Answer:
Yes.
Step-by-step explanation:
If a graph G doesn't have a circuit, we must have that
![|E(G)|=|V(G)|-1](https://tex.z-dn.net/?f=%7CE%28G%29%7C%3D%7CV%28G%29%7C-1)
where
is the number of edges of the graph and
the number of vertices. However, in this case it holds that
![|E(G)|=72>68=|V(G)|.](https://tex.z-dn.net/?f=%7CE%28G%29%7C%3D72%3E68%3D%7CV%28G%29%7C.)
Answer:
185 miles
Step-by-step explanation:
We are given that
Both Kyle and Tyler traveled total distance to the beach=425 miles
Kyle traveled distance to the beach=240 miles.
We have to find the distance traveled by Tyler.
To find the distance traveled by Tyler we will subtract distance traveled by Kyle form total distance traveled by together Kyle and Tyler.
Let x be the distance traveled by Tyler.
According to question
![x+240=425](https://tex.z-dn.net/?f=x%2B240%3D425)
miles
Hence, Tyler travels distance to the beach=185 miles
Let A be the number of Dimes & B the number of Quarters, the linear equation is as follows:
A.D+B.Q=2.05
6x+3>3x+30
The thing about solving inequalities, you just need to treat the symbol, which is the less than symbol in this case, as an equal sign.
So our problem becomes: 6x+3=3x+30
Now we solve this like a normal algebra problem.
First, get all the variables on one side. Since 3x is smaller than 6x, we'll get rid of that by subtracting it from each side.
3x+3=30 is what we end up with.
Now to get the variable alone and get rid of that constant. To do that, we are going to subtract 3 from each side.
We end up with 3x=27
Now, to get the 'x' alone, we need to divide each side by 3.
x=9 is what we end up.
BUT WE FORGOT TO DO SOMETHING
We started this as an inequality problem, so we need to end it as an inequality solution.
Since there wasn't any negatives we need to worry about (Which is something else entirely) we just need to transfer the symbol we started with down.
x>9
Any Questions?