1. Amy, Jim, John, and Kelly are standing on the east bank of the river and wish to cross tothe west side using a canoe. The canoe can hold at most two people at a time. Amy,being the most athletic, can row across the river in 1 minute. Jim, John, and Kelly wouldtake 2, 5, and 10 minutes respectively. If two people are in the canoe, the slower persondictates the crossing time. The objective is for all four people to be on the other side ofthe river in the shortest time possible.a. Identify at least two feasible plans for crossing the river (remember, the canoe isthe only mode of transportation and it cannot be shuttled empty).b. Define the criterion for evaluating the alternatives.c. What is the smallest time for moving all four people to the other side of the river?

Answered: Image /qna-images/answer/8deb42de-a4be-433d-b324-684ea9ce8aa8.jpg

Answered: 1. Amy, Jim, John, and Kelly are…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. of a tank of gas when it is cut (on average). 16 Diragio Lawn Care cuts 42 lawns every week. Each lawn uses Part A If the lawnmower had no gas at the start of the week, how many times would it have to be completely filled during the week? Show your work. Part B. The cost for a full tank of gas in the lawnmower is $20. How much does it cost (in lawnmower fuel only) to mow one average lawn? Show your work. BIU E E X, x
37) Jennifer and Matt are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. Jennifer sold 6 apple pies and 8 blackberry pies for a total of $212. Matt sold 10 apple pies and 4 blackberry pies for a total of $176. What is the cost each of one apple pie and one blackberry pie?
Two bicyclists, 42 miles apart, begin riding towards each other along a long straight avenue. One cyclists travels 15 miles per hour and the other 27 miles per hour. At the same time Spot (a greyhound), starting at one cyclist, runs back and forth the two cyclists as the cycle toward each other. If Spot runs 38 miles per hour and turns instantly at each cyclist, how many miles has he run when the cyclists meet? a. 42 miles b. 15 miles c. 38 miles d. 27 miles
For each problem, show all work and explain your reasoning.(a) Does the overall configuration consider the order of the individual pieces of the configuration? (b) Count the number of different configurations for the prompt.1. Passwords of length seven containing distinct letters consisting of uppercase English lettersand/or lowercase English letters2. Committees consisting of four folks formed from the 11 Math faculty members3. Usernames of length six consisting of uppercase English letters, lowercase English letters,and/or numbers from 0–94. Election results from 6 Math 150 students for course president, vice president, and treasurer5. Phone numbers containing only odd numbers6. Social security numbers containing neither 8’s nor 9’s7. Ice cream sundaes consisting of three distinct flavors taken from ten total flavors8. Handfuls of five Skittles consisting of only “warm” colors from a jar containing 8 red, 11green, 7 yellow, 12 purple, and 13 orange9. Possible rolls from fair 6-sided,…
Luke and Slim have only one horse. Luke rides for an agreed-on distance and then ties up the horse for Slim, who has been walking. Meanwhile, Luke walks on ahead. They alternate the walking and the riding. If they walk 4 miles per hour and ride 12 miles per hour, what part of the time is the horse resting?
Kabaddi is a popular sport in South Asia. The basic rules of Kabaddi are simple: two teams of seven players each face off in a large square arena for two halves of twenty minutes each. Players from each team take turns running across the center line to the other team's half of the court ( called "raiding"), tagging members of the other team (4 people defending), and running back. The more opposing team members they tag, the more points they score (+1 point for each player he tags), but if the opposing team can physically prevent them from crossing back to their side of the court, they score no points. During the sports week, a kabaddi match is going to be scheduled between the students of Section A and C. Section A has 42 students while Section C has 35 students
For each problem, show all work and explain your reasoning.(a) Does the overall configuration consider the order of the individual pieces of the configuration?(b) Count the number of different configurations for the prompt.1. Passwords of length seven containing distinct letters consisting of uppercase English lettersand/or lowercase English letters2. Committees consisting of four folks formed from the 11 Math faculty members3. Usernames of length six consisting of uppercase English letters, lowercase English letters,and/or numbers from 0–94. Election results from 6 Math 150 students for course president, vice president, and treasurer5. Phone numbers containing only odd numbers6. Social security numbers containing neither 8’s nor 9’s7. Ice cream sundaes consisting of three distinct flavors taken from ten total flavors8. Handfuls of five Skittles consisting of only “warm” colors from a jar containing 8 red, 11green, 7 yellow, 12 purple, and 13 orange9. Possible rolls from fair 6-sided,…
Two multipedes were dancind together at a party,and trying hard not to trip over each other's feet! One smiled at the other and said, "If you could give me two of your legs we'd have the same number."The other replied, 'If I had two of your legs , I'd have three times as many legs as you. How many legs does each multiped have?

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