Answer:
Let p be the number of pencils.
3(14-p)=30+p
42-3p=30+p
4p=12, p=3.
So Peter ends up with 33 and Tony with 11. 3*11=33, so that confirms that Tony gave Peter 3 pencils.
Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) = 
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) = 
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) = 
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability = 
probability = 0.2517
Answer:
-19x
Step-by-step explanation:
so you start with -8 and when you subtract 11 from -8 its the same as adding them but because your subtracting you'll decrease which make the answer -19x. (hopefully this made sense)
Answer:
Step-by-step explanation:
Using substitution method.
y = 3x - 8 -------(i)
y = 4 - x -------- (ii)
Substitute y = 3x-8 in equation (ii)
3x - 8= 4 - x {Add x to both sides}
3x - 8 + x = 4 - x +x
4x - 8 = 4 {Add 8 to both sides}
4x = 4 + 8
4x = 12 {Divide both sides by 4}
x = 12/4
x = 3
Substitute x = 3 in Equation (i)
y = 3*3 - 8
y = 9 - 8
y = 1
Answer:
68
Step-by-step explanation:
Find the vanilla first by dividing 420 by 7 and multiplying the quotient by 2 to get 120.
Then find the banana using the equation 35/100 = x/420, cross multiply to get 147.
Add 120 and 147 to get 267.
Subtract 267 from 420 to get 153.
Divide 153 by 9 to get 17.
Get the number of lemon cakes by multiplying 17 by 4.
The number of lemon cakes is 68!
(and chocolate cakes is 85)
