Solved: In Exercises 2948, set up an equation that can be

In Exercises 1-4, write the mathematical expression as a phrase. (There are several acceptable answers.) x + 5

In Exercises 1 4, write the mathematical expression as a phrase. (There are several acceptable answers.) x - 2

In Exercises 1 4, write the mathematical expression as a phrase. (There are several acceptable answers.) 2x - 3

In Exercises 1– 4, write the mathematical expression as a phrase. (There are several acceptable answers.) 3x + 5

In Exercises 516, write the phrase as a mathematical expression.5 less than x

In Exercises 5–16, write the phrase as a mathematical expression. 2 more than y

In Exercises 5–16, write the phrase as a mathematical expression. 4 increased by 3 times z

In Exercises 516, write the phrase as a mathematical expression.6 times x, decreased by 1

In Exercises 516, write the phrase as a mathematical expression.The product of 8 and w, increased by 9

In Exercises 516, write the phrase as a mathematical expression.5 less than twice a number

In Exercises 516, write the phrase as a mathematical expression.6 more than 4 times x

In Exercises 5–16, write the phrase as a mathematical expression. 8 increased by 5 times x

In Exercises 5–16, write the phrase as a mathematical expression. 12 decreased by s, divided by 4

In Exercises 516, write the phrase as a mathematical expression.The sum of 8 and t, divided by 2

In Exercises 516, write the phrase as a mathematical expression.Three times the sum of a number and 7

In Exercises 516, write the phrase as a mathematical expression.The quotient of 8 and y, decreased by 3 times x

In Exercises 1728, write an equation and solve.7 more than a number is 15.

In Exercises 1728, write an equation and solve.A number decreased by 3 is 8.

In Exercises 1728, write an equation and solve. The difference between a number and 4 is 20.

In Exercises 1728, write an equation and solve.Seven multiplied by a number is 56.

In Exercises 1728, write an equation and solve. Ten less than four times a number is 42.

In Exercises 17–28, write an equation and solve. Fourteen increased by 6 times a number is 32.

In Exercises 17-28, write an equation and solve. Twelve more than 4 times a number is 32.

In Exercises 17–28, write an equation and solve. Eight less than 3 times a number is 6 times the number, increased by 10.

In Exercises 1728, write an equation and solve.A number increased by 6 is 3 less than twice the number.

In Exercises 1728, write an equation and solve.A number divided by 4 is 12 less than the number.

In Exercises 1728, write an equation and solve. A number increased by 10 is 2 times the sum of the number and 3.

In Exercises 1728, write an equation and solve.Three times the difference of a number and 4 is 6 more than the number.

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGReimbursed Expenses When sales representatives for Pfizer Pharmaceuticals drive to out-of-town meetings that require an overnight stay, they receive $150 for lodging plus $0.50 per mile driven. How many miles did Joe Kotaska drive if Pfizer reimbursed him $255 for an overnight trip?

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGSales Commission Tito Sanchez receives a weekly salary of $400 at Andersons Appliances. He also receives a 6% commission on the total dollar amount of all sales he makes. What must his total sales be in a week if he is to make a total of $790?

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGJet Skiing At Action Water Sports of Ocean City, Maryland, the cost of renting a Jet Ski is $42 per half hour, which includes a 5% sales tax. Determine the cost of a half hour Jet Ski rental before tax.

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGPlumbing Supplies Home Depot has a sale offering 10% off of all plumbing supplies. If Amanda Miller spent $46.98 on plumbing supplies before tax, what was the price of the plumbing supplies she purchased before the discount?

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGCopying Ronnie McNeil pays 8. to make a copy of a page at a copy shop. She is considering purchasing a photocopy machine that is on sale for $250, including tax. How many copies would Ronnie have to make in the copy shop for her cost to equal the purchase price of the photocopy machine she is considering buying?

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGInvestment Marty Faegan received an inheritance of $12,000. If he wants to invest three times as much money in stocks as in mutual funds, how much money should Marty invest in mutual funds and in stocks?

In Exercises 29-48, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s). MODELINGScholarship Donation Each year, Andrea Choi donates a total of $1000 for scholarships at Mercer County Community College. This year, she wants the amount she donates for scholarships for liberal arts to be three times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGHomeowners Association Cross Creek Townhouses Homeowners Association needs to charge each homeowner a supplemental assessment to help pay for some unexpected repairs to the townhouses. The association has $2000 in its reserve fund that it will use to help pay for the repairs. How much must the association charge each of the 50 homeowners if the total cost for the repairs is $13,350?

In Exercises 29–48, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s). MODELING—Floor Area The total floor space in three barns is \(45,000 ft^2\). The two smaller ones have the same area, and the largest one has three times the area of the smaller ones. a) Determine the floor space for each barn. b) Can merchandise that takes up \(8500 ft^2\) of floor space fit into either of the smaller barns?

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGDimensions of a Deck Jim Yuhas is building a rectangular deck and wants the length to be 3 ft greater than the width. What will be the dimensions of the deck if the perimeter is to be 54 ft?

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGEndangered and Threatened Mammals According to the U.S. Fish and Wildlife Service, in the United States in 2009 the number of species of endangered mammals was 10 more than 4 times the number of species of threatened mammals. The sum of the number of species of endangered mammals and the number of species of threatened mammals was 85. Determine the number of species of endangered mammals and the number of species of threatened mammal.

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGCounting Calories According to The Step Diet Book, the number of steps it takes for a 150-lb person to burn off the calories from eating a cheeseburger and drinking a 12-oz soda is 11,040. The number of steps it takes to burn off the calories from eating a cheeseburger is 690 more than twice the number of steps it takes to burn off the calories from drinking a 12-oz soda. Determine the number of steps needed for a 150-lb person to burn off the calories from eating a cheeseburger, and from drinking a 12-oz soda.

In Exercises 29–48, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s). MODELING—Hurricanes Since 1966, the total number of hurricanes formed in the Atlantic Ocean in the months of September and November is 127. The number of September hurricanes is seven more than five times the number of November hurricanes. Determine the number of hurricanes formed in September and the number of hurricanes formed in November.

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGHurricanes Since 1966, the total number of hurricanes formed in the Atlantic Ocean in the months of September and November is 127. The number of September hurricanes is seven more than five times the number of November hurricanes. Determine the number of hurricanes formed in September and the number of hurricanes formed in November.

In Exercises 29–48, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s). MODELING—Enclosing Two Pens Chuck Salvador has 140 ft of fencing in which he wants to build two connecting, adjacent square pens (see the figure). What will be the dimensions if the length of the entire enclosed region is to be twice the width?

In Exercises 29–48, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s). MODELING—Dimensions of a Bookcase A bookcase with three shelves, as shown in the diagram on the top right, is to be built by a woodworking student. If the height of the bookcase is to be 2 ft longer than the length of a shelf and the total amount of wood to be used is 32 ft, find the dimensions of the bookcase.

In Exercises 29–48, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s). MODELING—Laundry Cost The cost of doing the family laundry for a month at a local laundromat is $70. A new washer and dryer cost a total of $760. How many months would it take for the cost of doing the laundry at the laundromat to equal the cost of a new washer and dryer?

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGCar Antitheft System Sandy Chang can save $92 per year off the price of her auto insurance premium by purchasing and installing a LoJack antitheft system. If the system costs $644, in how many years would the system pay for itself?

In Exercises 2948, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).MODELINGAirfare Rachel James has been told that with her half-off airfare coupon, her airfare from New York to San Diego will be $257. The $257 includes a 7% tax on the regular fare. On the way to the airport, Rachel realizes that she has lost her coupon. What will her regular fare be before tax?

In Exercises 29–48, set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s). MODELING—Golf Membership Malcolm Nulton has two options for membership to a golf club. Option A has an annual cost of $3300 for unlimited golf. Option B has an annual cost of $1500 plus $40 for each round of golf. How many rounds of golf would Malcolm have to play in a year for the two options to cost the same?

Income Tax Some states allow a husband and wife to file individual tax returns (on a single form) even though they have filed a joint federal tax return. It is usually to the tax-payers advantage to do so when both husband and wife work. The smallest amount of tax owed (or the largest refund) will occur when the husbands and wifes taxable incomes are the same. Mr. McAdamss 2011 taxable income was $34,200, and Mrs. McAdamss taxable income for that year was $36,400. The McAdamss total tax deduction for the year was $3640. This deduction can be divided between Mr. and Mrs. McAdams any way they wish. How should the $3640 be divided between them to result in each individual having the same taxable income and therefore the greatest tax refund?

Write each equation as a sentence. There are many correct answers. a) x + 3 = 13 b) 3x + 5 = 8 c) 3x - 8 = 7

Show that the sum of any three consecutive integers is 3 less than 3 times the largest.

Auto Insurance A driver education course at the East Lake School of Driving costs $45 but saves those under 25 years of age 10% of their annual insurance premiums until they are 25. Dan has just turned 18, and his insurance costs $100.00 per month. a) When will the amount saved from insurance equal the price of the course? b) Including the cost of the course, when Dan turns 25, how much will he have saved?

The relationship between Fahrenheit temperature (F) and Celsius temperature (C) is shown by the formula F = 9 5 C + 32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?