If there are n people, each person could shake hands with 0 people, 1 person, 2 people,... on up to shaking hands with n − 1
people. Count how many different answers there are to asking the person the question "How many hands did you shake?" How many people are there? If the people are the pigeons, and the possible answers to the question "how many hands did you shake" are the holes, can we conclude anything yet? No? How about now noticing that at least one of the holes "I shook hands with noone" or "I shook hands with everyone" has to be empty... now what?
"Since there are more pigeons than holes there must be a hole with at least two pigeons in the same hole" Now, replace the word "pigeons" and "holes" with the appropriate terms for the context of your specific question, remember we are talking about people and number of handshakes they participated in.
Answer:
Train A = 299 tons Train B = 50 tons
Step-by-step explanation:
Train A = x
Train B = y
x+y = 349
x= y +249
Plug in one equation into another
y+249+y= 349
Simplify
2y+249=349
Subtract 249 from both sides
2y=100
Divide both sides by 2
y=50
Plug it into the x equation to solve for x
x+50=349
-50 from both sides
x=299
6 - hundred thousand
1 - ten thousands
2 - thousands
3 - hundred
0 - tens
0 - ones
600,000 + 10,000 + 2,000 + 300
Answer: the slope is negative
Step-by-step explanation:
I graphed it and the slope is negative
