The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equivalent to 5/7 . What is the original fraction?

Answers

Answer 1

Answer:

5/9

Step-by-step explanation:

Let the denominator be x and numerator be y.

Given, numerator is 4 less than denominator

=> y = x - 4 ...(1)

When 5 is added to both:

Numerator = y + 5 , and, denominator = x + 5

Now their ratio is 5/7.

=> (y + 5)/(x + 5) = 5/7

=> 7(y + 5) = 5(x + 5)

=> 7y + 35 = 5x + 25

=> 7y - 5x = 25 - 35

=> 7(x - 4) - 5x = -10 {y=x-4}

=> 7x - 28 - 5x = -10

=> 2x = 18

=> x = 9

Thus,

Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9


Related Questions

Find x. Round your answer to the nearest tenth of a degree and show work.

Answers

Answer:

35.0

Step-by-step explanation:

14+21 equals 35 and then round to the nearest tenth of a degree and came up with 35.0.

please explain how to do this

Answers

When it says standard form they mean from biggest to smallest.

NEED ANSWER ASAP GIVING LOTS OF BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1. X2 +3x+5

2. 5x-1+

3. x2+ 3x-5

Answer:

this is your answer of first one..

A cylinder has a Height 50 and a diameter 25 what is it’s volume?

Answers

Answer:

Step-by-step explanation:

V≈24543.69

Answer:

1250

Step-by-step explanation:

50×25=1250 hope it helps

4. Vince is buying apples for his horse. Which of these options has the
lowest unit cost?
A. 5 apples for $2.50
c. 12 apples for $7.20
B. 8 apples for $4.40
D. 1 apple for $0.52
(Z.RP.A.1
usina
Alions of as How

Answers

Answer:

option A. 5 apples for $2.50

Step-by-step explanation:

You must find the price per apple for each option by dividing the cost in cents by the number of apples. 250 cents divided by 5 apples gives you 50 cents per apple, while option c is 55 cents per apple, option b is 60 cents per apple, and option d is 52 cents per apple.


Help me pleasseee!!!

Answers

Answer:

Using x=5, then x exponent 2 = 5 exponent2 =5 x5 = 25 1 exponent5=1x1x1x1x1=1 5 exponent 1 = 5 my sister said the answer is 162 you could try that

Answer: 25, 1, 5

Explanation: you change all the x's to 5
*for x^2 you get 5^2 which is just 5x5 so it's 25.
*for 1^x you get 1^5 which is just 1x1x1x1x1 so it's 1
*for x^1 you get 5^1 which is just 5

Hope this helped!

Can someone please answer quick. I only have two minutes to answer the question.

Answers

it’s -4. because it passes through the vertex. it’s x=-4

Would someone be able to answer this before 3 PM central?

Answers

Answer:

yes

Step-by-step explanation:

help me plz !!!
what´s 6×6×6×6=

Answers

Answer:

hey child !! you should practice some maths okay.

6 × 6 × 6 × 6 = 1296

24

6 × 6 × 6 × 6 = 24

hope it helps

What is the margin of error for a sample statistic for a population with a standard deviation of 6.75?

Answers

Answer:

Step-by-Margin of Error  = 1.96 x  7.75 = 15.19

step explanation:

i) Margin of Error of a population with a standard deviation of 7.75?

ii) Let us assume a two tailed test with a 95% confidence interval

iii)  

iv) therefore Margin of Error  = 1.96  7.75 = 15.19

Answer: 13.5

Step-by-step explanation:

15% of a number is 30. What is the number?
A)4.5
B)20
C)45
D)200​

Answers

15% of 200 is 30

so the answer would be D
The answer is D, 200.

Since the total percentage is 100, you would divide that by 15.

100/15=6.666...7

Then, you would multiply that by 30

6.6666...7*30=200

Lines with the same slope are

Answers

Answer:

Parallel if they have the DIFFERENT y-intercept

If they don’t have the different y-intercpet, its just coincide

i need help, i don’t understand

Answers

Answer:

a = 14

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, sum to 180°

a² - 10a + 7a + 26 = 180

a² - 3a + 26 = 180 ( subtract 180 from both sides )

a² - 3a - 154 = 0 ← in standard form

(a - 14)(a + 11) = 0 ← in factored form

Equate each factor to zero and solve for a

a - 14 = 0 ⇒ a = 14

a + 11 = 0 ⇒ a = - 11

Since a > 0 , then a = 14

Equation practice with vertical angles solve for x

Answers

Answer:

x = -11

Step-by-step explanation:

6x+185 = 8x+207

substract 8 from both side and you will get

-2x = 22

and then divide by -2 and x will be equal to

x = -11

yuurrrr i need help yo plz help

Answers

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Answer: CD = 90

Explanation:

4b-30=3b

b = 30

3b = CD

3(30) = 90

CD = 90

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

90

Step-by-step explanation:

it is a square and all the edges have same len;

4b-30 = 3b , b = 30

.

3b = 90

The housing sales measured in millions of dollars, M, of a rural city, can be modeled by the function M(t) = -35cos(0.524t) + 55, where t represents the number of years since 2020. What characteristics of M(t) are true?
I. The first time the housing sales will reach their maximum will be in 2030.
II. Housing sales are expected to increase from 2020 to 2021.
III. The range is (20,90).

Answers

Answer:

It is going to be the first one.

Step-by-step explanation:

The first time the housing sales will reach their maximum will be in 2030.

Hope it helps! :)

Hope you also have a great rest of your day!

Find A, B and ? Please show steps as well

Answers

35+55+a=180
90+x=180
-90. -90
A= 90

Please help I am struggling so bad

Answers

9514 1404 393

Answer:

  3.14 units

Step-by-step explanation:

The formula for the length of an arc is ...

  s = rθ

where r is the radius of the circle, and θ is the central angle in radians.

__

The relationship between degrees and radians is ...

  180° = π radians

If we divide this equation by 3, we see ...

  60° = π/3 radians

__

The radius is given as 3 units, so the arc length is ...

  s = (3 units)(π/3) = π units

The arc length is 3.14 units.

7. Alex has 4 red marbles 3 blue marbles, 2 yellow marbles, 6 purple marbles, and one white marble. Alex picked a marble out of the bag, recorded the color in the chart (to the right), then replaced the marble. He repeated this experiment fifteen times. COLORS FREQUENCY
What is Alex's experimental probability of Red getting a blue?

b. What is Alex's theoretical probability of getting a blue?​

Answers

Answer:

B

Step-by-step explanation:

Plz help with this problem

Answers

Answer:

33 % is the answer.

Step-by-step explanation:

The value provided is 10 and possible out comes of getting a result is 3 as there are 3 grades namely (A,B and C) are mentioned. When converted to 100s, 100/33 gives 33.33% as the answer, when rounding off gives 33.

GIVING BRAINLIEST!!!

Answers

Answer:

The second option: 1/4 x (26 - 10) x 3

Step-by-step explanation:

"The difference of 26 and 10" indicates that those two numbers are going to be subtracted, which is why you get (26 - 10).

The "of" in "1/4 of" means that the value after the "of" is getting multiplied by the 1/4: 1/4 x (26 - 10)

The "3 times" means that the 3 is getting multiplied by whatever comes after it, which is why the answer is the second option: 1/4 x (26 - 10) x 3

The answer is 1/4 x ( 26- 10) x3

You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).
If you randomly pick the plant and the pot, what is the probability that you won't get a clay pot or a cactus?

Answers

Answer:

there is a 1/4 chance you will not get a clay pot and a 1/4 chance you will not get a cactus

Step-by-step explanation:

Answer:

9/16 from khan academy

Step-by-step explanation:

Which point of concurrency is NOT always inside a triangle? Check all that apply. A. circumcenter B. incenter C. orthocenter D. centroid

Answers

The point of concurrency which is not always inside a triangle is circumcenter and orthocenter.

We are given that;

The four options

Now,

A point of concurrency is a single point shared by three or more lines1. In a triangle, there are four points of concurrency that are associated with different types of line segments: centroid, incenter, circumcenter and orthocenter.

The centroid is the point of concurrency of the medians of a triangle, which are the line segments that connect the midpoints of the sides to the opposite vertices. The centroid is always inside the triangle.

The incenter is the point of concurrency of the angle bisectors of the triangle, which are the line segments that divide the angles into two equal parts. The incenter is also always inside the triangle.

The circumcenter is the point of concurrency of the perpendicular bisectors of the sides of the triangle, which are the line segments that are perpendicular to the sides and pass through their midpoints.

The circumcenter can be inside or outside the triangle, depending on the type of triangle. For an acute triangle, it is inside; for a right triangle, it is at the midpoint of the hypotenuse; for an obtuse triangle, it is outside

Therefore, by triangle the answer will be circumcenter and orthocenter.

Learn more about the triangle;

https://brainly.com/question/2773823

#SPJ12

Find the area of each circle. Use 3.14 for the value of pi. Round your answer to the nearest tenth. Do NOT include units in your answer (ie. ft, in, km, etc.) (FR)

Answers

Answer:

12.6

Step-by-step explanation:

The equation for a circle's area is [tex]A=\pi r^2[/tex].

We can use this equation to end up with A=(3.14)4

And 3.14 times 4 is 12.56.

Then we have to round to the nearest tenth.

Therefore your answer is 12.6

Hope this helped! :)

Geoffrey's babysitter stayed from 5:15 P.M. until 11:35 P.M. For how much time
does the babysitter need to be paid?
hours and
minutes

Answers

Answer:

6 Hours and 20 minutes

Step-by-step explanation:

Answer:

6hrs and 20 mins

Step-by-step explanation:

HOW DO YOU CONVERT SURFACE AREA TO VOLUME!
HELP!!!!
WILL MARK BRAINLIST!!

Answers

Answer:

Formulas for a rectangular prism:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

Step-by-step explanation:

Hope it helps :))))

URGENT
Which of the following statements is true? Select all that apply.

Answers

Answer:

C is true also

Step-by-step explanation:

If Birr 2400 is invested at 6 simple interest per annum, then what is the amount after 4 years?

Answers

Answer:

R2976

Step-by-step explanation:

2400(1+0.06×4)

=R2976

Find the distance between (-1,-2) and (8,9)

Answers

Answer:

[tex]\sqrt{202}[/tex] units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula  [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

[tex]d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}[/tex]  

So, as an exact answer, the distance is [tex]\sqrt{202}[/tex] units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)  

Answer:

14.2

Step-by-step explanation:

All you need to do is plug the coordinates into the distance formula.

√(x2 - x1)² + (y2 - y1)²

√[8 - (-1)]² + [9 - (-2)]²

√(9)² + (11)²

√81 + 121

√202

= 14.2

i’ll give brainliest

Answers

Answer:

-4/5y - 4/5x

Step-by-step explanation:

The fraction ( -4/5 ) will multiply each component in the bracket. That is the (y) and the (x)

So -4/5 × y gives you -4/5y

and -4/5 × x gives you -4/5x

Therefore you have -4/5y - 4/5x

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