A candle is lit and the length of the burning candle changes at a constant rate of -1.8 inches per hour. 3 hours after the candle was lit the candle was 8.4 inches long. Determine how long the candle was before it was lit.

Q: A 25-year old woman burns 300 – 70t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: A weather forecaster says the temperature is changing at a rate of -8 per hour. At this rate , how…

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Q: The height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per…

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Q: The interest on an investment varies directly as the rate of interest. If the interest is $40 when…

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Q: A 25-year old woman burns 200 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

A: Here I am attaching image so that you understand each and every step.

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: same

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Q: Today it has already rained 2 inches and continues to rain at a rate of ¼ inch per hour. How many…

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Q: A small motorboat travels 16mph in still water. It takes 6 hours longer to travel 52 miles going…

A: To find the rate of current.

Q: It takes you 36 seconds to walk  from the first floor of a building to the third floor .how long…

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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: An airplane travels 3642 kilometers against the wind in 6 hours and 4662 kilometers with the wind in…

A: Determine the rate per km hour  we determine distance travel per hour .

Q: It takes you 36 seconds to walk from the first ground floor of a building to the third floor. How…

A: Given that  Time taken by walk from ground floor to first floor is 36 sec

Q: An airplane is flying at an altitude of 6 miles and passes directly over a radar station. When the…

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Q: A runner in a marathon passes the 7-mile mark at 1 o'clock and the 23-mile mark at 3 o'clock. What…

A: I will do second question :

Q: A small motorboat travels 11 mph in still water. It takes 6 hours longer to travel 35 miles going…

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Q: A woman making $2500 per month has her salary reduced by 10% because of sluggish sales. One year…

A: Concept,When there is a decrement in a value by r% then it's new value is given by formula  - A =…

Q: A 25-year old woman burns 250 – 30t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: A boat moves 7 kilometers upstream in the same amount of time it moves 19 kilometers downstream. If…

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Q: The amount of caffeine in the bloodstream decreases by 24% every hour. A can of Rock Star energy…

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Q: A plane can fly 220 mph in calm air. Flying with the wind, the plane can fly 960 mi in the same…

A: Given Plane speed =220 mphPlane can fly with the wind = 960 miPlane can fly against the wind = 800…

Q: 2. A modern jet plane can go 400 mph more than twice as fast as a diesel powered train. If the train…

A: In the question it is asked to calculate the rate of each modern jet plane and train, which also…

Q: Ella's motorboat can travel 35mi/h in still water. If the boat can travel 6 miles downstream in the…

A: Given:-Speed of motorboat in still water                = 35mi/h

Q: A motorboat travels 93 kilometers in 3 hours going upstream. It travels 123 kilometers going…

A: Given that: Motor boat goes 93 km in 3 hrs upstream and 123 km going downstream in same time.

Q: The US annual per capita consumption of coffee was 33.4 gallons in 1970. By 2007, the amount had…

A: To find the average rate of change in coffee consumption per capita from 1970 to 2007

Q: A plane can fly 170 mph in calm air. Flying with the wind, the plane can fly 555 mi in the same…

A: Given that a plane can fly 170 mph in calm air. Flying with the wind, the plane can fly 555 miles in…

Q: The volume of a cube is increasing at 24 cubic inches per minute. What is the rate of change of its…

A: Recall:  Volume of the cube = a3 ; where 'a' is the sides of the cube.

Q: 00:00 Meg laid 15 tiles in 50 minutes. Jessica worked for 85 minutes at a faster rate per tile than…

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Q: A bus driver follows a morning route and an afternoon route each day. Because there are more cities…

A: Given that: Average speed on the morning route is 12 mi/hr less than afternoon route.Distance…

Q: A motorboat travels 140 miles in 5 hours going upstream. It travels 210 miles going downstream in…

A: Let the motorboat speed x and current speed is y Current is going in downstream

Q: A plane can fly 160 mph in calm air. Flying with the wind, the plane can fly 696 mi in the same…

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Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline…

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Q: A motorboat takes 4 hours to travel 128 miles going upstream. The return trip takes 2 hours going…

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Q: A scuba diver dove from the surface of the ocean to an elevation of -49. feet at a rate of -14.3…

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

A: Heat loss through the window is generally depends on the Area of the window and Temperature…

Q: A motorboat travels 132 miles in 4 hours going upstream. It travels 244 miles going downstream in…

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Q: The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total…

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Q: A 25-year old woman burns 400 – 50t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: A motorboat can maintain a constant speed of 37 miles per hour relative to the water. The boat makes…

A: Let the speed of the current is x. so the speed of the boat during the trip upstream will be 37-x.…

Q: The distance between the dock and the boat is decreasing by feet per second when the boat is 2 feet…

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

A: Given that the heat loss varies jointly as the area of the window and the difference between inside…

Q: Jan's electric biltis averaging $10 per day mostly due to the air conditioner. By settng the AC to a…

A: Given that: Previous electric bill average = $10 per day Current electric bill average = $7 per day…

Q: A woman making $1500 per month has her salary reduced by 10% because of sluggish sales. One year…

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Q: er evaporates from a bucket , it’s weight changes at a rate of -1 3/8 ounces per day How much will…

A: Introduction: In mathematics, functions are the most fundamental aspect of calculus. Functions are…

Q: 6520

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Q: At what rate is a car traveling if it goes 157.5 miles in 2.5 hours?

A: Given ,Distance travelled by car, d=157.5 milesTime taken, t=2.5 hours

Q: A boater travels 45 miles per hour on the water on a still day. During one particularly windy​ day,…

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Q: A motorboat takes 3 hours to travel 108 miles going upstream. The return trip takes 2 hours going…

A: Let x be the speed of a motorboat in still water and y be the current rate.

Q: A boat travels 54 mi upstream against the current in the same amount of time it takes to travel 138…

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