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
Helga [31]
3 years ago
6

The numerator of a fraction (which is in its simplest form) is 5 less than the denominator. If the numerator is multiplied by 2,

and the denominator is increased by 16, then the fraction becomes smaller by 1/3 of it. Find the original fraction.
Mathematics
1 answer:
timama [110]3 years ago
3 0
N = d - 5

2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3

Let's see if it checks out.
n = 3
d = 8

2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.


You might be interested in
If the area of the triangle (the shaded portion below) within the pentadecagon is 10 units, what is the area
GaryK [48]

Answer:

150

Step-by-step explanation:

8 0
3 years ago
Karl opens a savings account with $2500. He deposits $1500 every year into the account that has a 0.75% interest rate, compounde
tester [92]
$1500 divided by 12 months = $125 per month. 0.75% x 120 (10 years x 12 months in each) = 90%. $125 x 120 = $15,000 + ($125 x 90%= $11,250) = $26,250. $26,250 + $2500 = $28,750 overall in the account after 10 years
3 0
3 years ago
a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
il63 [147K]
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
6 0
3 years ago
Calculate 36%of $4500
Aleksandr [31]

Answer:

1620

Step-by-step explanation:

0.36*4500=1620

7 0
3 years ago
Read 2 more answers
Coulter Supply has a total debt ratio of .46. What is the equity multiplier? Select one: a. .89 b. 1.17 c. 1.47 d. 1.85 e. 2.17
Archy [21]

Answer:

Option D.

Step-by-step explanation:

The formula for total debt ratio is

\text{Total debt ratio}=\dfrac{\text{Total assets - Total Equity}}{\text{Total assets}}

It can be rewritten as

\text{Total debt ratio}=1-\dfrac{\text{Total Equity}}{\text{Total assets}}     .... (1)

We know that,

\text{ Equity multiplier}=\dfrac{\text{Total Equity}}{\text{Total assets}}          ... (2)

Using (1) and (2) we get

\text{Total debt ratio}=1-\dfrac{1}{\text{Equity multiplier}}

Substitute total debt ratio=0.46 in the above equation.

0.46=1-\dfrac{1}{\text{Equity multiplier}}

0.46-1=-\dfrac{1}{\text{Equity multiplier}}

-0.54=-\dfrac{1}{\text{Equity multiplier}}

\text{Equity multiplier}=-\dfrac{1}{-0.54}

\text{Equity multiplier}=1.85185185

\text{Equity multiplier}\approx 1.85

Therefore, the correct option is D.

7 0
3 years ago
Other questions:
  • Got 1+7 Do this problem to find out.
    11·1 answer
  • 2x+2/y=4w+2 solve for x
    15·1 answer
  • I need him with this
    11·1 answer
  • Distribute a negative -7.1h-(-2k-1)
    9·1 answer
  • Ms lemus buys 7 boxes of snacks .each box has 12 packets of fruit snacks and 18 packets of cashews.tape diagram and multiplicati
    9·1 answer
  • Courtney got 64 out of 75 correct on a test. What is the best estimate of the percent Courtney got correct?
    14·1 answer
  • The longest side of a triangle is 80cm more than the second and 130cm more than the shortest side and its perimeter is 540cm. fi
    13·1 answer
  • Pls help this is a test <br><br> Find the difference
    6·2 answers
  • What is the circumference of a circle with a diameter of 5 feet use 3.14 for pi
    15·1 answer
  • 40 POINTS! Thank you so much if you answer!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!