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Anon25 [30]
4 years ago
6

PLEASE TELL ME!!!!!! What is the solution to the equation 4/5n-1/5=2/5n

Mathematics
1 answer:
Mashutka [201]4 years ago
4 0

Answer:

4/5n-1/5=2/5n  

One solution was found :

                  n = 1/2 = 0.500

Step-by-step explanation:

Rearrange:

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

                    4/5*n-1/5-(2/5*n)=0  

Step by step solution :

Step  1  :

           2

Simplify   —

           5

Equation at the end of step  1  :

   4    1   2

 ((—•n)-—)-(—•n)  = 0  

   5    5   5

Step  2  :

           1

Simplify   —

           5

Equation at the end of step  2  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

Step  3  :

           4

Simplify   —

           5

Equation at the end of step  3  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

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:

4n - (1)     4n - 1

————————  =  ——————

   5           5    

Equation at the end of step  4  :

 (4n - 1)    2n

 ———————— -  ——  = 0  

    5        5  

Step  5  :

Adding fractions which have a common denominator :

5.1       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:

(4n-1) - (2n)     2n - 1

—————————————  =  ——————

      5             5    

Equation at the end of step  5  :

 2n - 1

 ——————  = 0  

   5    

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:

 2n-1

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2n-1  = 0

Solving a Single Variable Equation :

6.2      Solve  :    2n-1 = 0  

Add  1  to both sides of the equation :  

                     2n = 1

Divide both sides of the equation by 2:

                    n = 1/2 = 0.500

One solution was found :

                  n = 1/2 = 0.500

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9(k-4)-7k=32-2(k-8)
IrinaK [193]

Answer: k=21

Step-by-step explanation:

1. Distribute the 9 to the k and the -4 in the parentheses.

9 · k = 9k and 9 · -4 = -36

You now have 9k - 36 - 7k. You can combine the like terms of 9k and -7k and get 2k, giving you 2k - 36.

2. For the other side of the equation, you also distribute -2 to the k and -8 in the parantheses.

-2 · k = -2k and -2 · -8 = 16

You now have 32 - 2k + 16. Combine the like terms 32 and 16 (32 + 16) and you get 48. This gives you the equation 48 - 2k.

3. Now you should have the equation 2k - 36 = 48 - 2k.

You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.

Ex: 2k - 36 = 48 - 2k

   +2k                +2k

4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.

You should now have 4k = 84 (48 + 36 = 84).

Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.

   

4 0
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

because

1/ (y^(5/4)  =  (1/y) ^(5/4) = y^(-5/4)

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