Answer:
a) The degree of vertex P is 2.
b) The degree of vertex O is 0.
c) The graph has 2 components.
Step-by-step explanation:
a) The edges that have P as a vertice are {M,P} and {P,R}.
b) There is no edge with extreme point O.
c) One of the components is the one with the only vertex as O and has no edges. The other component is the one with the rest of the vertices and all the edges described.
The file has a realization of the graph.
We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.
<h3>How much costs to fill the tank?</h3>
a) The car holds 18 gallons, and it has 1/5 of the tank remaining.
Then in the tank there are:
(1/5)*18 = 3.6 gallons.
Then we need 18 gal - 3.6 gal = 14.4 gal
And each gallon costs $2.70, then to fill the tank, Miss Kito needs:
(14.4)*$2.70 = $38.88
b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.
Then she needs:
To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.
If you want to learn more about algebra, you can read:
Step-by-step explanation:
im srry if it doesnt help...
