Use the four-step procedure for solving variation problems to solve: The heat loss of a glass window varies jointly as the window’s area and the difference between the outside and inside temperatures. A window 3 feet wide by 6 feet long loses 1200 Btu per hour when the temperature outside is 20° colder than the temperature inside. Find the heat loss through a glass window that is 6 feet wide by 9 feet long when the temperature outside is 10° colder than the temperature inside.

Q: To increase her endurance, a speed skater decides to include running as part of her workout. During…

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Q: If a car travelled 5 Kilometers an hour faster. it would take one hoür less to travel 210…

A: Let the original speed be x.Then, increased speed will be x+5Time taken with increased speed =…

Q: Use the four-step procedure for solving variation problems to solve: The illumination provided by a…

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Q: Two buses leave towns 302 miles apart at the same time and travel toward each other. One bus travels…

A: Buses travelling towards each other have an effective (relative) velocity of their added velocities.…

Q: The height that a ball bounces varies directly as the height from which it was dropped. A tennis…

A: The height that a ball bounces varies directly as the height from which it was dropped. That is, b α…

Q: Use the four-step procedure for solving variation problem to solve: y varies directly as x. y = 45…

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Q: You commute to work a distance of 40 miles and return on the same route at the end of the day. Your…

A: Given: The distance is 40 miles. The average rate on the return trip is 30miles per hour faster than…

Q: the distance a jet travels varies directly with the number of hours flown. A jet travels 1,350 miles…

A: From the given data

Q: Use the four-step procedure for solving variation problems to solve: Kinetic energy varies jointly…

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Q: he amount of charcoal a coal burner burns varies directly as the time taken for cooking. If the…

A: Given that the burner burns 600 gram in 20 minutes, then our aim is to calculate how much time does…

Q: Use the four-step procedure for solving variation problems to solve : The water temperature of the…

A: Let the water temperature be T°cand water's depth be h mAccording to question T α 1hT = chwhere c is…

Q: How to use the method of variation to solve the 2nd problem?

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Q: Heather has divided ​$5500 between two​ investments, one paying 8​%, the other paying 6​%. If the…

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Q: For a car moving at a constant speed, the distance traveled varies directly with the time spent…

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Q: Betty can mow a lawn in 40 minutes. Vanessa can mow the same lawn in 20 minutes. How long does it…

A: Solution :-

Q: Use the four-step procedure for solving variation problems to solve : The height that a ball bounces…

A: Let b and h be the bounce and height of the ball. Step 1: Writing the equation of the given…

Q: Use a sketch to illustrate the given situation and determine the solution. a. The ratio of U.S.…

A: (a)-According to question given that the ratio of U.S Citizens to Non citizensduring a given period…

Q: 2. Mary spent the first 12 miles of her road trip in traffic. When the traffic cleared, she was able…

A: Let the average speed in traffic be: x miles per hour Therefore the speed for the remaining 30 miles…

Q: The heat loss of a glass window varies jointly as the window's area and the difference between the…

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Q: The temperature of the water boils at 100 degrees Celsius and while cooling, the temperature of the…

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Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as x and z. y =…

A: y varies jointly as x and z. y=kxzk is the constant of proportionality

Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as m and the…

A: Write an equation that models the given statement.

Q: Use the four-step procedure for solving variation problems to solve: Radiation machines, used to…

A: Given that: Radiation machine, used to treat tumors, produce an intensity of radiation that varies…

Q: A hybrid car was driving 300 mi and used 6 gal of gasoline. At the same rate of consumption how far…

A: Given- A hybrid car was driving 300 mi and used 6 gal of gasoline.  To Find- The distance travelled…

Q: With the current, you can row 9 miles in 2 hours. Against the current, your return trip takes 6…

A: Distance = 9 miles Time with the current = 2 hours return time = 6 hours

Q: Solve the problem. Suppose that you are to cut a piece of ribbon for a wreath that is 96 inches long…

A: Let the length of the ribbon pieces are x and 3x.

Q: During a mock examination at a Senior High School in Ghana, there was a core mathematics question…

A: Write A as a function of r A∝r2, that is, A=kr2

Q: A hose fills a hot tub at a rate of 3.44 gallons per minute. How many hours will it take to fill a…

A: given rate of hose = 3.44 gallons per minute volume of hot tub = 342 gallons

Q: 2) Richard can run a distance of 25 kilometers within 2 hours. How long will It take him to run 8…

A: given: Richard can run a distance of 25 kilometers within 2 hours. we have to determine how long…

Q: A small pipe can fill a tank in 8 min more time than it takes a larger pipe to fill the same tank.…

A: Given Data The time to fill the tank by a small pipe is ts=(a+8) min. The time to fill the tank is…

Q: A Train travels 360 km at a uniform speed.If the speed had been 5 km / hr more, it would taken 1…

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Q: It takes Andrew 60 min to drive to work in the morning. He drives home using the same route, but it…

A: Given, it takes Andrew 60 min to drive to work in the morning. He drives home using the same route,…

Q: Use the four-step procedure for solving variation problems to solve : If all men had identical body…

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Q: The cost C of steel tubing varies jointly as its length L, in feet, and diameter D, in inches. If a…

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Q: A man decided to paint his house himself after office hours. He can paint 25 sq.m. per hour on the…

A: A man can paint 25 sq.m per hour, there is 900 sq.m space to be painted. Therefore the time required…

Q: The number of minutes needed to solve an exercise set of variation problems varies directly as the…

A: Let us denote, T= time (minutes), N= number of problems, P= number of people  working on the…

Q: how long will it take for her to have enough money for her project?

A: The compounded interest formula is expressed as A=P1+rnnt Where, P is initial amount, r is the…

Q: A train travels,a distance of 300 km at constant speed,if the speed of the train is increased by 5…

A: Lets take the original speed of the train is, v. The time the train will take to travel 300 km at…

Q: Ahmed can run 4.3 m/s and Khaled can run 6.7 m/s. Ahmed is given a head start of 24 meters since he…

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Q: The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is…

A: Given : The speed of a bicycle is 4.5 m/s

Q: Use the four-step procedure for solving variation problems to solve: The average number of daily…

A: As Given in the question, The average number of daily phone calls=C, Between two cities varies…

Q: Use the four-step procedure for solving variation problem to solve: y varies inversely as x. y = 12…

A: According to question, y varies inversely as x.y α 1x y = kx…

Q: An airplane flies with a constant speed of 3а. 840 km/h. How long will it take to travel a distance…

A: In this question, concept of speed is used. Speed The rate at which an object travels a certain…

Q: How long will it take the snail to travel 11 meters will it be more or less the 40 minutes?

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Q: A train leaves San Diego at 3:00 PM. A second train leaves the same city in the same direction at…

A: Given data are: Time at which First train leaves San Diego = 3:00 PM Time at which Second train…

Q: The maximum load of a horizontal beam that is supported at both ends varies jointly as the width and…

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Q: For a particular brand of coffee beans, the cost is proportional to the weight of beans You…

A: Cost of 7 ounces = $3.99  Therefore cost of 1 ounce = ($3.99/7)  Since $15 is spend to purchase the…

Q: Use the four-step procedure for solving variation problem: y varies directly as x. y = 65 when x =…

A: y =K×x ; where  K is the proportionality constant  as y=65 and x =5 we got: 65=k×5 k=13

Q: The number of kilograms of water in a human body varies directly as the mass of the body. A 90-kg…

A: Direct proportion is the relationship between two variables whose ratio is equal to a constant…

Q: The distance that a body falls varies directly as the square of the time that it is falling. If…

A: It is given that the distance a body falls varies directly as the square of the time. If distance of…