Set up and solve an equation for the following business situation. Suppose one-seventh of the employees of a certain company work in the Southeastern region. If the company employs 258 workers in that region, what is the total number of employees working for the company?

Q: Mary Jo spends $1,350 to buy stock in two companies. She pays $12 a share to one of the companies…

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Q: Sarah and Jason had some money. After earning $20 each, Sarah had twice as much money as Jason, and…

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Q: There are 45 boys and 61 girls signed up for camp. If an additional 5 boys and 3 girls sign up each…

A: The number of boys = 45. The number of girls =61 Let after n days the number of boys will be greater…

Q: How many gallons of 30% alcohol and 60% alcohol are needed to obtain a 20-gallon mixture which is…

A: Let x be the number of gallons of 30% alcohol. So, (20-x) will be the number of gallons of 60%…

Q: You have $20 to buy snacks for yourself and 4 friends. If you buy a bag of chips for each person,…

A: Let the price of each bag of chips is x. The total price of 4 such bags of chips is 4x. After…

Q: heldon, Leonard, Howard and Raj are each paid different salaries from the university with Sheldon…

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Q: A company hopes to expand their business by 36% in the coming year.  If they currently employ 21…

A: Given a company hopes to expand their business by 36% in the coming year and currently number of…

Q: a golf cource charges $52 for a round of golf using a set of their clubs, and $44 if you have your…

A: Calculation:From the given information, the amount gained by using the own set of clubs is ($52 –…

Q: The product of the current ages of Vanessa children is 360. If her oldest child is twice as old as…

A: Suppose, Vanessa has 2 children, whose ages are 2x, x such that: x < 2x  Given: x•2x = 360  So,…

Q: The sum of Jose and Maria's ages is twice the sum of their children's ages. How many children were…

A: In the given Question firstly make three equation and then solve and find Number of the children's…

Q: In 1990, the population of a country doubles compared to that of 1970. In what year will the…

A: To find out the year in which the population will be triple.

Q: Set up and solve an equation for the following business situation. Suppose a certain company sells…

A: Let x and y be the number of regular keyboards and wireless keyboards sold. It is given that the…

Q: A total of $10,000 is to be divided between Sean and George, with George to receive $3000 less than…

A: A total of $10,000 is to be divided between Sean and George, with George to receive $3000 less than…

Q: How much would Skylar have to pay in a month where she used 5 GB over the limit?

A: Cost of using 7GB data = 50 $Cost of using extra GB after consumption of 7 GB = 30 $ per GBa.)She…

Q: Three of the same cycles sell for $2,640. What is the dollar price of five of these same cycles?

A: Given that,Three of the same cycles sell for $2640 we have to calculate, what is thedollar price of…

Q: If the price of sneakers increases 6% per year, about how long will it take for the price to double?

A: Given ,  The price of sneakers increases 6% per year ,  We have to find the years that take for the…

Q: The number of players leaving the league can be calculated by the sum of doubling a number and 100…

A: Consider a number n. Here, the objective is to find the equation satisfying the given situation.

Q: Set up and solve an equation for the following business situation. Pitt's Pit Stop sold $15,598.50…

A: Given: sales price of regular gallon of gasoline=$3.30 sales price of premium gallon of…

Q: If the projected salary expenses is $600,000,000 and the number of employees is 4000, how many more…

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Q: Teddy gives Arman as many stickers as Arman has and Ryan as many as ryan has. After that, Arman…

A: Let T be the number of stickers Teddy have initially. Let A be the number of stickers Arman have…

Q: A group of friends went out for dinner and decided to split the cost of the bill equally. If each…

A:

Q: One safe investment pays 2% per year, and a more risky investment pays 14% per year. A woman who has…

A: Given,Total investment = $144000Income required per year = $10560

Q: The sum of Annie's, Bert's, and Chris's ages is 60. Annie is older than Bert by the same number of…

A: Let Annie, Bert and Chris present ages be A, B and C. Given A+B+C=60 Let Annie be older than Bert by…

Q: A group of friends agrees to share the cost of a $480,000 vacation condominium equally. Before the…

A: Given:Let x be the number of people who were in the original group of friendsBefore the purchase is…

Q: If Mr. Brown and his son together had 220 dollars, and Mr. Brown had 10times as much as his son, how…

A: Let son had $ x Mr. Brown had $ 10x Together they had $ 220

Q: If Mary makes $50 each day and Jane makes $60 each day, and they each spend 10% of their daily pay…

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Q: Rover's Friends provides dog-washing services. For each dog, supplies cost $3 and wages are $5. To…

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Q: A shopkeeper has enough money to buy 40 books, each costing ₹125.How many books he can buy if he…

A: Given Cost of each book = ₹125 A shopkeeper has enough money to buy 40 books

Q: Set up and solve an equation for the following business situation. Suppose one-ninth of a certain…

A: Given: One-ninth of a certain company's sales are made in New England and New England sales amount…

Q: A house and a lot are appraised at $224,400. If the value of the house is five times the value of…

A: Given: A house and a lot appraised at $224,400. The value of house is five times the value of the…

Q: Jeffrey, Zhang, and Megan invest $25,000, $13,000, and $17,000, respectively, to build a boat. After…

A: Given: Total inverstment of Jeffrey = $25,000 Zhang = $13,000 Megan $17,000

Q: Scott Mason purchased a 4 unit apartment building as an investment before he retired. From the rent…

A: Given that Scott Mason purchased a 4 unit apartment and pays out $800 for expenses. Suppose he…

Q: art to solve the following problems. is 14 years older than her little brother Ezekial. In 8 years,…

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: Bessy has 6 times as much money as Bob, but when each earns $6, Bessy will have 3 times as much…

A: There are two person Bessy and Bob. Consider the amount of money initially that Bob has x (in…

Q: Matt has twice as many stickers as David. How many stickers must Matt give David so that they will…

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Q: Determine when the cost of the two services will be the same amount, and what the price will be. One…

A: One cable television provider has $70 setup fee and charges $90 per month and another cable provider…

Q: Gwen is twice as old as Arni was when Gwen was as old as Arni is now. If Gwen is 24 years old now,…

A:

Q: You are offered a job as a set designer on two different movies. If company A offers to pay you $450…

A: Given that you are offered a job as a set designer on two different movies. If company A offers you…

Q: Acme Plumbing and Heating charges $45 for a service call plus $30 per hour.  If the company…

A: Explanation and solutions is given below....

Q: A truck traveled at an average speed of 60 miles per hour for 5 hours and had a fuel consumption…

A: Given that Average speed of truck is 60 miles per hour trip duration is 5 hours fuel consumption…

Q: Set up an equation and solve each of the following problems. Kent drives 270 miles in the same time…

A: Kent drives 270 miles in the same time that it takes Dave to drive 250 miles and Kent averages 4…

Q: Solve each problem. 1. Josh gave of his grapes to Bianca. Bianca gave - of grapes she received to…

A: Let number of grapes Josh originally had be x. Number of grapes Bianaca had=12x Number of grapes…

Q: If I have an exam which lasts 3 hours and there are 42 questions, 34 which are worth 2% and 8 that…

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Q: The band is holding a raffle this year and will give away four cash prizes of $100, $500, $1000, and…

A: Find your answer below

Q: Set up and solve an equation for the following business situation. Pitt's Pit Stop sold $15,868.50…

A: Consider the provided question, (a) Pitt's Pit stop sold $15,868.50 worth of gasoline. Gasoline is…

Q: In one class, homework is worth 25% of the final grade, each of 3 projects is worth 20%, and a final…

A: a) Homework is worth 25%  So, we have to find 25% of 88. (88*0.25)=22 Each project is worth 20% So,…

Q: A company has been forced to reduce its number of employees. Today the company has 33% fewer…

A: Given : Number of current employees = 335   Percentage of employees less than a year ago = 33%   To…

Q: Set up and solve an equation for the following business situation. Suppose a certain company sells…

A: Given ,  Suppose a certain company sells regular keyboards for $82 and wireless keyboards for $110.…

Q: A sugar molecule has twice as many atoms of hydrogen as it does oxygen and one more atom of carbon…

A: let the number of molecules of oxygen be x  Then the number of molecules of oxygen will be 2x and…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.