The numerator of a given fraction is 4 less than the denominator. if 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes 1/4, what is the given fraction?​

Answers

Answer 1

Answer:

Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.

Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .

Let the fraction be  

Since the numerator of a given fraction is 4 less than its denominator we have,

Numerator=Denominator-4

⇒ a=b-4

Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have

4(a-3)=1(b+5)

4a-12=b+5

4a-b=17

4(b-4)-b=17   ( ∵ a=b-4)

4b-16-b=17

3b=17+16

3b=33

⇒ b=11

Now put b=11 in a=b-4 we get

a=11-4

⇒  the fraction is a/b=7/11


Related Questions

If Jayna's shuffler is working properly and randomizing the playlist after each song, what is the probability of playing a slow song?

ANSWER IS 33.33%​

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Answer:

1 song is a slow song, 2 songs are not

Step-by-step explanation:

that would give you 1/3 probability = 33.3333333333333%

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Answer:

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Answer:

Step-by-step explanation:

If the circumference of the circle is 10 cm, then the diameter is 10 cm/π, or 3.18 cm. If you know the area of the circle, divide the result by π and find its square root to get the radius; then multiply by 2 to get the diameter.

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Answer:

6

Step-by-step explanation:

The verticle line in the box is the median

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Answer : 49

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Which of the following is a secant on the circle below?
V
s
R 120
120°
T
O A. SU
B. RT
C. SU
D. UT

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Answers

Answer:

A and B

Step-by-step explanation:

A secant is a line which intersects a circle at 2 points

SU and RT both intersect the circle at 2 points and are secants

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Step-by-step explanation:

ITS THE ONLY CORRECT ANSWER YALL

u don’t have to explain

Answers

Answer:

6

Step-by-step explanation:

RQ=x

x/9=4/6

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x=6

Gulliver tossed a coin 100 times and got 43 heads. What percent of the tosses where tails?

Answers

Answer:

53 %

Step-by-step explanation:

you have the percentage of 43% for heads and you subtract 43 from one hundred and you get 57%

Answer: 57%

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A camera shop purchases a camera for $56.98 and sells it for $102.56. What is the percent of markup?
180%
120%
80%
20%

Answers

Answer:

180%

Step-by-step explanation:

Set up an equation:

Variable x = percent of markup

102.56/56.98 = x/100

Cross multiply

102.56 × 100 = 56.98 × x

10,256 = 56.98x

Divide both sides by 56.98:

179.99297.... = x

Round to nearest whole number:

180 = x

Check your work:

56.98 × 180%

Convert the percentage into a decimal:

56.98 × 1.80

102.564

Round to nearest cent:

102.56

Correct!

Find an equivalent ratio in simplest terms: 22:12 22:12

Answers

Answer:

11:6

Step-by-step explanation:

hope this helps :)

Solve the system of equations.

Answers

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 3y = 5

3y = -x + 5

y = -1/3x + 5/3

-x + 6y = 4

-x + 6(-1/3x + 5/3) = 4

-x - 2x + 10 = 4

-3x = -6

x = 2

x + 3y = 5

2 + 3y = 5

3y = 3

y = 1

What is the following product of the cube root of 16 X to the seventh times the cube root of 12 X to the ninth

Answers

Answer:

7

Step-by-step explanation:

hi I don't know what to do

Find the area of the shaded sector

Answers

The best suitable option here is option D.

Answer by 11:59 today!!!

Answers

Answer:

x = 30

Step-by-step explanation:

These angles are all supplementary (they all add up to 180) so:

x + 3x + 2x = 180

6x = 180

x = 30

The transportation department predicts that about 800,000 cars will be registered in a certain state by year 2012. Their license plates are made using and two letters followed by and three digits from 0 to 9. Will there be enough possible arrangements?

Answers

Answer:

There won't be enough arrangement

Step-by-step explanation:

Given

[tex]Letters = 2[/tex]

[tex]Digits= 3[/tex]

[tex]Cars = 800000[/tex]

Required

Determine if the possible arrangement will be enough

The 2 letters can be selected from any of the 26 alphabets without restriction.

So, the selection of letters is:

[tex]Letters = 26 * 26[/tex]

The 3 digits can be selected from any of the 10 digits without restriction.

So, the selection of digits is:

[tex]Digits = 10*10*10[/tex]

The total arrangement is:

[tex]Total = Letters * Digits[/tex]

[tex]Total = 26*26*10*10*10[/tex]

[tex]Total = 676000[/tex]

By comparison:

[tex]Total < Cars[/tex]

i.e.

[tex]676000 < 800000[/tex]

Hence, the arrangement will not be enough

What is the graph of y = x2 + 6x + 13 ?
What does the graph look like

Answers

Answer:

If I entered it in correctly it would look something like this,,

2a2 + 3b2 + a2 + b2

Answers

hope this helps! …………..

Answer:

Solution given:

2a2 + 3b2 + a2 + b2

adding like terms

2a²+a²+3b²+b²

3a²+4b² is a required answer.

what is 2/3 of 1/2
WILL MARK AS BRAINLIEST​

Answers

Answer:

1/3

Step-by-step explanation:

2/3*1/2 =1/3

Write an equation of a line with the given slope and y-intercept. slope: - 13 y-intercept: –1

Answers

Answer:

y = -13x - 1

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify variables

Slope m = -13

y-intercept b = -1

Step 2: Find Equation

Substitute in variables [Slope-Intercept Form]:                                                  y = -13x + -1Simplify:                                                                                                             y = -13x - 1

Marcia drew a quadrilateral with two pairs of parallel sides, four congruent
side lengths, and no right angles. Marcia's quadrilateral can be described as
a ?

Answers

Answer: rhombus but no a square

Step-by-step explanation:

Type the correct answer in the box. Round your answer to the thousandth place.
The board of directors of a company knows that the probability that carbon emissions from the company’s factory exceed the permissible level is 35%. They hire a consultant who uses a carbon footprint calculator to test the emissions level. The accuracy of the test is 85%.
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is
.

Answers

Answer:

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35

Accuracy of the test of emissions level = 85% = 0.85

2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?

These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:

Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65

Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)

Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:

0.65 * 0.2975 = 0.193375

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place

MARK BRAINLIEST PLS

What is the wall height for H??

Answers

Answer:

Step-by-step explanation:

Side "h" ( wall height ) is 35

To find:-

The height of the wall "h".

Solution:-

[tex]{\boxed{\mathcal{\red{The\:height\:of\:the\:wall\:"h"\:is\:35.71\:ft.}}}}[/tex]

Step-by-step explanation:

[tex]\sf\purple{Using\:Pythagoras \:theorem, \:we\:have}[/tex]

[tex]( {Perpendicular})^{2} + ( {Base})^{2} = ( {Hypotenuse})^{2} \\ ➡ \: {h}^{2} + ({35 \: ft})^{2} = ({50 \: ft})^{2} \\ ➡ \: {h}^{2} + 1225 \: {ft}^{2} = 2500 \: {ft}^{2} \\ ➡ \: {h}^{2} = 2500 {ft}^{2} - 1225 \: {ft}^{2} \\ ➡ \: {h}^{2} = 1275 \: {ft}^{2} \\ ➡ \: h \: = \sqrt{1275 \: {ft}^{2} } \\ ➡ \: h = 35.707\: ft \: \\ ➡ \: h = 35.71\: ft[/tex]

[tex]\sf\red{Therefore\:the\:height\:of\:the\:wall\:"h"\:is\:35.71\:ft.}[/tex]

To verify :-

[tex]( {35.71 \: ft})^{2} + ( {35 \: ft})^{2} = ({50 \: ft})^{2} \\ ✒ \: 1275 \: {ft}^{2} + 1225 \: {ft}^{2} \: = 2500 \: {ft}^{2} \\ ✒ \: 2500 \: {ft}^{2} = 2500 \: {ft}^{2} \\ ✒ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Please help A.S.A.P its due today!

Answers

Answer: Ok Here you go.

Step-by-step explanation:

Round 45.628 to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

45.6

The function f(x) is graphed below. what is f(1)?

Answers

Answer:

f(1) = - 3

Step-by-step explanation:

Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then

f(1) = - 3

7 2/3-(1 2/4+3 6/8) PLS TELL ME THE RIGHT ANSWER!!!!!!!!

Answers

Answer:

The answer should be 29/12 or 2 5/12

The ratio of the measurement of an angle to its complement is 1: 2. Find the measurement of the angle and it’s complement.

Answers

Answer:

1.x=90 degrees

2.smaller angles =30

3.larger angles =(30×2)=60

Step-by-step explanation:

Complement angle=90 degrees

90/3 (because need to separate into 3 parts) =30 degrees

1part =30 degrees

1:2

(1×30):(2×30)

30:60

what does the following expression mean?
7!

A. 7+6+5+4+3+2+1
B. 7·6·5·4·3·2·1

Answers

Answer: B

Step-by-step explanation:

A factorial is multiplying the integer and all of the integers below it together.

The product of a whole number 'n' with every whole number until 1 is called the factorial. The correct option is B.

What is a factorial?

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

The expression 7! means 7 factorial which is expanded as,

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

Hence, the correct option is B.

Learn more about Factorial:

https://brainly.com/question/16674303

#SPJ2

If on a triangle, angle A is 5x, B is 4X, and C is
3x, what is the measurement for each angle.

Answers

Answer:

A=75, B=60, C=45

Step-by-step explanation:

5x+4x+3x=180

12x=180

x=15

plug them in and get

A=5(15)=75

B=4(15)=60

C=3(15)=45

the sum of two rational numbers is -5 if one of the number is -13/6 find the other number​

Answers

Answer:

[tex]Let \ the \ number \ be = x\\sum \ of \ 2 \ rational \ numbers = -5\\\\x + \frac{-13}{6} = -5\\\\x - \frac{13}{6} = -5\\\\[/tex]

[tex]x = -5 + \frac{13}{6} = \frac{-30 + 13}{6} = -\frac{17}{6}[/tex]

The other rational number = -17/6

Answer:   -17/6

======================================================

Work Shown:

A = first rational number = -13/6B = second rational number = unknown

A+B = -5 ... since the sum of both is -5

B = -5-A

B = -5-(-13/6)

B = -5+13/6

B = -30/6 + 13/6

B = (-30+13)/6

B = -17/6  is the answer

---------------

Extra info:

This improper fraction converts to the mixed number -2 & 5/6

In decimal form, it's approximately equal to -17/6 = -2.833

Determine the value of x in the diagram.

Answers

The answer to the question is 114
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