Answer:
a) 21684
b) 15504
Step-by-step explanation:
a) Distribute the comic books as follows
only to 1 kid one way but we have five kids then 5
to two kids C₂₀,₂ = 20! /2! ( 20-2)! = 20*19 /2 = 190
To three C₂₀,₃ = 20! /3! ( 20 - 3)! = 20*19*18 /6 = 1140
To four C₂₀,₄ = 20 ! / 4! ( 20 - 4 )! = 20*19*18*17 /4*3*2 = 4845
To five C₂₀,₅ = 20! /5! (20 - 5 )! = 20*19*18*17*16/5*4*3*2*1
C₂₀,₅ = 15504
Then total ways of distribution are:
5 + 190 + 1140 + 4845 + 15504 = 21684
b) C₂₀,₅ we know from a that is equal to 15504
Answer: 156
Step-by-step explanation: 52*3=156 tickets
Answer:
Growth
Step-by-step explanation:
Growth is whenever there is a larger amount and Decay is when there is less of an amount it gets smaller. In the situation more people own ferrets as pets so therefore it's going to grow and so the answer is growth.
The perimeter of a rectangle = 2(l + w)
l = length
w = width
In this problem,
w = x
l = x + 30
the perimeter = 148
Let's plug our values into the perimeter formula above.
148ft = 2(x + x + 30ft)
Combine like terms.
148ft = 2(2x + 30ft)
Distribute the 2
148ft = 4x + 60
Subtract 60 from both sides
88ft = 4x
Divide both sides by 4
22ft = x
The width = x = 22ft
The length = x + 30 = 22 + 30 = 52ft
$9.50x45=$427.50(work per week)
$427.50-$55=$372.50(amount of money he earns per week)
$372.50x4x12=$17880(1 month has 4 weeks and 1 year has 12 months)
Answer: $17880
