Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
For any probability the formula is

. In this case we have 4 desired outcomes (the odds, 1, 3 and 5, and also 6) out of 6 total sides, so our probability

.
Mutually exclusive means the events cant occur at the same time. In our case it is not possible to roll both a 6 and an odd number at the same time since 6 is even. Therefore the events ARE mutually exclusive.
Combine the two parts and C is the correct answer. <span />
What kind of subject do you tutor in ? c:
Answer:
She can make 27 bags
2 pieces of candy is left over
Step-by-step explanation:
She has 245 Chocolate Twisters.
she puts 9 Chocolate Twisters in each treat bag,
1 bag hold 9 chocolates
9 chocolates = 1 bag
So 245 chocolates in how many bags
Divide 245 by 9
use long division
2 7 -----------> Quotient
------------------------------------
9 245
18 (subtract it)
-------------------------
65
63 (subtract it)
----------------------------
2 -----------> remainder
She can make 27 bags
2 pieces of candy is left over