michelle180 michelle180
  • 03-06-2018
  • Mathematics
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Mr. Nelson drove for 6 2/3 hours at an average of 57 mph. How far did he drive?

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gmany
gmany gmany
  • 03-06-2018
[tex]6\dfrac{2}{3}=\dfrac{6\cdot3+2}{3}=\dfrac{20}{3}\\\\v=\dfrac{s}{t}\\\\v=57mph;\ t=\dfrac{20}{3}h;\ s=?[/tex]

substitute

[tex]\dfrac{s}{\frac{20}{3}}=57\ \ \ |\cdot\dfrac{20}{3}\\\\s=57\cdot\dfrac{20}{3}\\\\s=19\cdot20\\\\s=380\ miles[/tex]

Answer: 380miles.
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