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Hank enjoys hiking along the river. There are three trails close to his house to choose from. Trail A is 6 815 miles long. Trail B is 6 15 miles. Trail C is 6 23 miles. Which list has the trails in order from longest to shortest?(1 point) Responses B, A, C B, A, C A, B, C A, B, C C, B, A C, B, A C, A, B

5 answers

To compare the lengths of the trails, we first need to clarify the lengths given for each trail:

  • Trail A: 6,815 miles
  • Trail B: 6,15 miles (which seems to be a typo; assuming it is 615 miles)
  • Trail C: 6,23 miles (assuming this is also a typo and just represents 623 miles)

Now, we can list the trails in order from longest to shortest based on the corrected lengths:

  • Trail A: 6,815 miles (Longest)
  • Trail C: 623 miles
  • Trail B: 615 miles (Shortest)

So the correct order from longest to shortest is: A, C, B.

The correct response from your options is: A, C, B.

Hank enjoys hiking along the river. There are three trails close to his house to choose from. Trail A is 6 8/15 miles long. Trail B is 61/5 miles. Trail C is 6 2/3 miles. Which list has the trails in order from longest to shortest?(1 point) Responses B, A, C B, A, C A, B, C A, B, C C, B, A C, B, A C, A, B

To compare the lengths of the trails given in mixed numbers and fractions, we first convert them to improper fractions or decimal form for easier comparison.

  1. Trail A: 6 8/15 miles

    • Convert to an improper fraction: \[ 6 \frac{8}{15} = \frac{6 \times 15 + 8}{15} = \frac{90 + 8}{15} = \frac{98}{15} \approx 6.53 \]

  2. Trail B: 61/5 miles

    • Convert to a decimal: \[ \frac{61}{5} = 12.2 \]

  3. Trail C: 6 2/3 miles

    • Convert to an improper fraction: \[ 6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} \approx 6.67 \]

Now, we can compare the approximate decimal values of each trail:

  • Trail A: 6.53 miles
  • Trail B: 12.2 miles
  • Trail C: 6.67 miles

Ordering them from longest to shortest:

  1. Trail B: 12.2 miles (Longest)
  2. Trail C: 6.67 miles
  3. Trail A: 6.53 miles (Shortest)

Thus, the order from longest to shortest is: B, C, A.

However, this option is not present in the responses you provided. The correct list of trails in order from longest to shortest is:

B, C, A.

If we follow the available response options more closely, the longest to shortest trails based on the provided lengths are not directly represented, so the closest applicable choice to the established order would need to be mentioned.

Please double-check the provided options, as none of them specifically match the correct order (B, C, A).

wrong

I apologize for the confusion in my response. Let’s carefully go through the trails again to compare their lengths accurately.

Trail Lengths:

  1. Trail A: 6 8/15 miles

    • Convert to an improper fraction: \[ 6 \frac{8}{15} = \frac{6 \times 15 + 8}{15} = \frac{90 + 8}{15} = \frac{98}{15} \]
    • Decimal equivalent: \[ \frac{98}{15} \approx 6.5333 \text{ miles} \]

  2. Trail B: \( \frac{61}{5} \) miles

    • Decimal equivalent: \[ \frac{61}{5} = 12.2 \text{ miles} \]

  3. Trail C: 6 2/3 miles

    • Convert to an improper fraction: \[ 6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} \]
    • Decimal equivalent: \[ \frac{20}{3} \approx 6.6667 \text{ miles} \]

Comparison of Lengths:

  • Trail A: Approximately 6.53 miles
  • Trail B: 12.2 miles
  • Trail C: Approximately 6.67 miles

Order from Longest to Shortest:

  1. Trail B: 12.2 miles
  2. Trail C: 6.67 miles
  3. Trail A: 6.53 miles

So, the correct order from longest to shortest is:

  • B, C, A

It seems I misunderstood your previous message regarding the right answer. Given the provided options, if we were to list from longest to shortest without error, it would be (not provided in the original response). Given that, I explicitly state that the correct order is:

  • B, C, A, but you should select based on your response format if looking for just B first followed by C or A.

If you have any specific responses still unclear, please let me know!