Answer:
see attached for one possibility
Step-by-step explanation:
Graphs are <em>equivalent</em> if they have the same structure, but not necessarily the same labeling.
The graph given is one big loop with one of the edges doubled. An equivalent graph is one that can be drawn as one big loop with one of the edges doubled. The attachment shows one way to draw such a graph.
Renaming the vertices of the attached graph to A, C, D, B (clockwise from lower left) will make it <em>equal</em> to the given graph.
Answer:
Velocity = distance / time
Velocity = (9/10) / (3/8)
Velocity = (9/10) * (8/3) = 72 / 30 =24 / 10 = 2.4 miles per hour
Therefore, you could walk 4.8 miles in 2 hours.
Step-by-step explanation:
Answer:
the three consecutive odd integers are 9, 11, and 13.
Step-by-step explanation:
Let's say that the first odd integer is x. The second consecutive odd integer would have to be x+2. (It would not be x+1 because that would result in an even integer. The sum of any two odd numbers is even.) The third consecutive odd integer would be (x+2) +2 or x+4.
The sum of the first, twice the second, and three times the third can be written as:
x+2(x+2)+3(x+4)
This equals 70. We can now distribute and solve for x:
x+2(x+2)+3(x+4)=70
x+2x+4+3x+12=70(distribute)
6x+16=70(combine like terms)
6x=54(subtract 16 from both sides)
x=9(divide by 9)
Thus, the three consecutive odd integers are 9, 11, and 13
hope this helps :)
If you would like to know Johnathan's average speed in miles per hour, you can calculate this using the following steps:
3 2/3 = 11/3 miles ... 7/8 hour
x miles = ? ... 1 hour
11/3 * 1 = 7/8 * x
11/3 = 7/8 * x
x = 11/3 * 8/7
x = 88/21
x = 4 4/21 miles
The correct result would be 4 4/21 miles per hour.