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
Y = -3x + 5
5x - 4y = -3
5x - 4(-3x + 5) = -3
5x + 4(3x) - 4(5) = -3
5x + 12x - 20 = -3
17x - 20 = -3
+ 20 + 20
17x = 17
17 17
x = 1
y = -3x + 5
y = -3(1) + 5
y = -3 + 5
y = 2
(x, y) = (1, 2)
As Tina only has 1/4 of a cake. For simplicity sake we can do the calculation with a whole cake and then multiply by four!
First it is stated that cake is divided into six pieces, giving us our first number.
So,
6 x 4 = 24
This means that each friend will get 1/24th of the whole cake.
Yes the answer is not 4/7 its 7/4
Answer:
68% or 
Step-by-step explanation:
In order to find the probability of Geraldo selecting a comic that isn't a DC title, we have to subtract the amount of comics that are DC titles from the total amount of comics and then divide that number by the total amount of comics.
53 - 17 = 36
36/53 = 0.679
Geraldo has a 68% chance of choosing a comic that isn't a DC title.
