Food and clothing or shipped to victims of a natural disaster. Each carton of food will feed 12 people, while each carton of clothing will help five people. Each 20 ft.³ box of food weighs 50 pounds and each 5 ft.³ box of clothing weighs 25 pounds. The commercial carriers transporting food and clothing are bound by the following constraints. -The total weight per carrier cannot exceed 21,000 pounds. -The total volume must not be more than 6000 ft.³. How many cartons of food and clothing should be sent with each plane shipment to maximize the number of people who can be helped? 

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

lol 2

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

b and c are the correct answers.

good luck on the quiz! : d