Respuesta :

Answer:   " p = 6 [tex]\frac{1}{8}[/tex] " ;  or, write as:  " 6.125 " .

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   { when "x = 7" }.

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Step-by-step explanation:

p/x ;

when p = 7 ;  x = 8 ;

7:8

p:x:: p:7 ;

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7:8::p:7 ;  write as a "fraction:

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7/8 = p/7 ;  

To find "p" when "x = 7 " ;

Cross-factor multiply:

      →   that is:

      →  [tex]\frac{a}{b} *\frac{c}{d}[/tex]  ;  ↔  ad = bc ;  

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      →  [tex]\frac{7}{8} *\frac{p}{7}[/tex]  ;  ↔  (7 * 7) = (8 * p) ;

      →  (7 * 7) = (8 * p) ;

      →    49   =  8p ;

Divide each side of the equation by "8" ;

 to isolate "p" on one side of the equation;

 & to solve for "p" ;

      →  49 / 8  =  8p / 8 ;

to get:

      →  49/8 = p ;

    ↔  p = 48/9 ;

→ 49/8  = 49 ÷ 8 = ? ;

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           6

  8  ⟌49

      - 48

    _____

           1  

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6 R 1 ;   6 1/8 ;  or; 6.125.

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Answer:   " p = 6 [tex]\frac{1}{8}[/tex] " ;  or, write as:  " 6.125 " .

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   { when "x = 7" }.

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