Respuesta :
The relationship between the three pieces is such that, their
sum is the length of the given stick.
Correct response:
Three equations that show different ways in which he can
break the stick of length l based on a unit length x are;
- l = x + 2·x + 3·x
- l = x + 5·x + 8·x
- l = 3·x + 2·x + 6·x
How to write equations of three variables that have the same total sum?
Given parameters are;
The number of pieces into which Christopher has to break the stick = 3 pieces
Length of a piece ≠ The length of the other pieces
Required:
Three equations that shows the different ways Christopher can break the stick.
Solution:
Let l represent the length of the stick, let x, represent a unit
length, and 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
Where;
The the relationship between the lengths of the pieces are;
A = x ≠ B = 2·x ≠ C = 3·x
[tex]x = \mathbf{ \dfrac{l}{6}}[/tex]
- l = x + 5·x + 8·x
A = x ≠ B = 5·x ≠ C = 8·x
[tex]x = \mathbf{ \dfrac{l}{14}}[/tex]
- l = 3·x + 2·x + 6·x
Where;
A = 3·x ≠ B = 2·x ≠ C = 6·x
[tex]x = \mathbf{\dfrac{l}{11}}[/tex]
Learn more about writing equations here:
https://brainly.com/question/17218287
