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:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
Answer: Least To Greatest: 1/3, 3/8, 0.625, 75%.
Step-by-step explanation: If you want to find these values in order from least to greatest, then you‘ll have to find each of their values in either decimal form or fraction form, but I recommend converting them to decimal form. 1/3 = 0.33333, 3/8 = 0.375, 0.625, 75% = 0.75. So, now you can arrange them in order, just remember to re-convert them to the form they were originally in.
Answer:
B, D represent pairs of vertical angles.
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Other pairs may be congruent, but they are not vertical angles. The lines that look parallel must be assumed to be NOT parallel, because they are not marked in the diagram as being parallel. Thus ∠8 ≠ ∠12, for example.
- sqdancefan
Answer is 44-2/5
Step by step. I did a print screen showing how we can use cancellation with the 3 and 9 so the numbers are smaller. Then we multiplied across to get 222/5.
Divide 222 by 5 = 44-4/10, simplified to 44-2/5.
