A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 5% real fruit juice. The company used 56.5 liters of real fruit juice to make 80 more liters of Drink B than liters of Drink A. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

Step-by-step explanation:

Let, the company make x liters of drink A

The company makes drink B of (80+x) liter. Since the company make 80 more liters of Drink B than liters Drink A .

Given drink A contains 20% real fruit.

Therefore x liters of drink A contains liters liters real fruit.

Drink B contains 5% real fruit juice.

(80+x) liters of drink B contains liters liter real fruit.

The company used 56.5 liters of real fruit juice to make Drink A and Drink B.

According to the problem,

⇒80+5x = 56.5×20

⇒80+5x=1130

⇒5x=1130-80

⇒5x=1050

⇒x=510

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere