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:
The correct option is 1.
Step-by-step explanation:
If a quadratic equation is defined as
.... (1)
Then the sum of the roots is -b/a and the product of roots is c/a.
The given equation is
... (2)
From (1) and (2) we get a=3, b=11 and c=-4.
The sum of roots is

The sum of roots is
.
Therefore the correct option is 1.
Answer:
d≤48/2.15
Step-by-step explanation:
Step one:
Given data
Claudia spends $2.15 a day for lunch.
We are told that her balance is $48.00
let the number of days be d
Step two:
The maximum number of days she can eat is given as
d≤48/2.15
d≤22.33 days
The correct answer is not up there. its -125a^7
Let
x---------> the length of the sides that have the same length in meters
we know that
the perimeter of the figure is equal to

<u>solve for x</u>



therefore
<u>the answer is</u>
Each of the same length side is
long