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Nataliya [291]
3 years ago
13

I cant figure this out...

Mathematics
1 answer:
noname [10]3 years ago
3 0
I believe the answer would be the 3rd choice. :)
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2384598 + 6000000 = 8384598
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You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you
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Sanjay uses the steps below to solve the equation 4 p + two-fifths (10 + 2 p) = 8. Step 1 Multiply both sides of the equation by
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Answer:

Step 1 Multiply both sides of the equation by Five-halves

Step-by-step explanation:

First mistake:

Step 1 Multiply both sides of the equation by Five-halves

Correct First step:

Should have subtracted 4p from both sides

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Solve the following system of equations
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What is the value of x in the proportion StartFraction 6 x plus 1 over 7 EndFraction equals StartFraction 18 x minus 2 over 14 E
Phoenix [80]
The correct answer is:  [C]:  " two-thirds <span>" .
</span>____________________________________________________
" x = " \frac{2}{3} " ; which is:  " two-thirds " .
____________________________________________________
Explanation:
____________________________________________________

Given:  " \frac{6x + 1}{7} = \frac{18x-2}{14} " ;  Solve for "x" ; 
____________________________________________________
First, multiply the first fraction by "\frac{2}{2}" ;  
   { since: "\frac{2}{2} = 1" ; and since any value, multiplied by "1" results in that exact same value.  By multiplying the first fraction by:                   "\frac{2}{2}" , we can get the "denominator" in the first fraction equal to the "denominator" of the second fraction.

→ \frac{2}{2}*( \frac{6x + 1}{7})=\frac{2(6x+1)}{2(7)} = \\    "\frac{2(6x+1)}{14}" .
___________________________________________________________
Note the "distributive property of multiplication" :
_______________________________________________________
  a(b + c)  = ab  + ac ; 

  a(b – c)  = ab – ac .
_______________________________________________________
As such, take the "numerator" ; which is:

" 2(6x + 1) " ;  and expand:

→  =  (2*6x) + (2*1) =  " 12x + 2 " ;

Now, we can rewrite the entire expression:
________________________________________
    "\frac{12x+2}{14}"  ;  and we can rewrite the entire equation:
________________________________________

→  " \frac{12x+2}{14} = \frac{18x-2}{14} [/tex] " ;

Let us simplify this:  " 12x + 2 = 18x – 2 " ;  Solve for "x" ;
_____________________________________________________
   
  →  18x – 2 = 12x + 2 ; 

  →  Subtract "12x" from each side of the equation; and subtract "2" from each side of the equation:


  →  18x – 2 – 12x – 2 = 12x + 2 – 12x – 2 ; 

to get: 

       →  6x – 4 = 0  ; 

Add "4" to each side of the equation:

       →  6x – 4 + 4 = 0 + 4 ; 

to get:

       →  6x = 4  ;

Divide each side of the equation by "6" ;
  to isolate "x" on one side of the equation; & to solve for "x" ; 

→ 6x / 6  = 4 / 6  ;

→  x = 4/6 ;   → "4/6" = "(4÷2)/(6÷2)" = "2/3" .

→  x = 2/3 ;   →  x = " \frac{2}{3} " ;  which is "two-thirds" ; 
         
                                            →  which is:  Answer choice:  [C]:  "<span> two-thirds</span><span>" .
</span>__________________________________________________________
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3 years ago
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