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Hunter-Best [27]
3 years ago
13

Was my formula correct?

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0
A(b+c)=a*b+a*c CORRECT

2(y+11)=2*y+2*11), BUT better 11y+22 both are CORRET

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The answer is:  " 11 " .
____________________________________________________
            →     " x  =  11  "  .
____________________________________________________
Explanation:
____________________________________________________
Set up the ratio/ proportion as a fraction:

6 cm / 48 cm = 5 cm / (3x + 7) ; 

→ The "cm" units cancel out; since:  "cm/cm = 1 " ; 

→ The "6/48" = "(6 ÷ 6) / (48 ÷ 6) =  " 1/8 " ; 

→ Rewrite as:  \frac{1}{8} = \frac{5}{3x + 7} ;

Now, we can "cross-multiply" :
__________________________________________________

<u>Note</u>:  Given: \frac{a}{b} = \frac{c}{d} ;  ad = bc ; 
              {b\neq 0 ;  d \neq 0} .
__________________________________________________
 
As such:      
 
    1 * (3x + 7) = 8 * 5 ;

   →  3x + 7 = 40 ; 

Subtract "7" from each side of the equation:

   →  3x + 7 − 7 = 40 <span>− 7 ; 
</span>
to get:  

   → 3x = 33 ; 

Now, divide each side of the equation by "3" ; 
   to isolate "x" on one side of the equation; & to solve for "x" ; 

   →  3x / 3 = 33 / 3 ; 

to get: 
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   →    " x = 11 " .
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   →   The answer is:  " 11 " .
____________________________________________________
4 0
3 years ago
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