Answer:
1/9
Step-by-step explanation:
The die has sides 1,2,3,4,5,6
P( less than 5) = 1,2,3,4 / total
=4/6 = 2/3
Then rolling again
P(greater than 5) = 6/total = 1/6
P( less than 5,greater than 5) = 2/3* 1/6= 1/9
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)
Multiply equation (1) by 2:
22x + 30y + 46 = 0
Multiply equation (2) by 15:
105x - 30y - 300 = 0
Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]
Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3
Therefore, x = 2 and y = -3.
Answer:
9 packages of chocolate bars
Step-by-step explanation:
Let he bought c packages of chocolate bars and t packages of toffee bars,
Since, he bought 1 fewer package of chocolate bars than toffee bars.
⇒ c = t - 1 -----(1)
Also, he handed out out 
of the chocolate bars and 
of the toffee bars,
If he handed out the same number of each kind of candy bar.
( By cross multiplication )
( Division property of equality )
From equation (1),
Hence, he bought 9 packages of chocolate bars.
Step-by-step explanation:
y = 2x
if x = 1 y = 2(1) = 2
if x = 2 y = 2(2) =4
C ⠀ ⠀ ⠀ ⠀ ⠀
The points between 0 and 1 increase in increments of 1/6th
