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
Sonja [21]
2 years ago
15

The numerator of a fraction is 5 more than the denominator. If 3 is added to both numerator and denominator the fractions become

s 2. What is the original fraction?
​
Mathematics
1 answer:
katen-ka-za [31]2 years ago
8 0

Answer:

Step-by-step explanation:

Given :-

The numerator of a fraction is 5 less than its denominator.

If 3 is added to the numerator and denominator both , the fraction becomes 4/5.

To Find :-

The Original Number

Solution :-

Let denominator of the fraction be = x

And then numerator be x – 5

Original fraction = (x – 5)/x

According to the Question,

⇒  (x – 5 + 3)/(x + 3) = 4/5

⇒ (x – 2)/(x + 3) = 4/5

⇒ 5(x – 2) = 4x + 12

(By cross multiplication)

⇒ 5x – 10 = 4x + 12

⇒ 5x - 4x = 12 + 10

⇒ x = 22

Original fraction = (x – 5)/x

Original fraction  = (22 – 5)/22

Original fraction = 17/22

Hence, the original number is 17/22.

You might be interested in
Which is the graph of a quadratic equation that has a negative discriminant?
Natasha2012 [34]

Answer:

D

Step-by-step explanation:

A negative discriminant indicates that the quadratic equation has no real roots.

Thus the graph does not touch or intersect the x- axis

The only graph that does not touch or intersect the x- axis is the fourth one

5 0
2 years ago
Read 2 more answers
Find the area of the circle whose equation is x2+y2=6x-8y​
Semenov [28]

Answer:

Given that the equation of a circle is :

\green{ \boxed{\boxed{\begin{array}{cc}  {x}^{2}  +  {y}^{2}  = 6x - 8y \\  =  >  {x}^{2}  +  {y}^{2}   - 6x + 8y = 0 \\  =  >  {x}^{2}  +  {y}^{2}  + 2 \times ( - 3) \times x + 2 \times 4 \times y = 0 \\  \\  \sf \: standard \: equation \: o f \: circle \: is :  \\   {x}^{2}  +  {x}^{2}  + 2gx + 2fy + c = 0 \\  \\  \sf \: by \: comparing \\  \\ g =  - 3 \\ f = 4 \\ c = 0 \\  \\  \sf \: radius \:  \: r =  \sqrt{ {g}^{2}  +  {f}^{2} - c }  \\  =  \sqrt{ {( - 3)}^{2} +  {4}^{2} - 0  }  \\  =  \sqrt{9 + 16}  \\   = \sqrt{25}  \\  = 5 \: unit \\  \\  \bf \: area \:  = \pi {r}^{2}  \\  = \pi \times  {5}^{2}  \\  =\pink{ 25\pi \:  { unit }^{2} }\end{array}}}}

6 0
3 years ago
Solve the given inequality and graph the solution on a number line.
raketka [301]

Answer:

sorry agnor me

Step-by-step explanation:

plz egnore my ideodik nis

4 0
3 years ago
Read 2 more answers
Which value of x satisfies the equation sin40=cosx
svp [43]

Answer:

Try to use your calculator and just substitute values

Step-by-step explanation:

6 0
3 years ago
HELP ASAP!!!!!!!!!
masha68 [24]

Answer:

Step-by-step explanation:

23550=15000(1+.0475t)

t=12

6 0
2 years ago
Other questions:
  • I dont get this, can anyone help?
    8·1 answer
  • Y=2x+10 find y if x = -2
    5·2 answers
  • Could anyone help me with this? I will mark you as brainliest!
    13·2 answers
  • 6xy in simplest form
    14·1 answer
  • Can anyone help me in these questions
    14·1 answer
  • In order for Josh to graph the solution to the inequality 4x - 2y > 6, which of the following steps does he need to use? Sele
    10·2 answers
  • Help One question PLEASE
    14·1 answer
  • The map shows locations of a new town. Circle the correct ordered pair for each location.
    8·1 answer
  • PLEASE HELP HELP ASAP ASAP PLEASE HELP
    5·1 answer
  • ASAP I NEED HELP AGAIN NO IDEA WHAT IM DOING HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!