if employee a logged 120 hours of travel in four years and employee b logged hours of travel at a 20% higher rate, how many more hours did employee b have than employee a after 1.5 years

Answers

Answer 1
Answer: Traveled hours by a in four years = 120
Traveled hours by b in four years = (120/100) * 120
                                                      = 144
Excessive hours traveled by b in 4 years           = 144 - 120
                                                                           = 24
Excessive hours traveled by b in 1.5 years        = (24/4) * 1.5
                                                                           = 9 hours


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During a family trip, you share the driving with your dad. At most, you are allowed to drive for three hours. While driving, your maximum speed is 55 miles per hour.Part A) Write a system of inequalities describing the possible numbers of hours “t” and distance “d” you may have to drive.


Part B) Is it possible for you to have driven 160 miles?


Please help and if you don’t mind to explain how you got all of the answers to each part. Offering 20 Points!

Thank you!

Answers

Final answer:

In this question, we create a system of inequalities to describe the possible number of hours and distance you may have to drive. It is not possible to have driven 160 miles.

Explanation:

Part A:

Let t represent the number of hours you drive and d represent the distance you drive.

The constraints for the number of hours are: 0 ≤ t ≤ 3, which means you can drive for at most 3 hours.

The constraints for the distance are: 0 ≤ d ≤ 55t, which means the distance you drive cannot exceed 55 miles per hour multiplied by the number of hours you drive.

Part B:

No, it is not possible for you to have driven 160 miles. Let's substitute t = 3 into the distance constraint:

d ≤ 55t

d ≤ 55(3)

d ≤ 165

Since 160 is greater than 165, it is not within the range of possible distances you can drive.

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Final answer:

The system of inequalities describing the possible numbers of hours and distance is t ≤ 3 and d = t × 55. It is not possible to have driven exactly 160 miles.

Explanation:

Part A:

To describe the possible numbers of hours and distance you may have to drive, we can create a system of inequalities based on the given conditions. Let's denote 't' as the number of hours you drive and 'd' as the distance you cover.

The maximum allowed driving time is 3 hours, so we can write the inequality: t ≤ 3.

Since your maximum speed is 55 miles per hour, the distance 'd' can be calculated using the formula: d = t × 55.

Combining these two inequalities, we have: t ≤ 3 and d = t × 55.

Part B:

To determine if it is possible to have driven 160 miles, we substitute the distance 'd' with 160 in the inequality: d = t × 55. By solving for 't', we can find the allowed range of hours. Plugging in the values, we get: 160 = t × 55. Rearranging the equation, we find t = 160 / 55, which gives t ≈ 2.91.

Therefore, it is not possible to have driven exactly 160 miles, as it falls outside the allowed range of t.

Learn more about system of inequalities here:

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Brain dead someone help ​

Answers

Answer:

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Step-by-step explanation:

can you flip it pls

A restaurant chain ordered 3945 pounds of rice in 20 pound bags. About how many 20 pound bags of rice did the chain ordered ?

Answers

3945:20=197,25\n \nbags\ must\ be\ whole,\ so\ the\ chain\ did\ 198\ bags\ ordered.
divide 3945 by 20 to see how many full bags have to be bought then if you need part of a bag you have to buy one extra 193 full bags  3940 pounds and one extra bag  for the other 5 pounds 

Estimate the sum or difference?
6/10 + 7/12
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Answers

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State the triangle congruence theorem that can be used to prove triangles congruent.SSS
SAS
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HL
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Answers

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Step-by-step explanation:

HELP ASAPP!!!!!!The bill at dinner was $145.67. I gave the waiter a 20% tip. How much tip did i give the Waiter?

Answers

Answer:

29.134

Step-by-step explanation:

You take 20% from 145.67 and that's what you get.

Answer:

you give the waiter $29.13

Step-by-step explanation:

145.67*0.2

29.134

$29.13