When two gears are mashed, The revolutions per minute (RPM) are inversely proportional to the number of teeth, as shown below. In one machine the RPM ratio of the large gear to the small gear is 5:8. The small gear has 225 teeth. In a second machine the largegear at 500 RPM and has 217 teeth. The small gear revolves at 700 RPM. RPM of large gear= number of teeth on small gear RPM of small gear= number of teeth on large gear   Find the number of teeth on the large gear of the first machine. __ Find the number of teeth of the small gear of the second machine. __

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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When two gears are mashed, The revolutions per minute (RPM) are inversely proportional to the number of teeth, as shown below. In one machine the RPM ratio of the large gear to the small gear is 5:8. The small gear has 225 teeth. In a second machine the largegear at 500 RPM and has 217 teeth. The small gear revolves at 700 RPM.

RPM of large gear= number of teeth on small gear

RPM of small gear= number of teeth on large gear

 

Find the number of teeth on the large gear of the first machine. __

Find the number of teeth of the small gear of the second machine. __ 

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