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
natulia [17]
3 years ago
9

Solve the rational equation 1/n-4 - 2/n = 3/4-n

Mathematics
1 answer:
Leokris [45]3 years ago
5 0

Answer:

n=4

Step-by-step explanation:

Given equation: \[\frac{1}{n-4}-\frac{2}{n}=\frac{3}{4-n}\]

Simplifying the Left Hand Side of the equation by taking the LCM of the denominator terms:

\[\frac{n}{n*(n-4)}-\frac{2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2n + 8}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{8 - n}{n*(n-4)}=\frac{3}{4-n}\]

=> \[(8-n)*(4-n) =n*(n-4)*3\]

=> \[n-8 =3n\]

=> \[2n =8\]

=> n = 4

You might be interested in
What is the domain of function of f(x)=-2x+4x
dem82 [27]

Answer:

Domain= x∉Real numbers

Step-by-step explanation:

4 0
3 years ago
Can any help me with this question
Y_Kistochka [10]
Ok...there are 6 days in the week that end in a y: Monday, Wednesday, Thursday, Friday, Saturday, Sunday.
Saturday is one out of the 6, so it's 1/6....If they want it as a percent, then divide 1 by 6, and multiply it by 100.

Hope I helped!
4 0
3 years ago
Brainers, please help me out. Thanks
quester [9]

The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.

From the picture you have a = 10 and c = 15.

Now you have:

10^2 + b^2 = 15^2

Simplify:

100 + b^2 = 225

Subtract 100 from both sides:

b^2 = 125

Take the square root of both sides:

b = √125

b = 11.2

6 0
3 years ago
What is the missing number?<br>45/9 = 12 - ?​
shutvik [7]

Answer:

7

Step-by-step explanation:

45/9 = 5

12 - 7 = 5

7 0
3 years ago
The surface area of a tabletop is 5760 square inches. What expression shows this number in scientific notation?
aniked [119]
The answer is C

5.76 x 10 ^3 means you move the decimal 3 times:

57.6> 576.0> 5760
8 0
3 years ago
Other questions:
  • Rewrite 24 * x in a different way, using the commutative property of multiplication. Note that x represents a real number.
    12·2 answers
  • The store sale 85% off only today. Ella planned to buy these skates anyway, and so she bought them immediately.
    14·1 answer
  • The histogram below shows information about the hours students spent exercising in a week: 
    8·1 answer
  • What is the leg length of an isosceles right triangle with a hypotenuse of 32 inches?
    8·2 answers
  • bobs bill for dinner at surefire steak house was $45. in addition, he paid 5% of the bill in tax, and he left a tip for 15% of t
    8·2 answers
  • Question 1(Multiple Choice Worth 1 points)
    15·2 answers
  • An engineer studying fuel usage collected data on the speed a car traveled (in kilometers per hour) and how much fuel it used (i
    10·1 answer
  • HELP, EXTRA POINTS AND BRAINIEST UMM DONT GUESS AND "NO NO NOOO LINKS" ty
    10·1 answer
  • What is the equation of the line that is the perpendicular bisector of the segment
    6·1 answer
  • PLEASEEEE HELP MEEEEEEEEEEEE
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!