60 points and branilest if you answer It takes 3 ½ spoons of chocolate syrup to make 3 ⅗ gallons of chocolate milk. How many spoons of chocolate syrup would it take to make 6 gallons of chocolate milk ?

4 gallons require 5 5/39 spoons of syrup

Step-by-step explanation:

Given it takes 3 2/6 spoons to make 2 3/5 gallons of chocolate milk

i.e. 20/6 spoons make up 13/5 gallons of milk

⇒1 gallon require 20/6/13/5  spoons of milk

⇒ 20 x 5/6 x 13 spoons of milk

⇒ 100/78 spoons of milk

Therefore 4 gallons require 4 x 100/78 spoons

⇒ 400/78 spoons

⇒ 200/39 spoons

⇒ 5 5/39 spoons

5 5/6 spoons

Step-by-step explanation:

We can use ratios to solve

3 1/2 spoons        x spoons

   =

3  3/5 gallons       6 gallons

Using cross products

3 1/2 *6 = 3 3/5x

Changing to an improper fraction

7/2*6= 18/5*x

21 = 18/5x

Multiply by 5/18

21 * 5/18 = 18/5 x*5/18

21/18 *5 =x

7/6 *5 =x

35/6=x

Changing to a mixed number

5 5/6 spoons

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3