Answer:
Contradiction
Step-by-step explanation:
Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.
Answer:
They weigh 1/6
Step-by-step explanation:
So what you do is Divide 1/4 bye 1 1/2 so that you can figure out how much 1 1/2 bags weigh and that equals 1/6
12,500 divide 1999, 12,500 divide 1998, etc hope this helps
Answer:
$35 dollars
Step-by-step explanation:
So we know that 3 rides costs $21. If you then take 21/3 you get 7, you're then going to take 7x5 and you will get 35. Therefore 5 rides on the MoonCoaster cost $35. Hope this helps!
Answer:
This factorization is not a prime factorization.
Step-by-step explanation:
Prime factorization always singles down to prime numbers. The following factorization is not a prime factorization because the factors are not all prime. For example, 22 is not prime.