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
yawa3891 [41]
3 years ago
7

Solve for x: 3/4x+5/4=4x?

Mathematics
2 answers:
Advocard [28]3 years ago
5 0

Answer:

x = \frac{5}{13}

Step-by-step explanation:

Given

\frac{3}{4} x + \frac{5}{4} = 4x

Multiply through by 4 to clear the fractions

3x + 5 = 16x ( subtract 3x from both sides )

5 = 13x ( divide both sides by 13 )

\frac{5}{13} = x

butalik [34]3 years ago
4 0

Answer:

x = 5/13 = 0.385

Step-by-step explanation:

Step  1  :

           5

Simplify   —

           4

Equation at the end of step  1  :

   3         5    

 ((— • x) +  —) -  4x  = 0

   4         4    

Step  2  :

           3

Simplify   —

           4

Equation at the end of step  2  :

   3         5    

 ((— • x) +  —) -  4x  = 0

   4         4    

Step  3  :

Adding fractions which have a common denominator :

3.1       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:

3x + 5     3x + 5

——————  =  ——————

  4          4  

Equation at the end of step  3  :

 (3x + 5)    

 ———————— -  4x  = 0

    4        

Step  4  :

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a whole from a fraction

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

         4x     4x • 4

   4x =  ——  =  ——————

         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 :

4.2       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:

(3x+5) - (4x • 4)     5 - 13x

—————————————————  =  ———————

        4                4  

Equation at the end of step  4  :

 5 - 13x

 ———————  = 0

    4  

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:

 5-13x

 ————— • 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 :

  5-13x  = 0

Solving a Single Variable Equation :

5.2      Solve  :    -13x+5 = 0

Subtract  5  from both sides of the equation :

                     -13x = -5

Multiply both sides of the equation by (-1) :  13x = 5

Divide both sides of the equation by 13:

                    x = 5/13 = 0.385

One solution was found :

                  x = 5/13 = 0.385

Processing ends successfully

plz mark me as brainliest :)

You might be interested in
I need your help guys please can you answer for me please ​
dybincka [34]
1. In parallelograms, opposite sides are congruent. Therefore EV=16
2. In parallelograms, adjacent angles add up to 180°, so measure of angle V = 100°
3. Opposite angles are equal so measure of angle L = 95°
4. Diagonals of parallelograms bisect each other. DE=10
5. Same rule as #4. LV=18
7 0
2 years ago
Did i do this right?
Sveta_85 [38]

Answer:

a) FALSE

Step-by-step explanation:

a) FALSE (it was translated from quadrant III to quadrant I)

b) TRUE

c) TRUE

d) TRUE

e) FALSE

8 0
3 years ago
For a new neighborhood, 1.4 acres of land will be split into 8 lots. How many acres of land
Iteru [2.4K]

Answer:

0.175

Step-by-step explanation:

8/1.4 = 0.175 which is how many each will have

5 0
2 years ago
What is the constant rate of change in the table?
Zina [86]
Well,you have the answer on your paper already...
8 0
3 years ago
Write two properties of right angled triangle​
leonid [27]

Answer:

The properties of right angle triangle are as follows

  1. the hypotenuse is the longest side
  2. one angle is 90 degree then other angle will be also 90 degree.

5 0
2 years ago
Other questions:
  • How do I solve 20? Thanks
    9·1 answer
  • The graph shows the distance, y, that a car traveled in x hours:
    14·2 answers
  • How do you simply algebra <br><br> 10+3c+5d-7c+d
    8·1 answer
  • What is the equation of the line whose y-intercept is 3 and slope is 1?
    12·1 answer
  • Please help! I can't figure this out
    5·2 answers
  • What is this? I’m too dumb.
    12·2 answers
  • Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow
    14·1 answer
  • The sum of three consecutive integers is – 135. Find the three integers.
    7·2 answers
  • Which proportion is correct?
    8·1 answer
  • A farmer feeds her four horses 64 bales of hay each week. How many
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!