Answer:
<h2>76904685 ways</h2>
Step-by-step explanation:
Given data
the number of students n=40
the number of groups r= 8
We are going to use the combination approach to solve the problem
nCr= n!/r!(n-r)!
substituting into the expression for the number of ways we have
40C8= 40!/8!(40-8)!
nCr= 40!/8!(32)!
nCr= 40!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*32!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*/8!
nCr= 40*39*38*37*36*35*34*33*/8*7*6*5*4*3*2
nCr= 3100796899200/40320
nCr=76904685 ways
Since there are two halves in a whole, you can times each number by 2 to get the number of halves it has.
12*2=24
10*2=20
13*2=26
15*2=30
8*2=16
5*2=10
Answer:
8 pounds of peanuts, 6 pounds of raisins and 6 pounds of chocolate chips
Step-by-step explanation:
Let x be the number of pounds of peanuts and y be the number of pounds of raisins and chocolate chips.
Peanuts cost $2 per pound, then x pounds cost $2x.
Raisins cost $2.50 per pound, then y pounds cost $2.50y.
Chocolate chips cost $4 per pound, then y pounds cost $4y.
In total, x+y+y=20 and those 20 pounds cost
2x+2.50y+4y=20·2.75.
Solve the system of two equations:

From the first equation:

Substitute x into the second equation:

Answer:

Step by step explanation:

You could solve it ( without a graph) in 2 easy ways :
1 use the equation that you have written in pencil and solve for y
y=3=-x+4
y=-x +1
Or you could use the point slop form after you find the y intercept y=mx+b
-3=4(-1)+b
b= 1
So the answer would be y= -x +1
Hope this help of it does feel free to give the brainliest