1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frosja888 [35]
3 years ago
12

Solve the equation X-5/6=-1/6

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0

Answer:

  x = 2/3 = 0.667

Step-by-step explanation:

                 x = 2/3 = 0.667

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x+1/6-(5/6)=0  

Step by step solution :

Step  1  :

           5

Simplify   —

           6

Equation at the end of step  1  :

       1     5

 (x +  —) -  —  = 0  

       6     6

Step  2  :

           1

Simplify   —

           6

Equation at the end of step  2  :

       1     5

 (x +  —) -  —  = 0  

       6     6

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  6  as the denominator :

         x     x • 6

    x =  —  =  —————

         1       6  

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

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

Adding fractions that have a common denominator :

3.2       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:

x • 6 + 1     6x + 1

—————————  =  ——————

    6           6    

Equation at the end of step  3  :

 (6x + 1)    5

 ———————— -  —  = 0  

    6        6

Step  4  :

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

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

(6x+1) - (5)     6x - 4

————————————  =  ——————

     6             6    

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  6x - 4  =   2 • (3x - 2)  

Equation at the end of step  5  :

 2 • (3x - 2)

 ————————————  = 0  

      6      

Step  6  :

When a fraction equals zero :

6.1    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:

 2•(3x-2)

 ———————— • 6 = 0 • 6

    6    

Now, on the left hand side, the  6  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (3x-2)  = 0

Equations which are never true :

6.2      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

6.3      Solve  :    3x-2 = 0  

Add  2  to both sides of the equation :  

                     3x = 2

Divide both sides of the equation by 3:

                    x = 2/3 = 0.667

dusya [7]3 years ago
8 0

Answer:

X= 2/3

Step-by-step explanation:

x - 5/6 = -1/6

+5/6       +5/6

x = 2/3

You might be interested in
Use the information provided to write the standard form equation of each ellipse.
Sholpan [36]

Answer:

B

Step-by-step explanation:

6 0
2 years ago
I need help with this ....!!!!!
Paul [167]
A <em>parent function</em> is the simplest function of a family of functions. What this means is that there is typically only <em>one operation</em> being performed in this particular function, and no other modifications or transformations are being performed on it. Which of those functions only contain <em>one operation</em>?
7 0
3 years ago
. Let X and Y be random variables of possible percent returns (0%, 10%,
bazaltina [42]

(a) The marginal distribution of <em>X</em> is

Pr(<em>X</em> = <em>x</em>) = ∑ Pr(<em>X</em> = <em>x</em>, <em>Y</em> = <em>y</em>)

… = 0.0625 + 0.0625 + 0.0625 + 0.0625

… = 0.25

That is, the first equality follows from the law of total probability, with the sum taken over <em>y</em> from {0, 5, 10, 15}. Each probability Pr(<em>X</em> = <em>x</em>, <em>Y</em> = <em>y</em>) is given in the table to be 0.0625.

Similarly, the marginal distribution of <em>Y</em> is

Pr(<em>Y</em> = <em>y</em>) = 0.25

(b) Yes, they're independent because

Pr(<em>X</em> = <em>x</em>, <em>Y</em> = <em>y</em>) = 0.0625,

and

Pr(<em>X</em> = <em>x</em>) Pr(<em>Y</em> = <em>y</em>) = 0.25 • 0.25 = 0.0625.

(c) The mean of <em>X</em> is

E[<em>X</em>] = ∑ <em>x</em> Pr(<em>X</em> = <em>x</em>)

… = 0.25 ∑ <em>x</em>

<em>… </em>= 0.25 (0 + 5 + 10 + 15)

… = 7.5

and you would find the same mean for <em>Y</em>,

E[<em>Y</em>] = 7.5

The variance of <em>X</em> is

V[<em>X</em>] = E[<em>X</em>^2] - E[<em>X</em>]^2

… = (∑ <em>x</em>^2 Pr(<em>X</em> = <em>x</em>)) - 7.5^2

… = 0.25 (∑ <em>x</em>^2) - 56.25

… = 0.25 (0^2 + 5^2 + 10^2 + 15^2) - 56.25

… = 31.25

and similarly,

V[<em>Y</em>] = 31.25

(each sum is taken with <em>x</em> and <em>y</em> from {0, 5, 10, 15})

7 0
3 years ago
Will the answer to this expression be POSITIVE or NEGATIVE?<br><br> - 100 - (- 98)
mina [271]

Answer:

-100-(-98)=-100+98=-2 then negative

3 0
2 years ago
Read 2 more answers
Find all possible values of x in the similar triangles pqr stu
antoniya [11.8K]
If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20) 
               cross multiplying,
         7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
          6x² +15x -75=0
          solving for x,
    x = 5/2 or -5 
5 0
3 years ago
Other questions:
  • D dollars for 18.4 quarts<br> 24 dollars for 6 quarts
    13·1 answer
  • Help I don’t understand this
    6·2 answers
  • PTG has side lengths of 12 cm, 25 cm, and 19 cm. Which type of triangle is PTG?
    6·1 answer
  • How many pounds are in 1 kilogram
    7·2 answers
  • Factor completely. 25w² + 60w + 36 Express the answer in the form (aw+b)2 . Enter your answer in the box.
    7·2 answers
  • Find the volume of a cone with base area 36π ft2 and a height equal to twice the radius. Give your answers both in terms of π an
    7·1 answer
  • Compare the processes for finding common denominators for two, three and four fractions please help
    11·1 answer
  • The cost of renting a car is $29.00 a day plus $0.25 for every kilometre after the first 100km. What is the cost of renting the
    5·1 answer
  • In a game a player wins if he rolls a 6 on a number cube if the number cube is rolled 18 times then what is an reasonable predic
    7·1 answer
  • Stephanie is driving a new route from her house to her job, which is 12 1⁄4 miles away. On this route, she will pay a toll every
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!