there are 66 chapters in Bible
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
Read more about rate and distance at:
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true or false
1. The computers of all the five generations have different properties.
Answer:
The answer to your question is true
One of the five reasons young drivers, age 16 to 20 are involved in more
collisions than older drivers is _______
pressure.
A. peer
B. school
C. night
Answer:
A
Explanation:
because their friends can be drinking in the car and says to the driver will u like to drink and persuading which will lead to him being drunk
[tex]-2xy^2(x^3y-2x^2y^2+5xy^3[/tex]
[tex]\boxed{\sf a(b+c+d)=ab+ac+ad}[/tex]
[tex]\\ \sf\longmapsto -2xy^2(x^3y-2x^2y^2+5xy^3)[/tex]
[tex]\\ \sf\longmapsto -2x^4y^3+4x^3y^4-10x^2y^5[/tex]
Hope it helps
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