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Serhud [2]
3 years ago
6

Please I need help! I will give brainliest to whoever answers also. Thank you!

Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

Answer:

The set U includes all positive integers from 1 to 20.

a)

<u>x is subset U and 14 < x ≤ 23, then x is:</u>

  • x = {15, 16, 17, 18, 19, 20}

b)

<u>x is subset U and includes multiples of 4, so x is:</u>

  • x = {4, 8, 12, 16, 20}

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Liana's class was going on a very exciting school trip, but when Liana got to school, the school bus had already left! Frantic,
Llana [10]

Answer:

  • <u>They can catch up with the bus at 10:40 am.</u>

Explanation:

1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.

2. The average speed at whic Liana's mother drive: 60 miles/hour

3. Thus, the distance they will have driven will be:

  • distance = average speed × time = 60t

4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.

Thus, the time wil have driven when Liana and her mom have driven t hours  minutes will be: t + 40 min / 60 min/ hour = t + 2/3

5. The average speed of teh bus is 45 miles / hour

6. The distance the bus will have driven will be:

  • distance = average speed × time = 45(t + 2/3)

7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:

  • 60t = 45(t + 2/3)
  • 60t = 45t + 30
  • 60t - 45t = 30
  • 15t = 30
  • t = 30/15 = 2

Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.

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