Respuesta :

The correct answer is:   " 22. 7  kg "  .

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    →    50.0 lb   =   " 22. 7   kg "   .

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Explanation:

To solve:

Given:  " 50.0 lb. "  {that is;  " 50 pounds " }  ;

               →   Convert this value to units of "kg" (kilograms) .

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Note the exact conversion:   " 1 kg   =   2.2  lbs. "  .

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So:

→   50.0  lb.  *  ([tex]\frac{1 kg}{2.2 lb}[/tex]) =  __?__   kg  ?   ;

→  The units of:  " lb."  cancel out (to " 1 " ) ;  

    → {since:  "([tex]\frac{lb.}{lb.}[/tex])  = 1 " } ;

    →  to get:  "([tex]\frac{50.0}{2.2}[/tex])" kg ;

→ Note that the "2.2" value is an "exact figure" ;

    →  So we consider the number of significant figures in the value —

            →  " 50.0 "  which has " 3 (three)" significant figures.

            →  "([tex]\frac{50}{2.2}[/tex])"  kg  ;

                      =    " (50  ÷  2.2) "  kg  ;

                     =     22.727272.... kg ;

            →  Round to "3 (three)" significant figures :

                     =   " 22. 7   kg  .

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The answer is:   " 22. 7   kg " .

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    →   50.0 lb   =   " 22. 7   kg "   .

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