211k views
0 votes
What is the solution for 38= 1 3/10b

1 Answer

1 vote
Answer: b = 380/13; or, 29.2307692307692308 ; round to: 29.231 .
___________________________________________________
Step-by-step explanation:
__________________
Method 1:
___________________________________________________
(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) ;
__________________________________________________
b = 29.2307692307692308 ; or write as: 29.231 .
__________________________________

Other method: (13/10) * b = 38 ; rewrite, substituting: "(380/10)" for "38" ;
_________________________________________________
(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) ;
__________________________________________________
b = (380/10) / (13/10) ;
__________________________________________________
(380/10) / (13/10) = (380/10) *(10/13) ; The "10s" cancel out to "1";
__________________________________________________
Rewrite as: (380)* (1/13) = 380 / 13; or; 29.2307692307692308;
_______________________________________________________
Answer: b = 380/13; or; 29.230769230769230 ; round to 29.231 .
_________________________________________________________
User Michael Nguyen
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories