The denominator of a fraction is 8 more than its numerator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2. Find the fraction

pleases help as soon as possible..thank you so much

Answer:

The fraction is 13/21.

Step-by-step explanation:

The denominator of a fraction is 8 more than its numerator.

Let x be the numerator: x

So the denominator is: x + 8

[tex]\frac{x}{x + 8}[/tex]

If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.

It will become:

[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]

[tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex]

Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.

It will become:

2x - 2 = x + 11

Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.

2x - x = 11 + 2

x = 13

So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])

Put the value of x in it.

[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]

[tex]\frac{12}{24} = \frac{1}{2}[/tex]

12/24 is equivalent to 1/2 so that is correct.

Now, to find the main fraction. Go back to the original equation which is;

([tex]\frac{x}{x + 8}[/tex])

Put the value of x.

[tex]\frac{13}{8 + 13}[/tex]

= 13/21

Not a verified expert but I put much effort to answer your question. Hope it helps:)

Can someone help me out with this please​

Calibri

11 -

BI USA

f* Average Annual Weather Statistics

B

с

Average Annual Weather Statistics

D

E

F

G

H

J

K

L

M

N

1

2

3

Atlanta

1050

Average

1616.833333

4

5

89

Boston Dallas Orlando Phoenix SanteFe Total

20 430 91 1110 7000

69 96 82 86 70

44 37 62 59 43

42.53 21.32 47.7 7.3 14

41

6

0

0 32

Altitude

High Temp

Low Temp

Rain (in.)

Snow (in.)

6

7

33.5

50.19

0

8

9

10

11

12

13

14

15

16

17

Alt. Diff. ->

Atlanta & Dallas

Alt. Diff. Answer Here ->

18

19

20

21

Find the sum of the first 15 terms of the AP:11,5,-1,-7
​

Which expression has a value equal to 28 divided by 4
There are 4 options.
7x4
4x28
28/4
4/28

I am exhausted could someone pls help me 3(-2+-8+9)divided by 4

Last year the French club raised $300 at their fall fundraiser. This year they raised $450. What is the percent increase in the amount raised?

(IN YOUR OWN WORD'S)

12x-15 distributive property

HELP ASAP!!!!!!!!! IM SO PUZZLED

PLS SOMEONE HELP PLSSS

round up 28.046 to the nearest hundredth​

Is that the correct answer for it please help me. I want to past my ecam

A 2-lb block of cheese us cut into 8 pieces of equal mass. What is the mass of each piece? (In oz)

A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane parallel to the base.The original cone had a height of 12 in. and a volume of 810 in3. What is the volume of the tip that was sliced off?
A)30 in3B)60 in3C)90 in3EliminateD)180 in3

HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!!

4(2-3x)=-2x-27
help plz

The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?.

Medicine is used by the body at a rate of 10% per hour.
Is this situation discrete or continuous?

A. discrete
B. continuous

Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Escribe un sistema de ecuaciones que permita calcular cuántos vehículos de cada tipo traslada el camión. Usa a para representar la cantidad de autos y c para representar la cantidad de camionetas que traslada el camión.

Find the value of x in the equation below. 5.4=2x

There are 150 fish in total. The ratio of goldfish to betta fish is 2:3. How many goldfish are there?

(Please help me I’m nearly crying cause I can’t answer this question. )

None sense >report
I. Study the situation below:
Jose wanted to construct a rectangular garden such that its perimeter is 28mn and
its length is 6 times its width.
What are the linear equations that represents the given situation?
II. Answer the following questions:
1. How do you describe a system of linear equations in two variables?
2.
Give at least two examples of systems of linear equations in two variables.
3.
How is the system of linear equations in two variables used in solving in real
life problems and in making decisio?

What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line 2 - y = 7?

please help me in questions 16 and 17 only and i’ll mark you as brainliest i promise

Which of the ordered pairs is a solution to the system of inequalities?

y ≥ 3

y > x

(-3, 2)
(2, 3)
(-4, 3)
(0, 0)

4. Answer a through c

Which rate describes a unit rate of 6:1? A.) 12 tires for 3 cars B.) 30 miles for 5 hours C.) $35 for 5 set of markers D.) 45 miles in 9 hours​

During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trial and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trial?

Andrew earns $15.75 per hour at his job. If he worked 42 hours last week, how much did he earn?

help me please thanks

Please help. Will give brainliest.