875

Rock music accounts for 64% of the CD sales of True Tones Record Company. If next year's production is planned at 300,000 CD's, estimate how many of the CD's will be of rock music? 150,000 200,000 240,000 500,000

manager of the customer service department of an e-commerce company wants to know the average hold time for customers who call the department. The department receives about 850 calls each hour. The following data set shows the hold time, in minutes, for 10 calls picked at random. 2, 1, 4, 5, 3, 3, 7, 4, 3, 2 Calculate the approximate hold time for all customers who call the customer service department. The approximate hold time for all customers who call the customer service department

Lucy has an unpaid balance of $1200 on her credit card. The credit card company requires a minimum payment of 4.5% and charges an annual interest rate of 30%. Calculate Lucy's minimum payment, the amount of interest paid that month, and her unpaid balance. Round each to the nearest cent. The minimum payment is $ The amount of interest paid is $ The unpaid balance is $

A real estate office pays its salespeople a weekly retainer of $220 plus a commission of 2.5% for the first $200 000 of the value of each property sold and 2% of each amount after that. Calculate the commission received if a house is sold for $540,000.

Outworkers who sew T-shirts together are paid a wage of $3 per hour plus $1.45 for each T-shirt sewn together. Calculate the average hourly wage for each of the following workers. A) Kellie, who sews 90 T-shirts over 8 hours B) Nicole, who sews 47 T-shirts over 6 hours C) David, who sews 116 T-shirts over 10 hours

A map is placed on a coordinate grid. Cincinnati is located at (5,4) and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? 15.4 16.6 16.2 15.8

Which statement is true? Point estimates are used to make Inferences about population parameters. When we use the population mean and proportion to summarize information about the entire population, we call them point estimates. The population mean and proportion are always equal to their corresponding point estimates. The sample mean and sample proportion of a population are called population parameters.

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to the starting point? 10 miles 9.8 miles 9.6 miles 9.4 miles

Cool Down 2-24 Is this a polynomial identity? Show that this is or is not a polynomial identity: (a + b)(a²-ab + b²) = a³ + b³

Find the equation of the axis of symmetry of the following parabola algebraically. y = 2x² + 32x + 136

Part 2: Complete these problems and show work clearly (formulas used and what values you typed into the calculator). When asked for, state your answers or findings in a complete sentence. Again, limited/no help from teacher, MathLab, Learning Commons for Part 1 and Part 2). 1. In October of 1981, average interest rates were the highest they've ever been in America: 18.3% on 30-year mortgages AND 16.7% on 15-year mortgages a. Without using the table, calculate the monthly payment for a loan of $175,000 for 30 years. State your answer in a sentence.

In a computer catalog, a computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch? 17 inches 16 inches 15 inches 14 inches

"Twice the amount of time Jenn ran was 15 minutes more than the amount of time Katie ran." Where J = amount of time Jenn ran (hours) K = amount of time Kati ran (hours) 2J+15= K 2J = K + 15 2J + (1/4)= K 2J = K+ (1/4) 2J+K= 15

Manny owns a home with a front and back lawn. The front lawn is the size of the back lawn. If she mows ½ of her front lawn and 3 of her back lawn, what fraction of her entire lawn was left unmowed?

Vicky and Bob went to a store to buy school supplies. Vicky spent a total of $22 on school supplies. She spent $13 on a book and spent the rest of the money on notebooks. The store sells notebooks for $1.50 each. Write an equation that can be used to find the number of notebooks Vicky bought. Use the variable v for the number of notebooks. Solve the equation and show your work.

Select all the studies in which the results may have been skewed by blas. a study with a significantly larger than expected standard deviation about the sample mean a study on the heights of a group of fourth graders, where 90% of the data fell below the population mean a study on employees' commute time, with 90% of the data falling within 1 standard deviation of the population mean a study of the popularity of a particular music genre, with a small standard deviation about the mean a study of the average annual rainfall, with 28% of the data having a z-score greater than 1 a study on the average life span of a type of plant, where 50% of the data fell above the population mean

Monica wants to invest $1200 in a savings account. Determine the interest rate (simple interest) required for Monica 's investment to double in value in 20 years. Round your answer to the nearest tenth of a percent.

Two rooms in a house are similar rectangles. Room A is 12 ft by 16 ft. The longer side of Room B is 4 ft shorter than twice the length of the shorter side of Room A. What are the dimensions of Room B? A 15 x 20 B. 16 × 20 C. 16 x 16 D. 14 x 16

Using the completing-the-square method, rewrite f(x) = x² + 10x + 7 in vertex form. f(x) = (x + 5)² - 18 f(x) = (x + 10)² +25 f(x) = (x + 5)² +7 f(x)=(x + 5)²

A map has a scale of 1 in.: 25 mi. Two cities are 175 mi apart. How far apart are they on the map? A. 3 in. B. 5 in. C. 6 in. D. 7 in.

Find the final amount of money in an account if $2, 300 is deposited at 3% interest compounded weekly and the money is left for 9 years. The final amount is $

Let's suppose the days in the hospital of admitted Covid-19 patients are uniformly distributed between 3 to 18 days. Find the days in the hospital of the middle 50%. Round answer(s) to two decimal places.

The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is twice the smallest angle and the third angle is 24° greater than the smallest angle. A. 31°,620,87° B. 27°,54°,99° C. 390,780,63° D. 27°,51°, 102°

A washer and a dryer cost $750 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?

You have 992 grams of a radioactive kind of mercury. If its half-life is 47 days, how much will be left after 94 days?

Fill in the blanks with the correct vocabulary term from this unit. The ___. refers to the amount you can fit inside of a shape. For example, how much paint to cover a wall, or how much grass seed to plant to cover a backyard The___refers to the distance to go all the way around a shape. For example, how much fence you need around your front yard, or how many holiday lights you need to hang up around a window.

Suppose I'm thinking of two different positive numbers. Choose the correct translation of the following into symbolic algebra: "The product of the two numbers is equal to eleven more than the larger number." where x = the smaller number y = the larger number xy = y +11 xy=x+11 x/y + 11 = y xy + 11 = y x-y = 11 x+y=11

The world population in 2000 was approximately 6.08 billion. The yearly rate of increase was about 1.0126. a. Find the a and the b for this problem. a = b = b. Write the equation that models this situation. c. Find the world population in 2019. y = Population: d. Your friend wants to use x = 2030 to find the world population in 2030. Do you agree or disagree with her and explain why.

Select the correct answer from each drop-down menu. A couple took out a 5-year $30,000 loan to pay for for their wedding. After 5 years, the loan payments they had made to the bank amounted to $38,250. The interest rate on the loan, compounded continuously, is %. If they had taken an 8-year loan instead of a 5-year loan, they would have paid approximately $ more.

A car parts company wishes to find the defect rate of a certain part. Of 346 items tested, 12 are found to be defective. Use this data to construct the 98% confidence interval for the proportion of all such items that are defective. 0.0345 < p < 0.0349 0.0110 < p < 0.0584 0.0118 < p < 0.0576 0154 < p < 0.0540

A local office supply store charges $20 to set up business cards and $0.25 in materials per business card to print. Write an equation that could represent an expression for the average cost A(x) of printing a batch of x business cards. (Look at lesson 2-18 p 202 and lesson 2-20 pg 216. Remember that we can break up the function into two fractions.) What is the price per card when you order 100 business cards? What is the price per card when you order 1000 cards? What is the price approaching as you make more and more cards?

Determine the x-intercepts of the following equation. (-x+5)(x+2) = y

Show complete work on your worksheet! You many use the !, nCr and nPr functions on your calculator to CHECK your calculations, but you must show the formulas with appropriate values substituted in first. There are 15 members on a city council. On a recent agenda item, 8 of the council members voted in favor of a budget increase. How many possible groups of council members could have voted in favor? Permutation Combination n= T= There can be groups.

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legionaries and 3 archers. It only costs 3 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier? Choose 1 answer: Yes; a legionary costs 1 denarius per day to support, and an archer costs 2 denarius per day to support. Yes; a legionary costs 2 denarius per day to support, and an archer costs 4/3 denarius per day to support. No; the system has many solutions. No: the system has no solution.

A cereal company packs its oatmeal into cylindrical containers. The height of each container is 10 inches, and the radius of the bottom is 5 inches. What is the volume of the container to the nearest cubic inch?

Choose the answer that describes the set of ordered pairs below. Be prepared to justify your answer. {(Ford, blue), (Nissan, red), (Toyota, silver), (Subaru, black), (Chevy, blue), (Volvo, red)} A function with domain of (Ford, Nissan, Toyota, Subaru, Chevy, Volvo} A relation with domain of {Ford, Nissan, Toyota, Subaru, Chevy, Volvo} A function with domain of (blue, red, silver, black} A relation with domain of {blue, red, silver, black}

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a total weight of 162 kilograms. A delivery of 5 large boxes and 2 small boxes has a total weight of 117 kilograms. How much does each type of box weigh? Weight of each large box: kilogram(s) Weight of each small box: kilogram(s)

The standard deviation of the mass of 50 mice in a normal population is 5 g. How many mice are within one standard deviation of the mean?

Fiona's Fashion Store is world renowned for its buttoned uniforms. A collection of 36 shirts and 42 jackets contains 842 buttons. A collection of 6 shirts and 7 jackets contains 137 buttons. Each shirt has the same number of buttons, and each jacket has the same number of buttons. How many buttons are there in a Fiona's Fashion shirt, and how many buttons are there in a jacket?

Beth bought 15 tickets to a movie, where adult tickets cost $6.00 and senior citizen tickets cost $4.00. She spent a total of $76. Which system of equations will determine the number of adult tickets, a, and the number of senior citizen tickets, s, Beth purchased? a. a + s = 76 6a + 4s = 15 c. a+s=15 4a + 6s = 76 b. a + s = 15 6a + 4s = 76 d. a + s = 76 6a + 4s = 15

If the population of a country increases at a rate of 1.5% annually and its current population is 430,000, how many years will it take for the population to triple? A. 74 years B. 3 years C. 2 years D. 150 years

Given the equation solve for x and identify if it is an extraneous solution. x = 4, solution is extraneous x = 4, solution is not extraneous x = 5, solution is extraneous x = 5, solution is not extraneous