A track team needed to run or jog 20 laps for their practice. Of the total 20 laps, Sara completed 4/5, Jamie completed 5/8, Keenan completed 5/9, Maya completed 0.833, and Trey completed 0.875. Identify the descending numeric order of the laps completed. Be sure to input the original form of each number.

3 answers

To compare the laps completed by Sara, Jamie, Keenan, Maya, and Trey, we will convert each of their results to fractions of the total 20 laps.

  1. Sara completed \( \frac{4}{5} \) of the total laps: \[ \text{Laps by Sara} = \frac{4}{5} \times 20 = 16 \]

  2. Jamie completed \( \frac{5}{8} \) of the total laps: \[ \text{Laps by Jamie} = \frac{5}{8} \times 20 = 12.5 \]

  3. Keenan completed \( \frac{5}{9} \) of the total laps: \[ \text{Laps by Keenan} = \frac{5}{9} \times 20 = \frac{100}{9} \approx 11.11 \]

  4. Maya completed \( 0.833 \) of the total laps: \[ \text{Laps by Maya} = 0.833 \times 20 \approx 16.66 \]

  5. Trey completed \( 0.875 \) of the total laps: \[ \text{Laps by Trey} = 0.875 \times 20 = 17.5 \]

Now we list the total laps completed by each runner:

  • Sara: 16 laps
  • Jamie: 12.5 laps
  • Keenan: \( \frac{100}{9} \) laps (approximately 11.11)
  • Maya: approximately 16.66 laps
  • Trey: 17.5 laps

Now we will sort them into descending order:

  1. Trey: 17.5 laps (0.875)
  2. Maya: approximately 16.66 laps (0.833)
  3. Sara: 16 laps (4/5)
  4. Jamie: 12.5 laps (5/8)
  5. Keenan: approximately 11.11 laps (\( \frac{5}{9} \))

In original forms, the laps completed in descending order are:

  1. Trey: 0.875
  2. Maya: 0.833
  3. Sara: \( \frac{4}{5} \)
  4. Jamie: \( \frac{5}{8} \)
  5. Keenan: \( \frac{5}{9} \)

So the final answer in descending order is:

  • 0.875
  • 0.833
  • \( \frac{4}{5} \)
  • \( \frac{5}{8} \)
  • \( \frac{5}{9} \)
A track team needed to run or jog 20 laps for their practice. Of the total 20 laps, Sara completed 4/5, Jamie completed 5/8, Keenan completed 5/9, Maya completed 0.833, and Trey completed 0.875. Identify the descending numeric order of the laps completed. Be sure to input the original form of each number. label the number 1-5

To find the descending order of the laps completed by each member of the track team, we'll calculate the total laps each completed based on the forms provided and then list them accordingly.

  1. Sara completed \( \frac{4}{5} \) of 20 laps: \[ \text{Laps by Sara} = \frac{4}{5} \times 20 = 16 \]

  2. Jamie completed \( \frac{5}{8} \) of 20 laps: \[ \text{Laps by Jamie} = \frac{5}{8} \times 20 = 12.5 \]

  3. Keenan completed \( \frac{5}{9} \) of 20 laps: \[ \text{Laps by Keenan} = \frac{5}{9} \times 20 \approx 11.11 \]

  4. Maya completed \( 0.833 \) of 20 laps: \[ \text{Laps by Maya} = 0.833 \times 20 \approx 16.66 \]

  5. Trey completed \( 0.875 \) of 20 laps: \[ \text{Laps by Trey} = 0.875 \times 20 = 17.5 \]

Now we list each person along with the amount of laps they've completed:

  • Sara: 16 laps
  • Jamie: 12.5 laps
  • Keenan: approximately 11.11 laps (or \( \frac{5}{9} \))
  • Maya: approximately 16.66 laps (or \( 0.833 \))
  • Trey: 17.5 laps (or \( 0.875 \))

Now, let's arrange these values in descending order:

  1. Trey: 0.875 (17.5 laps)
  2. Maya: 0.833 (approximately 16.66 laps)
  3. Sara: \( \frac{4}{5} \) (16 laps)
  4. Jamie: \( \frac{5}{8} \) (12.5 laps)
  5. Keenan: \( \frac{5}{9} \) (approximately 11.11 laps)

Therefore, in descending order, labeled from 1 to 5, the results are:

  1. \( 0.875 \) (Trey)
  2. \( 0.833 \) (Maya)
  3. \( \frac{4}{5} \) (Sara)
  4. \( \frac{5}{8} \) (Jamie)
  5. \( \frac{5}{9} \) (Keenan)