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Dima020 [189]
4 years ago
7

What is the solution for 38= 1 3/10b

Mathematics
1 answer:
sasho [114]4 years ago
5 0
Answer:  b = 380/13; or,  29.2307692307692308 ;  round to: 29.231 .
___________________________________________________
Explanation:
__________________
Method 1:
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(1.3) b = 38 ;
__________________________________________________
Divide each side by "(1.3)" ; to isolate "b" on one side of the equation; and to solve for "b" ;
__________________________________________________
   
(1.3)b / (1.3)  = 38 / (1.3) ;
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     b  =  29.2307692307692308 ;  or write as:  29.231 .
__________________________________

Other method:  (13/10) * b = 38 ;    rewrite, substituting:  "(380/10)" for "38" ;
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                          (13/10) * b = (380/10)  ;
_________________________________________________
          Divide EACH SIDE of the equation by: "(13/10)" to isolate "b" on one side of the equation; and to solve for "b" ;
__________________________________________________
         [(13/10)b] / (13/10) = (380/10) / (13/10) ;
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                               b  = (380/10) / (13/10) ;
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          (380/10) / (13/10) = (380/10) *(10/13) ;  The "10s" cancel out to "1";
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Rewrite as:  (380)* (1/13) = 380 / 13;  or; 29.2307692307692308; 
_______________________________________________________
  Answer:  b = 380/13; or; 29.230769230769230 ;  round to 29.231 .
_________________________________________________________
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