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Jenny wants to determine if a.brand name washing.detergent is better then her old detergent . She washes 10 dirty t- shirts with the new washing detergent and 10 dirty t-'shirts with the old detergent identify the.dependent and the independent varibles for.this experiment

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An independent variable is always going to be the thing deliberately changed.  And the dependant is the thing that is measured.

The independent variable would be the detergent type.  

And the dependant would be the degree to which each shirt was cleaned.