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A track team needed to run or jog 20 laps for their practice. Of the total 20 laps, Sara completed 45

, Jamie completed 58
, Keenan completed 59
, Maya completed 0.833, and Trey completed 0.875. Identify the descending numeric order of the laps completed.(2 points)
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7 answers

To identify the descending numeric order of the laps completed by each team member, let's first convert all the values to a more consistent format.

  • Sara: 45 laps
  • Jamie: 58 laps
  • Keenan: 59 laps
  • Maya: 0.833 laps
  • Trey: 0.875 laps

Now, let's convert Maya and Trey's laps from decimals to fractions (if needed):

  • Maya: 0.833 ≈ \( \frac{5}{6} \) laps (not needed for comparison, but worth noting)
  • Trey: 0.875 = \( \frac{7}{8} \) laps

Now we have:

  1. Sara: 45
  2. Jamie: 58
  3. Keenan: 59
  4. Maya: 0.833 (approximately 5/6)
  5. Trey: 0.875 (approximately 7/8)

Arranging these in descending order, we have:

  1. Keenan: 59 laps
  2. Jamie: 58 laps
  3. Sara: 45 laps
  4. Trey: 0.875 laps
  5. Maya: 0.833 laps

Thus, the descending order of laps completed is:

Keenan, Jamie, Sara, Trey, Maya

i meant: 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.(2 points)
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,
,
,
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To find the descending numeric order of laps completed by each member of the track team, we first need to convert all the fractions and decimals to a common scale (i.e., total laps of 20).

  1. Sara: \( \frac{4}{5} \) of 20 laps = \( \frac{4}{5} \times 20 = 16 \) laps
  2. Jamie: \( \frac{5}{8} \) of 20 laps = \( \frac{5}{8} \times 20 = 12.5 \) laps
  3. Keenan: \( \frac{5}{9} \) of 20 laps = \( \frac{5}{9} \times 20 \approx 11.11 \) laps (exactly \( \frac{100}{9} \) or approximately 11.11)
  4. Maya: 0.833 of 20 laps = \( 0.833 \times 20 \approx 16.66 \) laps
  5. Trey: 0.875 of 20 laps = \( 0.875 \times 20 = 17.5 \) laps

Now let's summarize the results:

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

Now, we can put these values in descending order:

  1. Trey: 17.5 laps
  2. Maya: approximately 16.66 laps
  3. Sara: 16 laps
  4. Jamie: 12.5 laps
  5. Keenan: approximately 11.11 laps

Thus, the descending order of laps completed is:

Trey, Maya, Sara, Jamie, Keenan

Double Check PAALEEASE

Certainly! Let's carefully go through the calculations one more time to ensure accuracy.

Laps Completed

  1. Sara: \( \frac{4}{5} \) of 20 laps

    • Calculation: \( \frac{4}{5} \times 20 = 16 \) laps

  2. Jamie: \( \frac{5}{8} \) of 20 laps

    • Calculation: \( \frac{5}{8} \times 20 = 12.5 \) laps

  3. Keenan: \( \frac{5}{9} \) of 20 laps

    • Calculation: \( \frac{5}{9} \times 20 = \frac{100}{9} \approx 11.11 \) laps

  4. Maya: 0.833 of 20 laps

    • Calculation: \( 0.833 \times 20 = 16.66 \) laps

  5. Trey: 0.875 of 20 laps

    • Calculation: \( 0.875 \times 20 = 17.5 \) laps

Summary of Laps Completed

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

Ordering the Results

Now, we arrange these in descending order:

  1. Trey: 17.5 laps
  2. Maya: approximately 16.66 laps (or rounded to 16.7)
  3. Sara: 16 laps
  4. Jamie: 12.5 laps
  5. Keenan: approximately 11.11 laps

Final Descending Order of Laps Completed

Here is the final correct order:

  1. Trey
  2. Maya
  3. Sara
  4. Jamie
  5. Keenan

Thank you for your patience! If there are any further questions or clarifications needed, feel free to ask!

Consider the numbers 13, 16, 27, and 41.
a. Which of these numbers are prime? How do you know?
b. Which of these numbers are composite? How do you know?(2 points) 5th grader word pleasse

Sure! Let's break this down simply.

a. Which of these numbers are prime?

A prime number is a number that can only be divided by 1 and itself. In other words, it has exactly two factors.

  1. 13:

    • The only numbers that can divide 13 are 1 and 13.
    • So, 13 is a prime number.

  2. 16:

    • It can be divided by 1, 2, 4, 8, and 16.
    • So, 16 is NOT a prime number.

  3. 27:

    • It can be divided by 1, 3, 9, and 27.
    • So, 27 is NOT a prime number.

  4. 41:

    • The only numbers that can divide 41 are 1 and 41.
    • So, 41 is a prime number.

In summary, the prime numbers are: 13 and 41.

b. Which of these numbers are composite?

A composite number is a number that has more than two factors. This means it can be divided by 1, itself, and at least one other number.

  1. 13:

    • It only has 2 factors: 1 and 13.
    • So, 13 is NOT a composite number.

  2. 16:

    • It has more than two factors: 1, 2, 4, 8, and 16.
    • So, 16 is a composite number.

  3. 27:

    • It has more than two factors: 1, 3, 9, and 27.
    • So, 27 is a composite number.

  4. 41:

    • It only has 2 factors: 1 and 41.
    • So, 41 is NOT a composite number.

In summary, the composite numbers are: 16 and 27.

Final List:

  • Prime Numbers: 13, 41
  • Composite Numbers: 16, 27

I hope this helps you understand! If you have more questions, feel free to ask!