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
Aleonysh [2.5K]
3 years ago
5

The numerator of a given fraction is 4 less than the denominator. if 3 is subtracted from the numerator and 5 is added to the de

nominator, the fraction becomes 1/4, what is the given fraction?​
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0

Answer:

Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.

Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .

Let the fraction be  

Since the numerator of a given fraction is 4 less than its denominator we have,

Numerator=Denominator-4

⇒ a=b-4

Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have

4(a-3)=1(b+5)

4a-12=b+5

4a-b=17

4(b-4)-b=17   ( ∵ a=b-4)

4b-16-b=17

3b=17+16

3b=33

⇒ b=11

Now put b=11 in a=b-4 we get

a=11-4

⇒  the fraction is a/b=7/11

You might be interested in
G(x)=2x-8, f(x)=5-g(x) what is the value of f(10)
Rudik [331]

By evaluating the function, we conclude that f(10) = -7

<h3>How to evaluate the function f(x)?</h3>

Here we know that:

g(x) = 2x - 8

And f(x) = 5 - g(x).

Then we can write:

f(x) = 5 - (2x - 8) = 5 - 2x + 8 = -2x + 13

Now we want ot evaluate it in x = 10, this means replace the variable by the number 10.

f(10) = -2*10 + 13 = -20 + 13 = -7

Then, we conclude that f(10) = 7

If you want to learn more about evaluating:

brainly.com/question/1719822

#SPJ1

5 0
1 year ago
Please resolve this is for today
Fynjy0 [20]

Answer:

A Square plus B square equals

Step-by-step explanation:

T

5 0
2 years ago
Cual es la. Longitud de un lápiz 2
asambeis [7]

<span>Traduje su pregunta al Inglés y respondió a esto. La longitud de un lápiz estándar número 2 es de 7,5 pulgadas, y el lápiz tiene un diámetro de unos 7 milímetros. Espero que esto ayudó☻</span>



I translated your question to english and answered this. <span>The length of a standard number 2 pencil is 7.5 inches, and the pencil has a diameter of about 7 millimeters. Hope this helped ☻

</span>
4 0
3 years ago
Do anybody know this answer because I need help
Papessa [141]

Answer:

x=-7

Step-by-step explanation:

divide 12 on both sides and that equals -7

8 0
3 years ago
A bag contains 12 red marbles The ratio of red marbles to blue marbles is 4:3?
Ostrovityanka [42]

There are 9 blue marbles.

Step-by-step explanation:

12÷4=3

3×3=9

8 0
2 years ago
Other questions:
  • Simplify (9s/2t)* (2s/3)
    11·2 answers
  • I need help with some maths homework what is the answer 3(x-3)=0
    10·2 answers
  • Thanks for the help!​
    11·1 answer
  • An 8-pack of dish towels costs $7.92. What is the unit price?
    12·1 answer
  • 50 POINTS! WILL MARK BRAINLEST! NEED IN 10 - 15 MINUTES!
    15·1 answer
  • What is the length of PR
    15·1 answer
  • What is the volume of the rectangular pyramid shown​
    8·1 answer
  • The volume of a cube is 216 in2. A rectangular prism has a length
    14·1 answer
  • Can someone help me solve this matrix
    10·1 answer
  • Which sentence means Jack ate 2 ⁄ 4 of a pizza?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!