688,747,536 ways in which the people can take the seats.
<h3>
</h3><h3>
How many ways are there for everyone to do this so that at the end of the move, each seat is taken by exactly one person?</h3>
There is a 2 by 10 rectangular greed of seats with people. so there are 2 rows of 10 seats.
When the whistle blows, each person needs to change to an orthogonally adjacent seat.
(This means that the person can go to the seat in front, or the seats in the sides).
This means that, unless for the 4 ends that will have only two options, all the other people (the remaining 16) have 3 options to choose where to sit.
Now, if we take the options that each seat has, and we take the product, we will get:
P = (2)^4*(3)^16 = 688,747,536 ways in which the people can take the seats.
If you want to learn more about combinations:
brainly.com/question/11732255
#SPJ!
Let
x: number of regular basketball
y: number of long-distance basket
We have the following system of equations:
2x + 3y = 96
x + y = 45
Solving the system we have
y = 45-x
2x + 3 (45-x) = 96
2x +135 -3x = 96
-x = 96 -135
x = 39
Then,
y = 45-x
y = 45-39
y = 6
answer
were made
regular baskets = 39
long-distance baskets = 6
Answer:34.5
Step-by-step explanation:
Difference = subtract
Answer:
12
Step-by-step explanation:
The area of a triangle is given by A=1/2bh, and from the first line give sus b=4+4h. Therefore we get A=(1/2)(4+4h)h=12. Or (2+2h)h=12. We can simplify further by dividing both sides by 2, and we get (h+1)h=6 or multiplying out h^2+h=6 which gives h^2+h-6=0. This we can factor into (h+3)(h-2)=0 or h=2, or -3. We have a positive hight, therefore, h=2 which gives us a base of b=4+4*2=12. So a base of 12inches. and a hight of 2 inches. We can plug this into the original area formula and see we get an answer of 12
