The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction.

Answers

Answer 1

Answer:

12/17

Step-by-step explanation:

Let

Numerator of the fraction = x

Denominator of the fraction = x + 5

The fraction is

x / (x + 5)

if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4.

x + 3 / (x + 5) + 3 = 3/4

x + 3 / x + 8 = 3/4

Cross multiply

(x + 3)4 = (x + 8)3

4x + 12 = 3x + 24

4x - 3x = 24 - 12

x = 12

Recall,

x / (x + 5)

= 12 / (12 + 5)

= 12/17

The original equation = 12/17


Related Questions

To join the tennis club, there is a $10.20
initial fee and a $3.90 yearly fee. What
would be the value of the slope in this
situation?
Use this space to write down notes or work through problems
Your teacher will see what you wrate.

Answers

Answer:

10.20

Step-by-step explanation:

Let

y = Total fee

Initial fee = $10.20

Yearly fee = $3.90

Number of years = x

The equation:

y = 3.90x + 10.20

Recall,

y = mx + c

Where,

x = slope

c = y - intercept

Therefore,

The y - intercept from y = 3.90x + 10.20 is 10.20

Find the length of the segment indicated. Round to the nearest tenth if necessary.

Answers

Answer:  

x=5  

Step-by-step explanation:

x is the length of the line segment from the center to the boderline of circle. So x=5

find the missing side lengths answers are in simplest radical form with the denominator rationalized​.​

Answers

Answer:

Option B is the answer

Step-by-step explanation:

x= 8, y=4√2

We know from pythagorean's law

(Hypotenuse) ^2 = (base)^2 + (height) ^2

Violet is playing a board game with her friends. She earns 78 points during the game, and she receives a game-end bonus for achieving her secret objective. With her bonus, Violet came in second place with 91 points. Let b be the number of points Violet earned for the game-end bonus. Write and solve an equation for b.

Answers

Answer:

13

Step-by-step explanation:

78 + b = 91            Equation: Subtract 78 from both sides.

b = 91 - 78            

b = 13

You don't need her position in the game or the fact that 91 placed her second.  

find the following ratios right triangle. PLS HURRY and disregard my answers.

Answers

Answer:

sinA= 5/13; cosB= 5/13

Step-by-step explanation:

sine is opposite over hypotenuse so 5/13. cosine is adjacent over hypotenuse so 5/13

Write an expression in simplified form for the area of each rectangle. Width: 7 Length: 5n-9

Answers

Answer:

35n - 63

Step-by-step explanation:

The area of a rectangle is given by

A = l*w where l is the length and w is the width

A = 7(5n-9)

Distribute

A = 35n - 63

Area of rectangle = Length * Width

Length is 5n-9

Width is 7

⇛Area = 5n-9(7)

⇛Area = 33n - 63

Explain why they substituted cos(60) with 1/2 ?

(Look at image)

Answers

9514 1404 393

Answer:

  equals can be substituted anytime anywhere

Step-by-step explanation:

cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.

__

If you don't substitute at some point, you find the answer to be ...

  x = 10/cos(60°)

Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

B

Step-by-step explanation:

Total surface area=Sum of all figure area

=380+928+380+608=2296

What is | −34 | ?
-------
l l
-------
l l
--------

Answers

Step-by-step explanation:

Here,

| −34 |

= 34

As,

| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1

Answer:

34

Step-by-step explanation:

|-34|

The absolute value bars means taking the non-negative value

|-34| = 34

Please do a explanation:’)

Answers

Answer:

3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)

By BODMAS rule...

= 3x-5x-3xy-2xy+6

= -2x-5xy+6

hope you understood...

Answer and Step-by-step explanation:

We are given an expression to simplify. According to PEMDAS

(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.

With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.

Start with the first set of terms in the expression.

3(x - xy)

We need to multiply 3 to the x and negative xy.

3x - 3xy

Now we go to the next set of terms in the expression.

-x(2y + 5)

Distribute the x (multiply) to the 2y and 5.

-2xy - 5x

Now, we combine like terms within the entire expression.

Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.

3x - 3xy - 2xy - 5x + 6

____________________________________________

-5xy - 2x + 6   <- This is the final answer; the simplified version of the expression.

#teamtrees #PAW (Plant And Water)

Write parametric equations of the line [tex]-4x+y=-2[/tex]

a. [tex]x=t, y=4t-2[/tex]

b. [tex]x=t, y=-4t-2[/tex]

c. [tex]x=t, y=4t+2[/tex]

d. [tex]x=t, y=-4t+2[/tex]

Answers

Answer:

Option a

Step-by-step explanation:

Assign a value to variable x =t

Eq becomes

-4t+y=-2

y=4t-2

PLZ Help! I'm crying over this....

Answers

Answer:

D

Step-by-step explanation:

The correct option is the Car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

From the graph we can tell that the distance of the car is a function and it's a line

Answered by G a u t h m a t h

Can someone help with number 4 please? Due in 15 mins!!

Answers

Answer:

A. AG = 2 × GD

F. GE = (1/2) × BG

Step-by-step explanation:

The given point G on triangle ΔABC, which is the point of intersection of the medians of the triangle, is the centroid of the triangle

The centroid divides each median line in the ratio 2:1, therefore, we have;

The length of AG = 2 × GD, CG = 2 × GF, and BG = 2 × GE

∴ GE = (1/2) × BG

Therefore, the correct options are;

A. AG = 2 × GD, and F. GE = (1/2) × BG

Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?” The results are shown in the table below:
(attached)

Help Andrew determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process. ​

Answers

Answer:

Honor students have a probability of 43% to non-honor students 25%.

Step-by-step explanation:

Prob of honor student getting math class choice = 215/500 = 43%

Prob of non-honor student getting math class choice = 125/500 = 25%

Helpppppppppp I need help

Answers

Answer:

she is 4 years old just divide 39 by 9


PLEASE ANSWER FAST

The solution set x s2 or x> 4 is consistent with an equation of the form


Answers

Answer:

yes

Step-by-step explanation:

it is not correct I think

i need serious helpplease its confusing....

Answers

area: 40p² + 24p

wide: 8p

(40p² + 24p)/ 8p

5p + 3

so, length: 5p + 3 -> (a)

perimeter = wide x 2 + length x 2

16p + (10p + 6)

26p + 6 -> (b)

the length and breadth of a hall is two times its breadth and the breadth is two times its height if the cost of papering its wall at rs 25 per sq metre is rs 10800 find the cost of paving marbles on its floor at rs 250 per sq .metre
.•♫•♬•plzz helpp•♬•♫•.•♬•♫•.​

Answers

Answer:

Answer

Let height of the room be 'h' m.

∴ length of the room=2hm

breadth of the room=

2

3

hm.

area of 4 walls=

1.60

179.20

=112m

2

2(l+b)×h=112

2(2h+

2

3

h)×h=112

2

7

×h

2

=112

h

2

=

14

112×2

=16

h=

16

=4m

length=4×2=8m, breadth=

2

3

×4=6m

for, tiling the floor area=l×b=8×6=48m

cost of tiling=48×6.75=Rs.324

Solve for p.

19p–2p+16p+12=

18
p=

Answers

Answer:

6

BRAINLIEST, PLEASE!

Step-by-step explanation:

-19p - 2p + 16p + 12 = -18

-5p + 12 = -18

-5p = -30

p = 6

Answer:

p = 6

Step-by-step explanation:

Given

- 19p - 2p + 16p + 12 = - 18 ( simplify left side )

- 5p + 12 = - 18 ( subtract 12 from both sides )

- 5p = - 30 ( divide both sides by - 5 )

p = 6

in 16 years, Marissa will be five times older than she is today. How old is she?

Answers

Answer:

4

Step-by-step explanation:

1 5

2 10

3 15

4 20

i wrote it out

x+16=5x

16=4x

4=x

Marissa is currently four years old.

What is algebra?

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.

Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

Let's represent Marissa's current age "x".

According to the given question, in 16 years she will be five times older than she is today, which we can express as:

x + 16 = 5x

Solving for x, we can subtract x from both sides:

16 = 4x

Dividing both sides by 4, we get:

x = 4

Therefore, Marissa is currently 4 years old.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

I’ve been working on this all day please help me solve it

Answers

Answer:

a and b) 256

c) 5

d) 400

e) 10

Step-by-step explanation:

160(2) - 16(2)² = 320 - 64 = 256

h(2) = 256

find zeros

0 = -16x²-160x

0 = -16x(x-10)

-16x=0    x = 0

0 = x-10   x = 10

Δx₁,x₂ = 10/2 = 5    max height is at x = 5

find max height using x-value:

-16(5)²+160(5) = -80 + 480 = 400

for e) use second root (x = 10)


Find the value of x in the parallelogram.


Answers

Answer:

75

Step-by-step explanation:

Since the two angles are on the same side of the parallelogram, they're supplementary.

x + (2x - 45) = 180

3x - 45 = 180

3x = 225

x = 75

Daniel buys a new car.

In the first year, the value of the car decreases by 12% of its original value.

The value of the car at the end of the first year is £9680.

(a) Work out the original value of the car.

The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.

Answers

Answer:

Step-by-step explanation:

Value of the car at the end of the first year = £9680

Depreciation = 12 %

Original price = £ x

If we reduce 12% of original price from x, we will get £9680

x - 12% of x  = £ 9680

[tex]x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000[/tex]

Original price  = £ 11000

indices-find The value of 6*7^3​

Answers

Answer:

[tex]6 * 7^3 = 2058[/tex]

Step-by-step explanation:

Given

[tex]6 * 7^3[/tex]

Required

Solve

App;y law of indices:

[tex]6 * 7^3 = 6 * 7*7*7[/tex]

Multiply

[tex]6 * 7^3 = 2058[/tex]

In the town of Rockville, 35 of the students in middle school participate in organized sports after school. If 14 of them play basketball, what fraction of the students play basketball?

Answers

Answer:

2/5

Step-by-step explanation:

The fraction that play basketball is the number that play basketball over the total

14/35

Divide the top and bottom by 7

2/5

In a group of 60 numbers, average of
the first 35 numbers is 18, that of next
15 numbers is 10 and that of the
remaining is 30. What is the average
of the entire group of numbers?
a)
16
b)
17
c)
18
d)
19

Answers

Answer:

c. 18

Step-by-step explanation:

First, you would find the total sum of the 60 numbers. The average is always the sum of the numbers divided by the number of numbers.

35*18=630

15*10=150

Now we do not know how many numbers the last group has. However, we can find it out doing 60-35-15 to see how many numbers are left. There would be 10 numbers left

10*30=300

630+150+300=1080

1080/60=18

Hence, the answer is C(18)

if the ordered pairs (x-2,3y+1) and (y+1,x+3) are equal,find x and y
plz help me ​

Answers

x-2=y+1
x=y+3

3y+1=x+3
x=3y-2

3y-2=y+3
3y-y=5
2y=5
y=2.5

x=(2.5)+3
x=5.5

Thank you so much thank y’all for your help

Answers

Answer:

2(4) + 2(l) >14 (second option is the answer).

Second option!
Hope this is correct!

helpppppppppppppppppppppp..... .......


Answers

Answer:

[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]

I need help ASAP!!!Please explain the answer

Answers

Answer:

The formula for area is length times width.

it's 8m long, and 6m wide. When we multiply it, we get 48m that is for one side of the cube, so we count how many sides there is. There's 6, so we multiply 6 times 48 and the complete surface area for the whole cube is 288m

Other Questions
What is the slope? Please Help the contribution of Charles Babbage in the history of computer What is the reminder? Help Since you have studied U.S. history, can you name some ways in which the Nrnberg Laws and Jim Crow laws were similar? Which statement best completes the diagram? Write the equivalent expression for the following radical expressions. Simplify numerical expressionswhen possible. (1 point)please help asap A block of dry ice (-40C) is placed in contact with an ice cube (-10C). What will happen, assuming no chemical reactions occur? O Heat will flow from the ice cube to the dry ice. O Heat will flow from the dry ice to the ice cube. O There is no way to tell without a thermometerO No heat will flow. Given HM = 24 and mHK = 66 , find x and y help whats the volume of this Which expression is equivalent to the given expression? What name was given to the first baby of english heritage? What was the first permanent english settlement in the new world? What was the first legislative Assembly in the colonies? PLEASE HELP I'M GOING INTO 8TH GRADE AND I HAVE NO IDEA HOW TO DO ALGEBRA AND THIS IS CONFUSING HELP MY! :l 4x - 8 > -40 Find the volume of a rectangular solid thatis 9 ft. by 12 ft. by 8 ft.Help please Please help me. if I dont complete my course Im getting sent back to my parents house, and I need to complete this courseThis is similar polygons, and the lessons I get dont help John and mike got paid $40.00 for washingcar. John work one hour, mike worked 1.5 hrs.How much do they get paid for time worked? 4. What was DNA stand for? Which statement best shows the difference between romantic and realist literature A) Your best friend developed a misunderstanding and helsbe is not allowing you to clear up the matter. It upsets you a lot. Write a diary entry expressing your feelings, thoughts and plans to resolve the matter in about 50 words. what is the fundamental difference between rural society and urban society? The letter was mailed by marilyn (change to active)