Take a number x, and multiply it with 5. Take the cube of the resulting number. What is the ratio of this number to the cube of the original number?


Answer:

125:1

Step by Step Explanation:
  1. If we multiply the number x with 5, the resulting number is 5x.
  2. The cube of the resulting number 5x = (5x)3
    = 125x3
  3. The original number is x.
    Cube of the original number = x3.
  4. The ratio of the new number to the original number =  
    New number
    Original number
     
    =  
    125x3
    x3
     
    =  
    125
    1
     
  5. Therefore, the ratio of the new number to the cube of the original number is 125:1.

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