Question

Ill give you brainliest if you get this right if you don't you get reported

Answer 1

Answer:  " p = $ 6. 75 . "

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Step-by-step explanation:

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Set up a ratio:

       " $4.50 is to "p" ; as "6" is to "9" ;

                                {'six dots' is to 'nine dots.'}.

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   →  in which "p" is the amount (in dollars) for which we are to solve;

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  →     " 4.50 : p::6:9 " ;  

Write this ratio in the form of a fraction:

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  →    " $\frac{4.50}{p} = \frac{6}{9}$ " ;

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Method 1)  

      →  Note: The fraction:  " $\frac{6}{9}$ " ;  can be reduced further and simplified:

      →  " $\frac{6}{9} = \frac{(6/3)}{(9/3)} =\frac{2}{3}$ " ;

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Rewrite the ratio as:

  →   " $\frac{4.50}{p} =\frac{2}{3}$ " ;

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Now, Cross-factor multiply:

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  →   2p = 3 * 4.50 ;

  →   2p = 13.50 ;

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Now, divide each side of the equation by "2" ;

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

  & to solve for "p" :

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  →   2p / 2 = 13.50 / 2 ;

to get:

      → " p = $ 6. 75 " .

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Method 2)

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Write this ratio in the form of a fraction:

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  →    " $\frac{4.50}{p} = \frac{6}{9}$ " ;

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Now, "Cross-factor multiply:

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 →   " 6p =  9 * (4.50) " ; Solve for "p" [in units of dollars] :

 →    " 6p =  40.5 " ;

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Divide Each Side of the equation by "6" ;

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

    & to solve for "p " ;

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    →  6p / 6  =  40.5 / 6 ;

to get:

       →  " p  = $ 6.75 " .

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Using both methods; the value for "p" is the same!

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Hope this is helpful!

 Best wishes to you in your academic pursuits

         — and within the "Brainly" community!

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