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
Aneli [31]
3 years ago
9

the numerator of a fraction is 2 less than its denominator. when both numerator and denominator are increased by 3, the fraction

is increased by 3/20. find the original fraction
Mathematics
2 answers:
Dmitriy789 [7]3 years ago
7 0
First denominator -- x 
<span>first numerator ---- x-2 </span>

<span>new denominator -- x+3 </span>
<span>new numerator ---- x+1 </span>

<span>(x-2)/x + 3/20 = (x+1)/(x+3) </span>
<span>times 20x(x+3) , the LCD </span>
<span>20(x+3)(x+1) + 3x(x+3) = 20x(x+1) </span>
<span>expanding and simplifying gave me </span>
<span>x^2 + 3x - 40 = 0 </span>
<span>(x-5)(x+8) = 0 </span>
<span>x = 5 or x=-8 </span>

<span>if x=5, the original fraction was 3/5 </span>
<span>if x=-8 the original fraction was -10/-8 or 5/4 </span>

<span>check for 3/5 , new fraction would be 6/8 or 3/4 </span>
<span>3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4 </span>

<span>but for 5/4, new fraction would be 8/7 </span>
<span>5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7 </span>
<span>BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5 </span>

<span>So the original fraction would be 3/5 for sure, but </span>
<span>also the unsimplified fraction -10/-8</span>
creativ13 [48]3 years ago
4 0
The original fraction will be 3/5 and I am positive. :D
You might be interested in
Divide the number by 3 and adds 2
anzhelika [568]

aiejrhejekwhvqiekwnww

8 0
3 years ago
Pascal sells fruit from a fruit stand. He starts the day with 80 pounds of fruit. In the morning, 5 customers each buy w pounds
kifflom [539]

An algebraic expression that represents the weight of the fruit that Pascal still has after feeding the birds is 26.7 - 1.7w.

The total pounds of fruit that Pascal has after feeding the birds can be determined by subtracting the sum of the pounds of fruits he sold and the pounds of fruits he uses to feed the birds from the total pounds of fruit he had at the beginning of the day.

Pounds of fruit left = pounds of fruit he had at the beginning of the day - (pounds of fruit he sold + pounds of fruits he used to feed the birds)

Pounds of fruit he sold = 5 x w = 5w pounds

Pounds of fruits he used to feed the birds = \frac{2}{3} ×(80 - 5w) = 53.3 - 3.3w

Pounds of fruit left = 80 - (5w + 53.3 - 3.3w)

After combining similar terms, the expression is:

26.7 - 1.7w

A similar question was answered here: brainly.com/question/24007639?referrer=searchResults

5 0
2 years ago
A number divided by 42 has a quotient of 28 with a remainder of 4. What is the number?
Westkost [7]

Answer:

1180

Step-by-step explanation:

(42×28)+4 =x

x= 1180

8 0
2 years ago
Which expression is 444 times as large as the expression 34 -15
Yakvenalex [24]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
a building is 2ft from a 12 ft fence that surrounds the property a worker wants to wash a window in the building 17 ft from the
NikAS [45]
Check the picture below.

so, that'd be 20.24845673131658693325, and to the nearest tenth it'd then be 20.2   

8 0
3 years ago
Other questions:
  • Compute the mean, variance, and standard deviation for the following data set. Round all answers to the nearest tenth. {85,95,90
    9·1 answer
  • Determine the domain of the function h(x)= 8x/x(x^2-81)
    11·1 answer
  • ASAP!Hey I’m confuse help!! 10 points
    7·1 answer
  • Rama has 14 4/5 pounds of birdseeds to fill bird feeders. Each feeder holds 2 7/8 pounds of birdseeds.about how many bird feeder
    7·1 answer
  • What is the sum of the first 30 terms of the sequence an=6n+5
    5·1 answer
  • Find total surface area WILL FIVE BRAINLIEST
    13·1 answer
  • Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d
    6·1 answer
  • The total cost of a $112.75 meal with a 20% tip​
    5·1 answer
  • Using the slope​ formula, find the slope of the line through the given points.
    5·1 answer
  • On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) an
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!