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Mathematics Clinic => Other Maths => Topic started by: dmcintosh on May 5, 2020

Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: dmcintosh on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and seven bridges as shown in the figure below.




A graph that appropriately models this situation would have
◦ 7 vertices and 7 edges.
◦ 5 vertices and 7 edges.
◦ 3 vertices and 7 edges.
◦ 5 vertices and 3 edges.
◦ none of above
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: nital on May 5, 2020
5 vertices and 7 edges.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: khang on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and seven bridges as shown in the figure below.




In the graph that models this situation, the degree of the vertex that represents island A is
◦ 2.
◦ 4.
◦ 1.
◦ 3.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: Kdiggy on May 5, 2020
2.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: DelorasTo on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and seven bridges as shown in the figure below.




In the graph that models this situation, the degree of the vertex that represents island B is
◦ 2.
◦ 1.
◦ 3.
◦ 4.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: Leostella20 on May 5, 2020
4.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: ec501234 on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and seven bridges as shown in the figure below.




In the graph that models this situation, the degree of the vertex that represents the North Bank is
◦ 3.
◦ 2.
◦ 4.
◦ 1.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: moormoney on May 5, 2020
3.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: lunatika on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




A graph that appropriately models this situation would have
◦ 9 vertices and 5 edges.
◦ 5 vertices and 9 edges.
◦ 3 vertices and 9 edges.
◦ 9 vertices and 3 edges.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: gasdhashg on May 5, 2020
5 vertices and 9 edges.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: Hungry! on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




In the graph that models this situation, the degree of the vertex that represents island A is
◦ 4.
◦ 2.
◦ 1.
◦ 3.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: frogdreck123456 on May 5, 2020
2.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: ss2343 on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




In the graph that models this situation, the degree of the vertex that represents island B is
◦ 3.
◦ 6.
◦ 5.
◦ 4.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: miss.ashley on May 5, 2020
6.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: jenna1 on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




In the graph that models this situation, the degree of the vertex that represents the South Bank is
◦ 4.
◦ 1.
◦ 3.
◦ 2.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: mirabriestensky on May 5, 2020
3.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: cool on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




A graph that appropriate models this situation would have
◦ 9 vertices and 3 edges.
◦ 3 vertices and 9 edges.
◦ 5 vertices and 9 edges.
◦ 9 vertices and 5 edges.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: IRincones on May 5, 2020
5 vertices and 9 edges.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: bucstennis@aim.com on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




In the graph that models this situation, the degree of the vertex that represents the North Bank is
◦ 4.
◦ 3.
◦ 1.
◦ 2.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: ally on May 5, 2020
3.
Title: In a certain city there is a river running through the middle of the city. There are four islands ...
Post by: Yolanda on May 5, 2020
In a certain city there is a river running through the middle of the city.  There are four islands and eleven bridges as shown in the figure below.




A graph that appropriately models this situation would have
◦ 6 vertices and 11 edges.
◦ 11 vertices and 6 edges.
◦ 4 vertices and 11 edges.
◦ 11 vertices and 4 edges.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are four islands ...
Post by: chinwesucks on May 5, 2020
6 vertices and 11 edges.
Title: In a certain city there is a river running through the middle of the city. There are four islands ...
Post by: mydiamond on May 5, 2020
In a certain city there is a river running through the middle of the city.  There are four islands and eleven bridges as shown in the figure below.




In the graph that models this situation, the degree of the vertex that represents the North Bank is
◦ 4.
◦ 2.
◦ 3.
◦ 1.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are four islands ...
Post by: Juro on May 5, 2020
3.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: tnt_battle on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and seven bridges as shown in the figure below.




It is possible to take a walk through this town, starting on the North Bank, crossing each bridge once (and only once) and ending
◦ on island B.
◦ back on the North Bank.
◦ on the South Bank.
◦ on island C.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: Jody Vaughn on May 5, 2020
on island C.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: c0205847 on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and seven bridges as shown in the figure below.




Which of the following statements is true?
◦ The graph that models this situation has an Euler path starting on the South Bank and ending on the North Bank.
◦ The graph that models this situation has an Euler circuit.
◦ No edge in the graph that models this situation is actually a bridge.
◦ All of these are true.
◦ None of these are true.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: frankwu0507 on May 5, 2020
No edge in the graph that models this situation is actually a bridge.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: Wadzanai on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and seven bridges as shown in the figure below.




Suppose that there is a crossing charge of $1.00 every time one crosses a bridge. A tourist wants to start on the North Bank, stroll across each of the bridges at least once, and return to her hotel on the North Bank at the end of the trip.  What is the cheapest possible cost of such a trip?
◦ $14
◦ Such a trip is impossible.
◦ $7
◦ $8
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: Brenm on May 5, 2020
$8
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: 123654777 on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




It is possible to take a walk through this town, starting on the South Bank, crossing each bridge once (and only once) and ending
◦ back on the South Bank.
◦ on the North Bank.
◦ on island B.
◦ on island C.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: Brummell1998 on May 5, 2020
on island C.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: faduma on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




Suppose there is a crossing charge of $1.00 every time one crosses a bridge. A tourist wants to start on the South Bank, stroll across each of the bridges at least once, and return to her hotel on the South Bank at the end of the trip. What is the cheapest possible cost of such a trip?
◦ Such a trip is impossible.
◦ $18
◦ $9
◦ $10
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: ashely1112 on May 5, 2020
$10
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: yoooooman on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




It is possible to take a walk though this town, starting on the South Bank, crossing each bridge once (and only once) and ending
◦ on the North Bank.
◦ on island C.
◦ back on the South Bank.
◦ on island B.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: FergA on May 5, 2020
on the North Bank.
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: tth on May 5, 2020
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.




Suppose there is a crossing charge of $1.00 every time one crosses a bridge. A tourist wants to start on the South Bank, stroll across each of the bridges at least once, and return to her hotel on the South Bank at the end of the trip. What is the cheapest possible cost of such a trip?
◦ $12
◦ $9
◦ $11
◦ $10
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are three islands ...
Post by: mmpiza on May 5, 2020
$11
Title: In a certain city there is a river running through the middle of the city. There are four islands ...
Post by: MGLQZ on May 5, 2020
In a certain city there is a river running through the middle of the city.  There are four islands and eleven bridges as shown in the figure below.




It is possible to take a walk through this town, starting on the South Bank, crossing each bridge one (and only once) and ending
◦ on island C.
◦ back on the South Bank.
◦ on the North Bank.
◦ on island B.
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are four islands ...
Post by: momtoalll on May 5, 2020
on the North Bank.
Title: In a certain city there is a river running through the middle of the city. There are four islands ...
Post by: swpotter12 on May 5, 2020
In a certain city there is a river running through the middle of the city.  There are four islands and eleven bridges as shown in the figure below.




Suppose that there is a crossing charge of $1.00 every time one crosses a bridge.  A tourist wants to start on the South Bank, stroll across each of the bridges at least once, and return to her hotel on the South Bank at the end of the trip.  What is the cheapest possible cost of such a trip?
◦ $14
◦ $12
◦ $11
◦ $13
◦ none of these
Title: In a certain city there is a river running through the middle of the city. There are four islands ...
Post by: Ksanderson1296 on May 5, 2020
$13
Title: Re: In a certain city there is a river running through the middle of the city. There are three islan
Post by: katya on Feb 1, 2021
thank you