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maria [59]
3 years ago
13

angela bought a pair of shoes at 12% off and receive an additional membership discount of 70 pesos if the pair of shoes cost her

1866 pesos what was the original price of the shoes​
Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

The original price of the shoes was of 2200 pesos

Step-by-step explanation:

She bought the shoes for 1866 pesos.

She receibed a discount of 70 pesos, so the cost, with the discount, is 1866 + 70 = 1936 pesos.

The pair was bought at 12% off, that is, 1936 pesos is 100 - 12 = 88% of the original price. Then

0.88x = 1936

x = \frac{1936}{0.88}

x = 2200

The original price of the shoes was of 2200 pesos

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B is the midpoint of AC. If Ab= x +5 and BC = 2x-11, find the measure of Ab.
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__________________________

Measurement of "AC" :

(x + 5) + (2x <span>− 11) ;
________________________

Find the measurement of "AB" [which is: "(x+5)" ]: 
______________________________________________
First, simplify to find the measurement of "AC" :
________________________________________
 </span>(x + 5) + (2x − 11) ;

=  (x + 5) + 1(2x − 11) ;

=   x + 5 + 2x − 11 ;

 → Combine the "like terms" ; 

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______________
to get:  3x − 6 ; 
_______________
So,  (x + 5) + (2x − 11) =  3x − 6 ;
_______________________________
Solve for:  "(x + 5)"
_______________________________

We have: 
_______________________________

(x + 5) + (2x − 11) =  3x − 6  ;

Subtract:  "(2x − 11)" ;  from EACH SIDE of the equation ;
                                      to isolate "(x + 5)" on one side of the equation; 
                                      and to solve for "(x + 5)" ;
________________________________________________________
    →  (x + 5) + (2x − 11) − (2x − 11) =  (3x − 6) − (2x − 11) ;
  
         → (x + 5)  = (3x − 6) − (2x − 11) ;
_________________________________________________
  Note:  Simplify:  "(3x − 6) − (2x − 11)" ;

     →  (3x − 6) − (2x − 11)  ;
 
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__________________________
   →  Combine the "like terms" :
_____________________________
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_____________________________
To get:  x + 5 ; 

So we have:
______________________________
 x + 5 = x + 5 ; 
______________________________

So, x = all real numbers.

x = <span>ℝ </span>
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