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Dima020 [189]
3 years ago
10

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

Liana begged her mom to drive her to catch up with the bus. Liana's mother has to decide quickly whether she can do it. These are the facts to consider: The bus left at 8:00 AM and is moving with the average speed 45 mph. Liana and her mom can leave no earlier than at 8:40. If Liana's mother drives with the average speed 60 mph, when can they catch up with the bus?
Mathematics
1 answer:
Llana [10]3 years ago
5 0

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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Half of the flowers are yellow tulips.

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This shows us that 6 of the 12 boxes, 1/2, are yellow tulips.

8 0
3 years ago
Idk the answer can u help me
valentinak56 [21]

The answer is C) 67

Angle FGE is a right angle so it is 90 degrees and angle AGF is the same as CGD so it is 23 degrees.

Add angle FGE and angle AGF together (90 + 23 = 113) and subtract that by 180 (180 - 113 = 67)

3 0
3 years ago
C) 4c°+4c°+16c°+90°=360°
skad [1K]

Answer:

4c + 4c + 16c + 90 = 360

Add the like terms

24c + 90 = 360

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4 0
2 years ago
Read 2 more answers
Help please asap ?! don't guess
xxMikexx [17]

The second from the top is the correct answer because it's baiscally saying the same thing, that x has to be greater than or equal to 8. The one on the very top, which you picked is saying that x is going to be less than or equal to x, which is not correct.

7 0
2 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
____ [38]

Answer:

\int_{-\infty}^0 5 e^{60x} dx = \frac{1}{12}[e^0 -0]= \frac{1}{12}  

Step-by-step explanation:

Assuming this integral:

\int_{-\infty}^0 5 e^{60x} dx

We can do this as the first step:

5 \int_{-\infty}^0 e^{60x} dx

Now we can solve the integral and we got:

5 \frac{e^{60x}}{60} \Big|_{-\infty}^0

\int_{-\infty}^0 5 e^{60x} dx = \frac{e^{60x}}{12}\Big|_{-\infty}^0 = \frac{1}{12} [e^{60*0} -e^{-\infty}]

\int_{-\infty}^0 5 e^{60x} dx = \frac{1}{12}[e^0 -0]= \frac{1}{12}  

So then we see that the integral on this case converges amd the values is 1/12 on this case.

6 0
3 years ago
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