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
A pipe that carries water
Answer:
The function is polynomial with the following characteristics
Degree: 5 and leading coefficient: -13.
Step-by-step explanation:
You can see the explanation in the image.
I will like to mention that the question is a little obscure, and the explanation applies for the following function:
You always have to choose the highest power of x, in order to find the leading term.
Answer:
x = 12
Step-by-step explanation:
10 – 7x = 2 – 8x
– 7x + 8x = 2 + 10
x = 12
