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drek231 [11]
3 years ago
5

How can I solve this problem

Mathematics
2 answers:
Setler [38]3 years ago
7 0

Answer:

6

Step-by-step explanation

STEP 1:

Simplify: 2/3

The Equation at the end of step:          

((4x • 2/3) -  5) -  11  = 0            

STEP 2:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :      

5 = 5/1=

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole

The Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

8x - (5 • 3)     8x - 15

————————————  =  ———————

     3              3  

Equation at the end of step

2

:

 (8x - 15)    

 ————————— -  11  = 0

     3        

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         11     11 • 3

   11 =  ——  =  ——————

         1        3  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(8x-15) - (11 • 3)     8x - 48

——————————————————  =  ———————

        3                 3  

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  8x - 48  =   8 • (x - 6)

Equation at the end of step

4

:

 8 • (x - 6)

 ———————————  = 0

      3    

STEP

5

:

When a fraction equals zero

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 8•(x-6)

 ——————— • 3 = 0 • 3

    3  

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  8  •  (x-6)  = 0

Equations which are never true:

5.2      Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.3      Solve  :    x-6 = 0

Add  6  to both sides of the equation :

                     x = 6

One solution was found :

x = 6

Svetlanka [38]3 years ago
6 0
You will need to download photomath
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If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
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Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

------------

Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

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which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

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