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The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation represent the number of times feliz can drive to or from work with the gas in his tank

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mhanifa

Answer:

[tex]\frac{1}{12}x = \frac{5}{6}\\ \\[/tex]

Step-by-step explanation:

Given:

  • Volume of fuel = 5/6
  • Volume of fuel used each time = 1/12
  • Number of travels to or from work = x

Since each time 1/12 of the tank is used, and initial volume is 5/6 of the tank, the equation will be:

  • [tex]\frac{1}{12}x = \frac{5}{6}\\ \\[/tex]

Solving the equation we get:

  • x = [tex]\frac{5}{6}[/tex]÷[tex]\frac{1}{12}[/tex]
  • x = [tex]\frac{5}{6}[/tex] × 12
  • x = 10

So Felitz can travel 10 times to/from work with 5/6 full tank

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