Basic Math question and answers for September 15, 2024
- Q A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to the one-way fare 100 passengers will find other means...
- Q The variables x and y. and y vary inversely, and y = 10 when z = 5.Write an equation that relates x and y. y = k/xThen find y when...
- Q Graph the solution of the following system.x-4y ?-42x+y?? 4
- Q Graph the solution of the following system.y ? 4x-3y<5/6x
- Q The product of twice a number and four is the same as the difference of seven times the number and 5/3 Find the number.
- Q Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.
- Q A new car worth $21,000 is depreciating in value by $3000 per year. Complete parts (a) through (6).a. Write a formula that models the car's value, y, in dollars, after...
- Q There are 170 adults and 225 children at a zoo. The zoo makes a total of $4,740 from the entrance fees, and the cost of an adult and a child...
- Q Meaghan goes to the grocery store to buy hot dogs and hamburgers for a cookout. She buys a total of 10 packages for a total of $37.40. If a package...
- Q A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $5 per acre. Seed for crop B costs $10 per acre. The...
- Q A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $10 per acre. Seed for crop B costs $20 per acre. The...
- Q Which of the following is the last step in solving a linear programming problem graphically?Identify the corner points by solving systems of linear equations whose intersection represents acorner point.Test all...
- Q Anthony's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented...
- Q Bob runs each lap in 7 minutes. He will run at most 12 laps today. What are the possible numbers of minutes he will run today?Use for the number of...
- Q Kevin is an auto mechanic. He spends 3 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than...
- Q A certain forest covers an area of 3500 km. Suppose that each year this area decreases by 6%. What will the area be after 5 years?
- Q In the lab, Dale has two solutions that contain alcohol and is mixing them with each other. He uses twice as much Solution A as SolutionB. Solution A is 17%...
- Q A company produces two types of TV stands. Type I has 6 drawers. It requires 3 single drawer pulls and 3 double drawer pulls. The company needs 75 hours of...
- Q A calculator company produces a scientific calculator and a graphing calculator. Long-term projections indicate an expected demand of at least 100 scientific and 80 graphing calculators each day. Because of...
- Q A plumbing company charges a $125 just to come out and respond to an emergency call, and an additional $30 for every hour they are working. Find a formula for...
- Q Easton is working two summer jobs, making $18 per hour tutoring and $9 per hour clearing tables. Last week Easton worked 4 times as many hours tutoring as he worked...
- Q A rental car company is running two specials. Customers can pay $20 to rent a compact car for the first day plus $14 for each additional day, or they can...
- Q Find the minimum and maximum values of z= 6x + 5y, if possible, for the following set of constraints.5x + 4y ? 20x+4y28x20, y 20Select the correct choice below and,...
- Q Sandy worked 5.9 hrs on Monday, 6.8 hrs on Tuesday, and 8.2 hrs on Thursday. If she earns $11.25 per hour, how much money did she make that week? (round...
- Q Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up...
- Q Solve.3?2x+3? 13Solve the inequality. Select the correct answer below, and if necessary fill in the answer box to complete your choice.A. The solution set is(Type a compound inequality.)B. There is...
- Q A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The second product's unit volume is...
- Q Lola needs to rent a ballroom for a formal event. Ballroom S charges $52.50 per hour and one-time rental fee of $500. Ballroom T charges $62.50 per hour and a...
- Q 4x - 5y = 73x - 4y = 6a. Multiply the first equation by -3 and the second equation by 4.b. Add the two equations, which eliminates x. Solve for...
- Q You are training for the upcoming bike and hike race. You plan on biking 8 miles each day and hiking 3 miles each day. By the end of the training...
- Q Scenario: Deb works in an office in Miami and makes $42/hr. She must get her suit dry cleaned everyday for $75. If she wants to make more than $260 a...
- Q You lose your electronic tag that you use to pay tolls on the highway in your city. It costs you $24 to replace the tag. The cost of one toll...
- Q Deshaun takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit hour, and at Pinewood, class fees are $115 per credit...
- Q Solve the system of equations by substitution.2x-9y = 135x + 4y = 6The solution of the system is x =(Type integers or simplified fractions.)and y=
- Q Solve the system by graphing.y = 5x +4y = 5x - 4Use the graphing tool to graph the system.
- Q Determine if each ordered pair is a solution of the system of equations given.3x + 5y = 19x-3y = -3a. (-3,2)b. (3,2)a. Is (-3,2) a solution to the linear system?
- Q Solve.2 |5x-2|-3=4Select the correct choice below and fill in any answer boxes within your choice.A. The solution set is.(Simplify your answer. Use a comma to separate answers as needed.)B. The...
- Q Which of the following systems of inequalities would produce the region indicated on the graph below?A v2 -x+4;y<x+2y20x20B. V-x+4y>x+2y20x20C. v?-x+4y2x+2y20x20D. V? -x+4;y<x+2y20x20
- Q A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 90 pounds. The truck is transporting70...
- Q How would you choose to reduce the systemshown to a 2 x 2? Explain why you would choosethis approach.-3x + y - 2z = 10 (1)5x - 2y - 2z...
- Q If f(x) = 5x + 6x, find each of the following.(a) f(0) (b) f(-5) (c) f(3)(a) f(0) = (Simplify your answer.)
- Q slope of 4, point = (3, -5)equation in point-slope form:equation in slope-intercept form:
- Q The cost of a gym membership varies directly with the amount of months you have the membership. If a 3 month membership to the gym costs $215, and Jackson would...
- Q Greta's Diner has a coffee club. If you join the club for a one-time fee of $12, it only costs $3 to buy a latte. If you choose not to...
- Q Yaster Wood has two plants that produce lumber used in manufacturing tables and chairs. In 1 day of operation, plant A can produce the lumber required to manufacture 24 tables...
- Q Investor Matt has $83,000 to invest in a CD and a mutual fund. The CD yields4% and the mutual fund yields an average of 8.5%. The mutual fund requires aminimum...
- Q Jesaki Furniture Company has two plants that produce lumber used inmanufacturing tables and chairs. In 1 day of operation, plant A can produce thelumber required to manufacture 22 tables and...
- Q A company has $10,290 available per month for advertising. Newspaperads cost $140 each and can't run more than 20 times per month. Radioads cost $370 each and can't run more...
- Q David runs a factory that makes Blu-ray players. Each R80 takes 8 ounces of plastic and 3 ounces of metal. Each D200 requires 4 ounces of plastic and 6 ounces...
- Q Zoey has a total of 16 coins. Some of her coins are dimes and some are nickels. The combined value of her dimes and nickels is $1.35. How many dimes...
- Q - For each boat he sells, Mick earns $149 in addition to 2% of the purchase price of the boat ascommission. If p represents the purchase price of the boat,...
- Q A computer backs up 324 megabytes of data in 5 minutes.Write an equation that represents the number of megabytes, m, that can be backed up in t minutes.m=64.8tWrite an equation...
- Q Sandy is upgrading her Internet service. Fast Internet charges $30 for installation and $46.45 per month. Quick Internet has free installation but charges $53.95 per month.Complete the equation that can...
- Q Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese.He learned an average of 130 new words per month when he lived...
- Q Complete the description of a real-world situation that could be modeled by the equation 20 +1.25x = 15 +2.5x. plus $1.25 per hour to keep a dog A pet sitter...
- Q A punch recipe requires 3 1/4 cups of orange juice. The recipe makes 4 quarts of punch. If you were to make10 quarts of punch, how many cups of orange...
- Q Graph this inequality:y < 3Plot points on the boundary line. Select the line to switch between solid and dotted. Select aregion to shade it.
- Q Maximize P = 2x-28y + 1 given the following constraints.y?3y+x?0y?x-2
- Q The cost per ounce of a drink, c, in cents, varies inversely as the number of ounces, n. Six ounces of the drink costs 60 cents per ounce. Find the...
- Q A car dealership wants to try out a new leasing arrangement, which will allow a buyer to trade a car back to the dealership for a certain amount of credit...
- Q Abigail has $400 in her savings account. She wants to keep at least $160 in the account. She withdraws $40 each week for food. Write and solve an inequality to...
- Q A dumpster in the shape of a rectangular prism has a volume of 528 cubic feet. The length of the dumpster is 5 feet lessthan twice the width w, and...
- Q A shop has one-pound bags of peanuts for $2.00 and three-pound bags of peanuts for $5.50. If you buy 5 bags and spend $17.00, how many of each size bag...
- Q The sum of two numbers is 56. The difference of the two numbers is 32. What are the two numbers.Let a be the larger number and y be the smaller...
- Q The number of women elected to the U.S. House of Representatives has increased nearly every Congress since 1985. In the 99th Congress, beginning in 1985, there were 22 female representatives....
- Q Leah and Christopher work at a dry cleaners ironing shirts. Leah can iron 25 shirts per hour, and Christopher can iron 15 shirts per hour. Leah and Christopher worked a...
- Q Kolby decided he wanted to go to the amusement park. The amusement park charges$8.00 for entry and $1.40 for each ride.Part AWrite an expression to represent this scenario where r...
- Q Frank plans to spend no more than $85 on plants for his front garden. He purchasessalvia and three azaleas. The azaleas cost $22 each.Let c be the cost for a...
- Q Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the linear function:I(x) = 1054x + 23,286where is the number of years after 1990.Which...
- Q A day-care center invests $25,000 to set up a new facility. The center plans to charge $550 per student per year. Write alinear model in the form y = mx...
- Q You take a package to the local shipping company. They charge a fixed base cost of $6 per package plus an additional $0.39 per pound. If P represents the number...
- Q Find a linear equation to model this real-world application:It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers. Thecompany has...
- Q Watch the video that describes solving a quadratic inequality.Click here to watch the video.Solve the inequality analytically. Support your answer graphically.9x-30x>-25The solution set is(Type your answer in interval notation. Use...
- Q A caterer offers a package that feeds up to 50 people for $1,500 and adds an additional charge of $24.75 for each additional person. Enter a linear model that represents...
- Q A manufacturer wishes to make tee-shirts for the band Dixie Chicks. They sell for $15 each.She must deliver all the tee-shirts in 20 days time. The manufacturer will first set...
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