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
miss Akunina [59]
3 years ago
14

The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli

fied result is 1718
17


18


. Find the original fraction. (Do NOT simplify.)
Mathematics
1 answer:
ira [324]3 years ago
4 0

Answer:

\dfrac{40}{42}

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

\dfrac{x}{x+2}

If both numerator and denominator are decreased by six, the fraction becomes:

\dfrac{x-6}{x+2-6}

The simplified result is \dfrac{17}{18}

Therefore:

\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40

Substituting x=40 into the initial fraction

\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}

Therefore, the original fraction is \dfrac{40}{42}

You might be interested in
***Please Help As Soon As Possible***
Nastasia [14]
Hey, ok so 1) is A  
2) is C
3) is B
4) is B
5) is A
6) is C
7) is B
8) is B
9) is A
10) is C
How i go this is you just take each number and plug it in like 10 all you had to do was take one of the numbers in the answers and put it in as m like this 426/3=142 and see if that works. I would use a calculator <span />
5 0
3 years ago
Hurrrryyyyy i will mark brianlist
damaskus [11]

Answer:

f

Step-by-step explanation:

6 0
3 years ago
Determine which of the four levels of measurement is most appropriate<br> students grades
Advocard [28]

Answer:

Ordinal

Step-by-step explanation:

Trust me

4 0
3 years ago
Read 2 more answers
A sport's ball has a diameter of 29 cm. Find the volume of the ball.
sleet_krkn [62]

4064.8 pi or 12763.6

3 0
3 years ago
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 79 minutes
bagirrra123 [75]

Answer: a) 0.0088

b) 0.2997

c)  5

Step-by-step explanation:

Given : Mean : \mu = 79 minutes

Standard deviation : \sigma = 8 minutes

The formula for z-score :

z=\dfrac{x-\mu}{\sigma}

a) For x = 60 minutes

z=\dfrac{60-79}{8}=-2.375

The p-value =P(z\leq-2.375)=0.0087745\approx0.0088

b) For x = 75 minutes

z=\dfrac{75-79}{8}=-0.5

The p-value =P(60

=P(-0.5)-P(-2.375)=0.3085-0.0088=0.2997

c) For x = 90 minutes

z=\dfrac{90-79}{8}=1.375

The p-value =P(z>1.375)=1-P(z

=1-0.9154342=0.0845658

If the number of students in the class = 60 .

Then , the number of students will be unable to complete the exam in the allotted time =0.0845658\times60=5.073948\approx5

7 0
3 years ago
Other questions:
  • Explain how finding sound Cantoni is similar to finding 7×2000 Perry then find each product.
    13·1 answer
  • Variability ia a measure of?​
    6·1 answer
  • Determining Exponential Growth and Decay in Exercise, use the given information to write an exponential equation for y. Does the
    8·1 answer
  • How do you divide 8 by 10
    8·2 answers
  • In geometry, how do defined terms and undefined terms relate to each other?
    8·1 answer
  • P = A + B + C Find P if A = 23 B = 17 C = 29 P=​
    9·2 answers
  • Jaxon is creating a mosaic design on a rectangular
    8·2 answers
  • At a dinner, the meal cost $32 and a sales tax of $1.87 was added to the bill. How much would the sales tax be on a $64 meal?
    13·1 answer
  • A container in the shape of a pyramid has a rectangular base with dimensions of 5 inches by 15 inches. The height of the rectang
    11·2 answers
  • Select the correct answer from each drop-down menu. Javier purchased a digital camera for $384. The value of the camera deprecia
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!