Answer: Magnum = $2.10
Paddlepop = $1.20
<u>Step-by-step explanation:</u>
Let M represent Magnum and P represent Paddlepop, then create a system of equations using the cost as one equation and the difference in price as the other. Use the elimination method to solve for one of the variables and substitution to solve for the other.
3M + 2P = 8.70 → 1(3M + 2P = 8.70) → 3M + 2P = 8.70
M - P = 0.90 → 2(M - P = 0.90) → <u>2M - 2P = 1.80 </u>
5M = 10.50
M = 2.10
M - P = 0.90
2.10 - P = 0.90
-P = -1.20
P = 1.20
Answer:
Perimeter = 60
Step-by-step explanation:
because l bisects AB:
3y+1 = 5y-5
reduce:
2y = 6
y = 3
and:
2x+4 = 4x-12
reduce:
2x = 16
x = 8
AB = (3y+1) + (5y-5)
AB = 8y-4
substitute for y
AB = 8(3)-4
AB = 20
Perimeter = (2x+4) + (4x-12) + 20
reduce:
perimeter = 6x+12
substitute for x:
Perimeter =6(8)+12
reduce:
Perimeter = 60
The equation of a circle:

(h, k) - center
r - radius
Look at the picture:
center: (4, -2) → h = 4, k = -2
radius: r= 5
Substitute:

Answer:
JM = 10
Step-by-step explanation:
Because MN║JL,

= 
2(5) = 1(2x + 4)
10 = 2x + 4
2x = 6
x = 3
JM = 2x + 4 = 2(3) + 4 = 6 + 4 = 10