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1. The machine was operated for  4.5 hours

   A machine uses gasoline at a rate of 1/5 gallon per hour

   The number of hours it will take the machine to use 9/10 gallon can be calculated as follows

   1/5 = 1

   9/10= x

   cross multiply

   1/5x= 9/10

   0.2x= 0.9

   x= 0.9/0.2

   x= 4.5

   Hence the machine was operated for 4.5 hours

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