A) 950, 900, 1000
b) 1860, 1900, 2000
c) 200, 200, 0
d) 650, 600, 1000
e) 19900, 19900, 20000
Answer:
cost of one medium drink = $3.80
cost of one large popcorn = $6.25
Step-by-step explanation:
Let D = cost of one medium drink
Let P = cost of one large popcorn
If a couple bought 2 medium drinks and a large popcorn for $13.85:
⇒ 2D + P = 13.85
If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:
⇒ 3D + 2P = 23.90
Rewrite 2D + P = 13.85 to make P the subject:
⇒ P = 13.85 - 2D
Substitute into 3D + 2P = 23.90 and solve for D:
⇒ 3D + 2(13.85 - 2D) = 23.90
⇒ 3D + 27.7 - 4D = 23.90
⇒ D = 3.8
Substitute found value of D into P = 13.85 - 2D to find P:
⇒ P = 13.85 - (2 x 3.8) = 6.25
Therefore,
cost of one medium drink = $3.80
cost of one large popcorn = $6.25
Answer: F(x)=125x+2500
Hope this helps let me know if you need me to explain
Answer: Since the second differences are constant, there is a quadratic relationship between and .
Step-by-step explanation:
Answer:
x = 19, y = -5
Step-by-step explanation:
x + y = 14 => x= 14-y
2x + 4y = 18 => 2(x+2y)=18 => x+2y=9
x+2y=9 => (14 - y) + 2y = 9
14 + y = 9 => y = -5
x + (-5) = 14 => x=19