Answer:14 dimes 10 nickels
Step-by-step explanation:
24 coins total
14 X.10 = 1.40
10 x .05 = .50
1.40 + .50 = 1.90
Step-by-step explanation:
x = price per video game
y = price per CD
164 = 5x + 3y
and then we know
x = y + 12
now we can use this as substitute in the first equation :
164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60
104 = 8y
y = $13
x = y + 12 = 13 + 12 = $25
so, each CD costs $13.
Answer:
n = 144 bags
Step-by-step explanation:
Given:-
- English porcelain miniature figurines in total = 12
- 1 figurine is to be placed in a 100-bag box
Find:-
On the average, how many boxes of tea must be pur-chased by a customer to obtain a complete collection consisting of the 12 nautical figurines?
Solution:-
- We will denote a random variable (X) as the number of figurines in (n) number of bags purchased.
- The probability (p) of finding a figurine in a single bag is ( success ):
p = 1 / 12
- The random variable (X) can follow a binomial distribution with parameters n = number of bags purchased, and p = probability of selecting a bag with a figurine.
X ~ B ( n , 1/12 )
- The average number of bag "n" that need to be purchased to find all 12 figurines available:
E ( X ) = 12
n*p = 12
n = 12 / p
n = 12 / ( 1 / 12) = 12^2
n = 144 bags
- A total of average n = 144 bags need to be purchased to find all the 12 figurines.
Answer:
x = 4 and -10
Step-by-step explanation:
Given the equation
x²+6x-40= 0
The common factors to use for the factorisation are +10 and -4
x²+(10x-4x)-40=0
(x²+10x)-(4x-40) = 0
x(x+10)-4(x+10) = 0
(x-4)(x+10) = 0
x-4 =0 and x+10 = 0
x = 4 and x = -10
