Answer:
8,188,830 43a
8,188,830
The Escobar family went on a car trip. They drove 100 miles on country roads and 240 miles on the highway. They drove 50% faster on the highway than on the country roads. Let r represent their rate on country roads in miles per hour. a. Write and simplify an expression that represents the number of hours it took the Escobar family to complete their trip in terms of r. (Hint: 50% faster means 150% of the original rate.) b. Find their total travel time if they drove the posted speed limit.
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Explanation:
The expression that represents the number of hours it took the Escobar family to complete their trip in terms of r is 260/r
The expression for the total time of travel?Let r represent their rate on country road and R represent their rate on highway.
So, we have:
R = (100% + 50%) * r
Evaluate
R = 1.5r
Rate is calculated using:
Rate = Distance/Time
So, we have:
r = 100/t and R = 240/T
Make T and t the subject
t = 100/r and T = 240/R
The total time of travel is:
Total = t + T
So, we have:
Total = 100/r + 240/R
Substitute R = 1.5r
Total = 100/r + 240/1.5r
Simplify
Total = 100/r + 160/r
Evaluate the sum
Total = 260/r
The total time of travelThe speed limit is 40mph
This means that:
r = 40
In (a), we have:
Total = 260/r
Substitute 40 for r
Total = 260/40
Evaluate
Total = 6.5
Hence, their total time of travel is 6.5hours
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Choose the vocabulary word that BEST completes the sentence.
The food writer ate at the restaurant on three nights to get an accurate picture of its
quality.
hoarding
subdued
mythological
successive
Answer:
Quality
Explanation:
If you substitute the other 4 words, the sentence simply does not make sense
to maintain good balance in a horizontal relationship, you must…
Answer:
A
Explanation:
Working productively and sharing responsibility is the correct choice to maintain a good balance in a horizontal relationship. Hope this helps! Thanks.
Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 2 2/5 hours. How long will it take Maria to do the job alone?
3. Cora earns $13 an hour as a cashier. How much will
she earn if she works from 8:00am to 2:00pm?
Answer:
56
Answer: Answer is 78 dollars.
Explanation:
from 8:00 am to 2:00pm it would be 6 hours
so
1 hour = 13
6 hours = 13*6 = 78
What type of relationship involves people who don’t share the same status?
A. parallel
B. horizontal
C. vertical
D. Circular
Which model best shows the movement of oxygen during photosynthesis?
Plant
Ò A. Atmosphere
O B. Soil - Plant
C. Plant - Soil
D. Plant - Atmosphere