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Answer:
The students can be paired up in 654,729,075 ways
Step-by-step explanation:
The 20 people can organize themselves in a line. The first and second people can make up a pair, the 2nd and 3rd can do the same. This can be done until all 20 of them have a pair. This will be done in 20! ways
If the two people in a pair swap positions. In mathematics, it is considered as a different arrangement. This can be done since there are 10 pairs We will have to divide by this.
If the 10 pairs can swap places with each other, it will form another pair. As a matter of fact, the 10 pairs can swap pairs with each other all they like. This can be done in 10! ways. we will also have to divide by this.
Hence the total number of ways =
Answer:
The number of days are independent and the total number of minutes are dependent.
The required model for the situation is
The table is shown below:
Step-by-step explanation:
Consider the provided information.
Joshua spends 25 minutes of each day reading. Let d be the number of days that he reads, and let m represent the total minutes of reading.
We need to determine which variable is independent and which is dependent.
Here, the number of days are independent and the total number of minutes are dependent.
If he spends 25 minutes each day. So the total number of minutes in d days are:
The required model for the situation is
Now make the table which showing the number of minutes spent reading over 7 days.
Substitute the value of d from 1 to 7 in
Number of days(D) Minutes(M)
1 25
2 50
3 75
4 100
5 125
6 150
7 175
Answer:
x = 0
y= -3
Step-by-step explanation:
x = y + 3 into the equation y = -4x - 3, so
y = -4(y+3) - 3
y = -4y - 12 - 3
y = -4y - 15
5y = -15
y = -3
Then, you can substitute this into the equation x = y + 3