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Emanuel was charged $32\$32$32dollar sign, 32 for a 1429 km14\dfrac29 \text{ km}14​9​​2​​ km14, start fraction, 2, divided by, 9, end fraction, space, k, m taxi ride. What was the cost per kilometer?

Respuesta :

 2 1/4, because you  have to divide 32 by 14 2/9 resulting in the the 14 2/9 to be 128/9 and then flipped, 9/128.Afterwards, cross out the the 32 and 128 since 32 is a factor of 128 to get 1 and 4.Then apply mutiplication 1/1 * 9/4= 9/4 or 2 1/4 
adioabiola

We are required to find the cost per kilometer of Emmanuel.

  • The cost per kilometre is $2.25 OR $2 and 25cents.

According to the question, the total cost of the journey = $32

The total distance covered during the journey =

14 2/9 km

Therefore, the cost per kilometre can be evaluated mathematically as follows;

Cost per kilometer = cost of the journey ÷ Distance of the journey

= 32 ÷ 14 2/9

By converting 14 2/9 to an improper fraction; we have;

  • = 32 ÷ 128 / 9

  • = 32 × 9/128

  • = (32×9) / 128

  • = 288 / 128

  • = 2 32/128

  • = 2.25 dollar per kilometer

Therefore, the cost per kilometer is $2.25

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