Problem 1E: Explain in your own words what it means for an equation to model a real-world situation, and give an... Problem 2E: In the formula I = Prt for simple interest. P stands for _____, r for _____, and t for _____. Problem 3E Problem 4E: Balsamic vinegar contains 5% acetic acid, so a 32-oz bottle of balsamic vinegar contains _____... Problem 5E Problem 6E: The formula d = rt models the distance d traveled by an object moving at the constant rate r in time... Problem 7E Problem 8E: SKILLS Using Variables Express the given quantity in terms of the indicated variable. 8. The sum of... Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E: Cell Phone Costs A cell phone company charges a monthly fee of 10 for the first 1000 text messages... Problem 23E: Average Linh has obtained scores of 82, 75, and 71 on her midterm algebra exams. If the final exam... Problem 24E Problem 25E: Investments Phyllis invested 12,000, a portion earning a simple interest rate of 412 per year and... Problem 26E: Investments If Ben invests 4000 at 4% interest per year, how much additional money must he invest at... Problem 27E Problem 28E Problem 29E: Salaries An executive in an engineering firm earns a monthly salary plus a Christmas bonus of 8500.... Problem 30E Problem 31E: Overtime Pay Helen earns 7.50 an hour at her job, but if she works more than 35 hours in a week, she... Problem 32E Problem 33E: A Riddle A movie star, unwilling to give his age, posed the following riddle to a gossip columnist:... Problem 34E: Career Home Runs During his major league career, Hank Aaron hit 41 more home runs than Babe Ruth hit... Problem 35E: Value of Coins A change purse contains an equal number of pennies, nickels, and dimes. The total... Problem 36E: Value of Coins Mary has 3.00 in nickels, dimes, and quarters. If she has twice as many dimes as... Problem 37E: Length of a Garden A rectangular garden is 25 ft wide. If its area is 1125 ft2, what is the length... Problem 38E Problem 39E: Dimensions of a Lot A square plot of land has a building 60 ft long and 40 ft wide at one comer. The... Problem 40E Problem 41E: Dimensions of a Garden A rectangular garden is 10 ft longer than it is wide. Its area is 875 ft2.... Problem 42E Problem 43E Problem 44E Problem 45E: Dimensions of a Lot A rectangular parcel of land is 50 ft wide. The length of a diagonal between... Problem 46E: Dimensions of a Track A running track has the shape shown in the figure, with straight sides and... Problem 47E Problem 48E Problem 49E: Framing a Painting Ali paints with watercolors on a sheet of paper 20 in. wide by 15 in. high. He... Problem 50E: Dimensions of a Poster A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of... Problem 51E Problem 52E Problem 53E: Length of a Shadow A man is walking away from a lamppost with a light source 6 m above the ground.... Problem 54E: Height of a Tree A woodcutter determines the height of a tall tree by first measuring a smaller one... Problem 55E Problem 56E: Mixture Problem What amount of pure acid must be added to 300 mL of a 50% acid solution to produce a... Problem 57E: Mixture Problem A jeweler has five rings, each weighing 18 g, made of an alloy of 10% silver and 90%... Problem 58E: Mixture Problem A pot contains 6 L of brine at a concentration of 120 g/L. How much of the water... Problem 59E: Mixture Problem The radiator in a car is filled with a solution of 60% antifreeze and 40% water. The... Problem 60E Problem 61E: Mixture Problem A bottle contains 750 mL of fruit punch with a concentration of 50% pure fruit... Problem 62E: Mixture Problem A merchant blends tea that sells for 3.00 an ounce with tea that sells for 2.75 an... Problem 63E: Sharing a Job Candy and Tim share a paper route. It takes Candy 70 min to deliver all the papers,... Problem 64E Problem 65E: Sharing a Job Betty and Karen have been hired to paint the houses in a new development. Working... Problem 66E: Sharing a Job Next-door neighbors Bob and Jim use hoses from both houses to fill Bobs swimming pool.... Problem 67E: Sharing a Job Henry and Irene working together can wash all the windows of their house in 1 h 48... Problem 68E: Sharing a Job Jack, Kay, and Lynn deliver advertising flyers in a small town. If each person works... Problem 69E: Distance, Speed, and Time Wendy took a trip from Davenport to Omaha, a distance of 300 mi. She... Problem 70E: Distance, Speed, and Time Two cyclists, 90 mi apart, start riding toward each other at the same... Problem 71E: Distance, Speed, and Time A pilot flew a jet from Montreal to Los Angeles, a distance of 2500 mi. On... Problem 72E: Distance, Speed, and Time A woman driving a car 14 ft long is passing a truck 30 ft long. The truck... Problem 73E: Distance, Speed, and Time A salesman drives from Ajax to Barrington, a distance of 120 mi, at a... Problem 74E: Distance, Speed, and Time Kiran drove from Tortula to Cactus, a distance of 250 mi. She increased... Problem 75E: Distance, Speed, and Time It took a crew 2 h 40 min to row 6 km upstream and back again. If the rate... Problem 76E: Speed of a Boat Two fishing boats depart a harbor at the same time, one traveling east, the other... Problem 77E: Law of the Lever The figure shows a lever system, similar to a seesaw that you might find in a... Problem 78E: Law of the Lever A plank 30 ft long rests on top of a flat-roofed building, with 5 ft of the plank... Problem 79E: Dimensions of a Box A large plywood box has a volume of 180 ft3. Its length is 9 ft greater than its... Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E: Dimensions of a Lot A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer... Problem 85E: Construction Costs The town of Foxton lies 10 mi north of an abandoned east-west road that runs... Problem 86E: Distance, Speed, and Time A boardwalk is parallel to and 210 ft inland from a straight shoreline. A... Problem 87E: Volume of Grain Grain is falling from a chute onto the ground, forming a conical pile whose diameter... Problem 88E: Computer Monitors Two computer monitors sitting side by side on a shelf in an appliance store have... Problem 89E Problem 90E Problem 91E: An Ancient Chinese Problem This problem is taken from a Chinese mathematics textbook called... Problem 92E Problem 93E Problem 94E: DISCUSS: A Babylonian Quadratic Equation The ancient Babylonians knew how to solve quadratic... format_list_bulleted