Respuesta :

The denominators are equal, so just add the numerators.

5 + 9 = 14

5/q + 9/q = 14/q

Answer:  The correct answer is:  " 14 " .

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Step-by-step explanation:

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Note:

[tex](\frac{a}{c})[/tex]  +  [tex](\frac{b}{c})[/tex]  

  =    [tex]\frac{(a+b)}{c}[/tex] ;  

  only if:  [tex](c\neq0)[/tex] ;  

   →   {since one cannot "divide by 0" .}.

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We are given:

[tex](\frac{5}{q})[/tex]  +  [tex](\frac{9}{q})[/tex]  

         =     [tex](\frac{?}{q})[/tex]  ;    Solve for:  " ? " ;

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Since the "denominators" are the same ; we can solve using the aforementioned "formula";

 →  given that:  " [tex](q\neq0)[/tex] "  ;  

         →  {since one cannot "divide by 0" .}.

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→  So;  given:

 [tex](\frac{5}{q})[/tex]   +   [tex](\frac{9}{q})[/tex]                                          

                     =   [tex](\frac{?}{q})[/tex] ;

→ We can simplify the "left-hand side" of the equation               accordingly:

    →  " [tex](\frac{5}{q})[/tex]  +  [tex](\frac{9}{q})[/tex]  "

                    =   [tex](\frac{(5+9)}{q})[/tex]  

                    =   [tex](\frac{14}{q})[/tex] ;

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   →  " [tex](\frac{14}{q})[/tex]  =  [tex](\frac{?}{q})[/tex] " ;  

   →  Solve for  " ? " ;

   →  " ? " =  14 .

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The answer is:  " 14 " .

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Hope this answer — and explanation — is of help to you!

  Best wishes in your academic endeavors —

         and within the "Brainly" community!

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