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
yanalaym [24]
3 years ago
5

The numerator of a fraction that is written in simplest form is 4 less than the denominator. If you multiply the numerator by 2

and increase the denominator by 14, the new fraction is less than the original fraction by 1/3 of it.
Mathematics
2 answers:
PIT_PIT [208]3 years ago
8 0

9514 1404 393

Answer:

  3/7

Step-by-step explanation:

Let n represent the numerator of the original fraction. Then its denominator is n+4. The new fraction is ...

  \dfrac{2n}{(n+4)+14}=(1-\dfrac{1}{3})\cdot\dfrac{n}{n+4}\\\\\dfrac{2n}{n+18}=\dfrac{2n}{3(n+4)}\\\\n+18=3n+12\\\\6=2n\\\\n=3

So, the original fraction is ...

  3/7

Molodets [167]3 years ago
8 0

Answer:

3/7 is the answer

Step-by-step explanation:

Rsm?

You might be interested in
Solve this system of linear equations. Separate
zepelin [54]

Answer:

Step-by-step explanation:

-9x + y = 16

12x + y = -5

12x + y = -5

9x - y   = -16

21x = -21

x = -1

9 + y = 16

y = 7

(-1,7)

5 0
3 years ago
I need help, do I have these pink dots in the right place?
irakobra [83]

Answer:

no, you actually don't.

Step-by-step explanation:

remember: x is how many to the left, and y is how many to the top.

reposition the dots and I will see if it is right the 2nd time.

hope this helped!

6 0
3 years ago
Read 2 more answers
Graph each circle given below right the center and the radius of each circle
Paraphin [41]

Answer:

Center: (-1,8)

Radius: 1

The graph is attached.

Step-by-step explanation:

The equation of the circle has the form:

(x -h)^{2}+(y-k)^{2}=r^{2}

Where (h,k) is the  point of the center of the circle and r is the radius of the circle.

The equation given in the problem is

(x +1)^{2}+(y-8)^{2}=1

 Therefore:

h=-1

k=8

 Then, the center is (-1,8) and radius is 1.

You can graph the circle with its center at the (-1,8) and a radius of 1 as you can see in the figure attached.

4 0
3 years ago
Read 2 more answers
If f(x) = 2x²+1 and g(x) =x²-7find (f-g)(x)
Karolina [17]
(2x^2-x^2)= x^2
(1+7) = 8

X^2 + 8
7 0
3 years ago
Each letter of the word "supercalifragilisticexpialidocious" is placed into a bag and drawn at 3 times, replacing the letter aft
Makovka662 [10]

Answer:

P(X ≥ 1) = 0.50

Step-by-step explanation:

Given that:

The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.

Then; the probability of success = 7/34 = 0.20588

Using Binomial distribution to determine the probability; we have:

P(X = x)  = ^nC_x  \ \beta^x   \  (1 - \beta)^{n-x}

where;

x = 0,1,2,...n    and    0  <  β   <   1

and x represents the  number of successes.

However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:

P(X ≥ 1) = 1 - P(X< 1)

P(X ≥ 1) = 1 - P(X =0)

P(X \ge 1) =  1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg]

P(X \ge 1) =  1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg]

P(X ≥ 1) = 1 - 0.50

P(X ≥ 1) = 0.50

4 0
3 years ago
Other questions:
  • What is the value of the algebraic expression if x= 1/2 , y = -1, and z = 2? 6x(y2z) A. -12 B. -6 C. 1 D. 6
    13·1 answer
  • When points a and b(-3,4) are graphed in the standard (×,y)coordinate plane the mid point about will be (1,2) what will be coord
    13·1 answer
  • Which equation represents a proportional relationship that has a constant of proportionality equal to StartFraction 4 over 5 End
    10·2 answers
  • What fraction is equal to 5/8
    7·2 answers
  • Divide the product of 5 and 8 by 6​
    11·2 answers
  • ASAP Can someone plz help me
    12·2 answers
  • What is the percent of the original price
    10·1 answer
  • amy earns $15 per week for doing chores around the house. write and solve an equation that determines how many weeks she needs t
    13·2 answers
  • Evaluate the expression 4x^2 + 3y for x = 5 and = 6.
    11·1 answer
  • Two rectangular prisms have a combined volume of 135m^3. Prism A has double volume of Prism B. What is the volume of each prism?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!