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yulyashka [42]
3 years ago
10

A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is t

he weight of the elephant than the weight of the lion?
Mathematics
1 answer:
maria [59]3 years ago
4 0
Answer:  22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) * (x) = (eight of the elephant)  ;  Solve for "x" .
_____________________________________________________
   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
    
   → (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;
________________________________________________________
     →  x  = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
     →  Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
     →  x = (<span>9*10</span>³) / (4*10²) =  (9*10⁽³⁻²⁾) / 4  =  (9*10¹) / 4  ;
__________________________________________________________  
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.
__________________________________________________________
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