Answer: a) 338 miles
b) $52.26
Step-by-step explanation: To get the amount of miles that your car can drive before running out of gas, you just multiply how many gallons you have by how many miles each gallon lasts. Then, to get the cost of all the gas, you multiply the cost of the gas by how many gallons you need.
The path of the given Hamiltonian diagram is A, E, B, C, D, F. See explanation below.
<h3>What is a Hamiltonian Path?</h3>
A Hamiltonian path, also known as a traceable path, is one that visits each vertex of the graph precisely once.
A traceable graph is one that contains a Hamiltonian path.
Hence, the path is given as;
A, E, B, C, D, F
Learn more about Hamiltonian Paths at;
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<h3><u>The value of y is equal to 1.</u></h3>
7(y - 3) = 2(y - 9) + 2y
Distributive property.
7y - 21 = 2y - 18 + 2y
Combine like terms.
7y - 21 = 4y - 18
Subtract 4y from both sides.
3y - 21 = -18
Add 21 to both sides.
3y = 3
Divide both sides by 3.
y = 1
No solution.
2y-x=6 =y=1/2x+3
Since 1/2x does not equal 1/2x+3, this is a false statement and therefore has no solution
First, let's take a look at the formula to figure this out.
m = y2 - y1/x2 - x1
y2 would be -5, and y1 would be 8. -5 - 8 = -13.
x2 is -6, and x1 is also -6. -6 - -6 would be -12.
So, now we must divide -13 and -12, which results in 1 1/12.
