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

Answers

Answer 1

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:)


Related Questions

Please Help Im Doing A Test And Really Need The Answer!

Please no fake answer for points

Answers

Answer:

The last one (16+20+3+8)

Step-by-step explanation:

add up all the sides not including the 3 inside

Answer:

(16+20+3+8)

Step-by-step explanation:

The perimeter is the measurement on the outside of the shape.

so (3+16+20+8) = 47

‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

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THERE IS NO QUESTION

Step-by-step explanation:

There’s no question… thx for the points tho!! Pls mark me brainliest lol

please help I’ve been stuck on this for an hour

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Answer:

-3/5

Step-by-step explanation:

Does this table represent a function or not? Why or why not?

Answers

Answer:

No

Step-by-step explanation:

For something to be a function, there must be no duplicate x values, or if there is they must represent the same y. The table has a duplicate value of 2 so it is not a function.

I hope this helps!

Le regioni italiane bagnate dal mare sono un insieme?

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non so cosa intendi per intero

Step-by-step explanation:

Può essere più preciso?

A scale drawing of triangle ABC has side lengths of 2 centimeters (cm), 4.8 cm, and 5.2 cm. The scale drawing was drawn using the scale of 1 cm=4 inches.
Raquel creates a different scale drawing of the original triangle ABC with the scale factor 116.
What are the side lengths in Raquel's scale drawing?
-1 in., 2.4 in., and 2.6 in.
-0.5 in., 1.2 in., and 1.3 in.
-8 in., 19.2 in., and 20.8 in.
-128 in., 307.2 in., and 332.8 in.

Answers

Step-by-step explanation:

I am not sure this is typed all correctly.

what I understand here :

there is an original triangle ABC in inches.

then, using the scale 1 cm = 4 inches a smaller triangle A'B'C' was created.

the side lengths of A'B'C' are 2cm, 4.8cm, 5.2cm.

due to the scale of 1 cm = 4 inches that means ABC has the side lengths 8 inches, 19.2 inches, 20.8 inches.

and now, another scaled triangle A"B"C" is drawn in inches based on ABC with a scan factor of 1/16 (is that correct ?).

that means that all side lengths are divided by 16 for the resulting triangle.

8 inches /16 = 0.5 inches

19.2 inches / 16 = 1.2 inches

20.8 inches / 16 = 1.3 inches

so, the second answer option is correct.

a family of four goes to a movie theatre and spends $26.50. they buy 2 tickets for adults, and 3 boxes of popcorn at $2.50 per box. what is the cost of one adult ticket

Answers

Answer:

$9.5

Step-by-step explanation:

3x2.50= 7.50

26.50-7.5 =19

19/2 = 9.5

9.5 for one adult ticket

Hi!

First, let's add (or multiply) the boxes of popcorn.

2.50 + 2.50 + 2.50 (or 2.50 x 3) is 7.50. so the popcorn all together is $7.50.

Next, we subtract the popcorn cost from the cost altogether.

26.50 - 7.50 = $19

Next, we divide the $19 by two.

19 ÷ 2 = 9.50

To make sure this is true, what we do is multiply 2 x 9.50.

2 x 9.50 = 19.

So 9.50 is your answer.

(NOTICE: your problem says a family of 4. you didn't give me the total for the other 2 people who were going to the movie, so this is just my estimate for just those 2 adults. If it's not correct, that is the reason why, otherwise, it is the answer.)

Hope this helps!

~~~PicklePoppers~~~

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Answers

[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]

[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]

[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]

[tex]\sf \longmapsto \: 31\%[/tex]

I don’t know what to call it but I need help

Answers

Answer: this is a math test, i presume

on schoology

it’s the third option 63 over 3/8

Carlos spent 1 1/4 hours doing his math homework. He spent 1/4 of this time practicing his multiplication facts.

How many hours did Carlos spend practicing his multiplication facts?

____ of an hour

A: 1/4 of an hour
B: 3/8 of an hour
C: 1/16 of an hour
D: 5/16 of an hour

Answers

A:1/4 of a hour, it says he spent 1/4 of his time practicing his multiplication facts

please tell me what is the answer and how is it done
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Answers

Hey there!

I got 900 as the answer.

I hope this helped.

Hope that picture of my work helps!

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Answer: chrome

Step-by-step explanation:

new tab then search it up

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Answers

Answer:

A=7c/5 + 8d/5

Step-by-step explanation:

Answer:

A = [tex]\frac{7c+8d}{5}[/tex]

Step-by-step explanation:

7c + 8d = 5A ( isolate A by dividing both sides by 5 )

[tex]\frac{7c+8d}{5}[/tex] = A

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Answers

The answer is 16
Dhdhdhdvdudhdvdbd

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500
5
5,000
50
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Answers

Answer:

500

Step-by-step explanation:

Umm I dont know how to explain but im 100% sure

I got it right on my quiz so...

Answer: 500

Step-by-step explanation:

the first one

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{2x - 7y = 4
{x - 3y = 3​

Answers

x1=2x2=1y1=-7y2=-3c1=4c2=3

Matrix:-

[tex]\\ \sf\longmapsto \left[\begin{array}{ccc}\sf 2 &\sf -7 &\sf 4\\ \sf 1&\sf -3 &\sf 3\end{array}\right][/tex]

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Answers

9514 1404 393

Answer:

7x +40x = 204x +30 = 110°3x +10 = 70°

Step-by-step explanation:

The marked angles are supplementary, so you have ...

  (4x +30) +(3x +10) = 180

  7x +40 = 180

__

Subtracting 40 gives ...

  7x = 140

  x = 140/7 . . . . . divide by the coefficient of x

  x = 20

__

Then the angle measures are ...

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  3x +10 = 3·20 +10 = 70°

Sandra and Peter together weigh 275 pounds. Sandra and
Martin together weigh 245 pounds. All three together
weigh 410 pounds. What is Sandra's weight alone?

Answers

Answer:

110 pounds

Step-by-step explanation:

Let the weight of Sandra, Peter and Martin be S, P and M pounds respectively.

S +P= 275 -----(1)

S +M= 245 -----(2)

S +P +M= 410 -----(3)

(3) -(1):

S +P +M -(S +P)= 410 -275

S +P +M -S -P= 135

M= 135

Substitute M= 135 into (2):

S +135= 245

S= 245 -135

S= 110

Thus, Sarah weighs 110 pounds.

A media organization is interested in reporting election results in a congressional election prior to the final tally of votes which will not occur until later in the evening. The organization randomly selects several polling places across the district asking voters whom they voted for. The type of poll being used in this scenario is known as an exit poll Answer A: an exit poll A a benchmark poll Answer B: a benchmark poll B an opinion poll Answer C: an opinion poll C a tracking poll

Answers

The name which is given to this type of poll which is being described in this scenario is known as:

A. An exit poll

According to the given question, we are asked to state the name which is given to this type of poll which is being described in this scenario where a media organisation asks people who they voted for.

As a result of this, we can see that the type of poll which was used in this described scenario above is known as an exit poll because it is used to get the poll of the voters just after they have left the polling stations.

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Read more here:

https://brainly.com/question/22435957

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Answers

Answer:-108

Step-by-step explanation:

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4

Answers

Answer:

a

Step-by-step explanation:

Find (fog)(x) (gof)(x), if f(x) = 1 - 5x; g (x) = |2x + 3| x​

Answers

Step-by-step explanation:

f (x) = 1 - 5x

g (x) = 2x + 3

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so doing that we'll get

1 - 5(2x + 3)

next expand your brackets

1 - 10x + 15

equate to 0 to make things easier

1 - 10x + 15 = 0

make x the subject

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fog(x) = 16/10

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we'll do the same thing again

2(1-5x) + 3

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Answers

Answer:

The answer is 6:20, 12:40 and 18:60

Answer

15:50

Step-by-step explanation:

3 x 5 = 3 :

10 x 5       10

i hoped this helped lol

The Happy Paws pet store holds obedience classes for newly adopted puppies. On the first
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Answers

Answer:

33 is the correcr answeerrr

Step-by-step explanation:

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Answers

Answer: 5 1/15 feet

Step-by-step explanation:

For this you have to add fractions.

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The fraction is now: 1 10/15 + 3 6/15

Now that the denominator is the same add the fractions.

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Answers

She can buy 46 boxes

Answer:

46 boxes of nails

Step-by-step explanation:

She has $187 to spend, the maximum.

187/4 = 46.75

Since she cannot buy 0.75 of a box of nails, she can only buy 46. So she is left with an extra $3 and buys 46 boxes of nails.

Hope this helps, and please mark me the brainliest! :D

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Answers

Answer:

y=-5+15.5

Step-by-step explanation:

y = 5+15 -5
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Draw a square and its diagonals. Guess the measures of these angles.

Answers

Answer:

90 degrees on each angle.

Step-by-step explanation:

A square is symmetrical on all sides, so each side has to be a right angle. Each right angle adds up to 360 degrees, the total degrees of a quadrilateral.

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Answers

Answer:

see explanation

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , then

A (- 5, - 8 ) → A' (5, 8 )

B (2, - 3 ) → B' (- 2, 3 )

C (- 2, 9 ) → C' (2, - 9 )

LOL ITS ME AGAIN STOP SCROLLING N HELP MEEE PLS. ALSO DONT MIND DIRTY SCREEN

Answers

Answer:

12/16 9/12

3/4

Step-by-step explanation:

12/16 = 15/20 = 9/12

scale factor = 3/4

Answer:

The other fractions are [tex]\frac{9}{12}[/tex] and [tex]\frac{15}{20}[/tex].

the scale factor is [tex]\frac{3}{4}[/tex].

Each of the sides on XYZ are 3/4 of the corresponding sides on ABC.

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