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Cecelia went on a hiking trip. The first day she walked 27 kilometers. Each day since, she walked (2)/(3) of what she walked the day before. What is the total distance Cecelia has traveled by the end of the 5^("th ") day? Round your final answer to the nearest kilometer. ◻ km

Cecelia went on a hiking trip. The first day she walked 2727 kilometers. Each day since, she walked 23 \frac{2}{3} of what she walked the day before.\newlineWhat is the total distance Cecelia has traveled by the end of the 5th  5^{\text {th }} day?\newlineRound your final answer to the nearest kilometer.\newline□ \square km \mathrm{km}

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Q. Cecelia went on a hiking trip. The first day she walked 2727 kilometers. Each day since, she walked 23 \frac{2}{3} of what she walked the day before.\newlineWhat is the total distance Cecelia has traveled by the end of the 5th  5^{\text {th }} day?\newlineRound your final answer to the nearest kilometer.\newline□ \square km \mathrm{km}
  1. Calculate first day distance: Determine the distance walked on the first day.\newlineCecelia walked 2727 kilometers on the first day.
  2. Calculate second day distance: Calculate the distance walked on the second day.\newlineOn the second day, she walked (23)(\frac{2}{3}) of the distance of the first day.\newlineDistance on the second day = (23)×27(\frac{2}{3}) \times 27 km = 1818 km
  3. Calculate third day distance: Calculate the distance walked on the third day.\newlineOn the third day, she walked (23)(\frac{2}{3}) of the distance of the second day.\newlineDistance on the third day = (23)×18(\frac{2}{3}) \times 18 km = 1212 km
  4. Calculate fourth day distance: Calculate the distance walked on the fourth day.\newlineOn the fourth day, she walked (23)(\frac{2}{3}) of the distance of the third day.\newlineDistance on the fourth day = (23)×12(\frac{2}{3}) \times 12 km = 88 km
  5. Calculate fifth day distance: Calculate the distance walked on the fifth day.\newlineOn the fifth day, she walked (23)(\frac{2}{3}) of the distance of the fourth day.\newlineDistance on the fifth day = (23)×8(\frac{2}{3}) \times 8 km = 5.333…5.333\ldots km\newlineSince we need to round to the nearest kilometer, this becomes 55 km.
  6. Calculate total distance: Calculate the total distance walked over the five days.\newlineTotal distance = Distance on the first day + Distance on the second day + Distance on the third day + Distance on the fourth day + Distance on the fifth day\newlineTotal distance = 27 km+18 km+12 km+8 km+5 km=70 km27 \, \text{km} + 18 \, \text{km} + 12 \, \text{km} + 8 \, \text{km} + 5 \, \text{km} = 70 \, \text{km}

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