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
polet [3.4K]
3 years ago
12

What is the value of x? 6.75+ x = 131

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

Answer:

x = 497/4 = 124.250

Step-by-step explanation:

Step  1  :

           27

Simplify   ——

           4

Equation at the end of step  1  :

  27          

 (—— +  x) -  131  = 0

  4          

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

        x     x • 4

   x =  —  =  —————

        1       4  

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 :

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:

27 + x • 4     4x + 27

——————————  =  ———————

    4             4  

Equation at the end of step  2  :

 (4x + 27)    

 ————————— -  131  = 0

     4        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

          131     131 • 4

   131 =  ———  =  ———————

           1         4  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(4x+27) - (131 • 4)     4x - 497

———————————————————  =  ————————

         4                 4    

Equation at the end of step  3  :

 4x - 497

 ————————  = 0

    4    

Step  4  :

When a fraction equals zero :

4.1    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, multiplys both sides of the equation by the denominator

Here's how:

 4x-497

 —————— • 4 = 0 • 4

   4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  4x-497  = 0

Solving a Single Variable Equation :

4.2      Solve  :    4x-497 = 0

Add  497  to both sides of the equation :

                     4x = 497

Divide both sides of the equation by 4:

                    x = 497/4 = 124.250

One solution was found :

                  x = 497/4 = 124.250

Processing ends successfully

plz mark me as brainliest :)

You might be interested in
How does the number of decimal places in the factors relate to the number of decimal places in the product of the example
Nostrana [21]
To multiply decimals: Set up and multiply the numbers as you do with whole numbers. Count the total number of decimal places in both of the factors. Place the decimal point in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.
7 0
3 years ago
What is the measure of angle C
Alexxandr [17]
You need to learn no to copy it kiddo
8 0
3 years ago
Read 2 more answers
Is 10.2 x 10 written in scientific notation. EXPLAIN
Virty [35]

Answer:

No

Step-by-step explanation:

Scientific notation has to be a number between 1 and 10 times 10 to the something power. 10.2 is not between 1 and 10

7 0
3 years ago
Read 2 more answers
The population of pine bluff is 6791 and is decreasing at a rate of 7 per year.Write the linear equation that models this situat
Anna11 [10]

Answer:

y= 6971 -7 x  OR y = -7x + 6971

Step-by-step explanation:

the 6971 is the original number you started with, you are now decreasing by 7, so you use the value of -7. The x is the number of years that pass by, so the variable x affects the number 7 because it says decreases by 7 per year. The x does not go with 6971 as that number doesn't get directly affected.

3 0
3 years ago
Read 2 more answers
Which of the following is an equation of a line perpendicular to the equation
arlik [135]
B is the answer ma brutha
5 0
2 years ago
Other questions:
  • On a horizontal number line, a point is located at +15. Describe the distance and direction of the point.
    15·1 answer
  • The scale of a drawing is 2 cm : 1 mm. Is the scale drawing larger or smaller than the actual object? Explain.
    6·2 answers
  • . The relationship between the length of one side of a square, x, and the perimeter of the square, y, can be represented in an x
    6·1 answer
  • Mr.Gomez built a deck .The deck had an area of 29 square meters. Which figure could represent the deck?
    8·1 answer
  • Estimate the sale price of a futon you saw on eBay that cost $108.99 and is now on sale for 10% off. Round your answer to the ne
    7·1 answer
  • Solve for x: 3-(2x-5) is less than -4(x+2)
    5·1 answer
  • Which dimensions will create an unlimited number of triangles?
    6·2 answers
  • Find the lateral area for the pyramid with the equilateral base.<br><br>144<br>180<br>288
    8·2 answers
  • The diagonals of a rhombus are 16 and 30. What is the perimeter
    9·2 answers
  • Takiya recorded the heights of two sets of plants, one set planted in the shade and one set planted in full sun. Her data are sh
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!