If a car moving at a constant rate travels (2x3-x2 - 4x + 3) km in (x2 - 2x + 1) hours, what is the rate of the car in km per hour? 4.

Q: The travel time between two cities is inversely proportional to the average speed. A train travels…

A: Let us suppose that s is the speed and t is the time. Since the travel time between two cities is…

Q: When a plane flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

A: When a plane flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

Q: Two cyclists start from the same point and ride in opposite directions. Onecyclist rides twice as…

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Q: Two cyclists leave towns 144 km apart at the same time and travel toward each other. One cyclist…

A: Given that two cyclist 114 km apart travel each other at same time one cyclist travel 6 km/h faster…

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

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Q: Two cyclists leaves town 184 kilometers apart at the same time and travel toward each other. One…

A: Please see the below picture for detailed solution.

Q: What would be the rate of increase of an island population of 1000 that has 30 births and 20 death?…

A: An island population of 1000 that has 30 births and 20 death. We need to calculate What would be the…

Q: What is the time needed to travel a distance of  10x2 + 3x − 4  miles if the rate is  5x + 4 mph?

A: Please refer the attached image for complete solution.

Q: Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's…

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Q: A car is moving at a constant rate (x³+5x22x-24) km in (x+4) hours. What is the rate of the car in…

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Q: Two cyclists start at the same point and travel in opposite direction. One cyclist travels 8 mi/ h…

A: Distance is measure of the length covered  in a particular interval of time. Speed is the rate of…

Q: same

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Q: Two cyclists leave towns 155 kilometers apart at the same time and travel toward each other. One…

A: Lets assume 2 cyclists are A and B. Distance (AB)=155km Time when they met t=5hours

Q: Two trains start at the same time from the same place and travel in oppositedirections. If the rate…

A: Let x and x+6 (miles per hour) be the speed of the first  train and second train respectively. Then…

Q: Two trains leave towns 1716 kilometers apart at the same time and travel toward each other. One…

A: The distance between two trains =1716 kilometers Let the rate of the faster train = x kilometer/hour…

Q: Two trains leave towns  471  miles apart at the same time and travel toward each other. One train…

A: Two trains leave towns 471 miles apart at the same time and travel toward each other. One train…

Q: The manager of a store determines that the price p (in pesos) for a dress is changing at a rate of…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: A boat travels 20 km upstream in a river in the same period of time as it takes to travel 30 km…

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Q: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on…

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Q: What is the time needed to travel a distance of 6x^2 - 17x + 12 miles if the rate is 3x - 4?

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Q: With the current, a motorboat can travel 84 miles in 2 hours. Against the current, the same trip…

A: Let average velocity of boat in still water be x mph. And average velocity of the current be y mph.…

Q: If they meet in 3 hours, what is the rate of each train

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Q: An airplane travels 5096 kilometers against the wind in 7 hours and 5796 kilometers with the wind in…

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Q: 4. If a car moving at a constant rate travels (2x3-x2-4x + 3) km in (x2 - 2x + 1) hours, what is the…

A: Given- Distance travelled by a car=2x3-x2-4x+3Time taken=(x-1)2 We have to find the rate of the car…

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: The age of a dog varies directly as its equivalent age in human years . If a 3 year-old is…

A: Let 'y' e the age of dog and 'x' e its equivalent agein human years. Then , according to question,…

Q: slower

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Q: When a plane flies with the wind, it can travel 4200 miles in 6 hours. When the plane flies in the…

A: Given, Distance covered when flying with the wind is, d1=4200 miles Time taken is t1=6 hours…

Q: A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

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Q: Two automobiles are 276 miles apart and start at the same time to traveltoward each other. They…

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Q: 7. If the distance traveled is (3x-2x2 + 3x +8) kilometers and the speed is (x+ 1) km/h, what is the…

A: according to question, distance=3x3-2x2+3x+8 speed=x+1 we have to find time

Q: he volume of a cone varies jointly as its height, and the square of its radius. If a cone with a…

A: Given: The volume of a cone varies proportional to its height and square of its radius. Volume of…

Q: A man rows a boat 500 feet upstream against a constant current in 10 minutes. He then rows 300 feet…

A: Let  Speed of current is x ft/min Speed of boat in still water is y ft/min   Now, Speed of boat in…

Q: What is the time needed to travel a distance of  12x2 + 17x − 5 miles if the rate is 3x + 5 mph?

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

Q: The time required for a crew of men to do a job is inversely proportional to the product of the…

A: Let the number of men be denoted by MLet the number of work hours each day be denoted by WLet T…

Q: An airplane travels 3040 kilometers against the wind in 4 hours and 3520 kilometers with the wind in…

A: Let the rate of the plane in still air is = x km/h and the rate of the wind is=y km/h So the speed…

Q: With the current, you can canoe 24 miles in 4 hours. Against the samecurrent, you can canoe only 3/4…

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Q: Two cyclists leave towns 184 kilometers apart at the same time and travel toward each other. One…

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Q: What is the time needed to travel a distance of  20x2 + 7x − 3 miles if the rate is 5x + 3 mph? hr

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Q: When a small plane flies with the wind, it can travel 800 miles in 5 hours. When the plane flies in…

A: Consider the average velocity of a plane be "x". Consider the average velocity of the wind be "y".…

Q: If you walk at 1 km/h down the aisle toward the front of a train that is moving at 60 km/h, what is…

A: We have,  you are moving at 1 km/h down the aisle toward the front of a train. and train is moving…

Q: With the current, a motorboat can travel 84 miles in 2 hours.Against the current, the same trip…

A: Let the velocity of boat in still water be a miles/hour and the velocity of current be b miles/hour.…

Q: A boat man rows to a place 50 miles distant and back in 18 hours back, find that he can row 3 miles…

A: The rate of the stream = 1/2 ( a-b ) miles / hour where a is the speed downstream and b is the speed…

Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

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Q: A car travels at a rate of (4x2 − 2). What is the distance this car will travelin (3x − 8) hours?

A: Car travel at rate of (4x2 − 2) which means in 1 hour car travel (4x2 − 2) units

Q: The distance that a body falls from rest is directly proportional to the square of the time of the…

A: Given data: Consider the distance traveled by a body is "y=144 ft", and time is "t". As per the…

Q: When a plane flies with the wind, it can travel 2160 miles in 3 hours. When the plane flies in the…

A: Let the average velocity of the wind = w miles per hour  Let the average velocity of the plane in…

Q: A jet travels 4074 miles against a jet stream in 7 hours and 5054 miles with the jet stream in the…

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Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

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