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christopher has a stick that he has marked out in tenths. He has to break the stick into three pieces of which no two pieces can have the same length. give three equations that show different ways in which he could break the stick.

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Answer:

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Step-by-step explanation:

The three equations that show different ways in which he could break the stick are :

  1. l = x + 2·x + 3·x
  2. l = x + 5·x + 8·x
  3. l = 3·x + 2·x + 6·x

Given parameters :

The number of pieces into which Christopher has to break the stick = 3 pieces

Length of a piece ≠ The length of the other pieces

  • Let l represent the length of the stick,
  • Let x, represent a unit length,
  • Let, A, B, and C, represent the length of the pieces.

Three possible equations that can be written using multiples of x are;

  • l = x + 2·x + 3·x

      A = x ≠ B = 2·x ≠ C = 3·x

      x=1/6

  • l = x + 5·x + 8·x

     A = x ≠ B = 5·x ≠ C = 8·x

     x=1/14

  • l = 3·x + 2·x + 6·x

      A = 3·x ≠ B = 2·x ≠ C = 6·x

     x=1/11

     

The three equations that show different ways in which he could break the stick are l = x + 2·x + 3·x, l = x + 5·x + 8·x and l = 3·x + 2·x + 6·x.

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