the numerator of a fraction is 1 more than twice its denominator if 4 is added to both the numerator and the denominator the fraction reduces to 5/3 find the denominator

Answers

Answer 1

Answer:

11

Step-by-step explanation:

Given Fraction

Let the denominator = x

The numerator is 2x + 1

2x + 1

=====

x

The new fraction

2x + 1 + 4

=========

x + 4

Equation

2x + 5               5

======    =     ====

x + 4                 3

Solution

Cross Multiply

3(2x + 5) = 5(x + 4)  

Remove the  brackets

6x + 15 = 5x + 20

Subtract 5x from both sides

6x - 5x + 15 = 20  

Subtract 15 from both sides

x = 20 - 15

x = 5

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

Answer

2(5) + 1 = 11

The original numerator is 11

 


Related Questions

Please help. 10 points. Identify the common difference OR common ratio, depending on whether the sequence below is arithmetic or geometric. Then use the appropriate formula to write a rule for the sequence. Finally, use the rule to find the tenth term in the sequence.


–15, –9, –3, 3, 9, ...

Answers

Answer:

hope this helps! please mark brainliest

Step-by-step explanation:

The COMMON DIFFERENCE is 6

so it's a arithmetic sequence.

The formula is an = a1 + (n-1)d

to find the 10th term: a10 = -15 + (10-1)6

the 10th term is 39

*a1 = the 1 is supposed to go underneath it but can't type it on computer

*an = the n is supposed to go underneath it also

What equivalent fractions do you see represented in the picture? Type them and explain how you know they are equivalent type it in!

Answers

Answer: 2/8, 4/8, 4/4, 8,8

Step-by-step explanation:

They all have the denominator of 8.

If r = 6 units and h = 13 units , what is the volume of the cylinder shown above? Use 3.14 for pi

Answers

Answer:

V= 468 * 3.14 = 1.469.52

Step-by-step explanation:

Volume of a cylinder = π r^2 h

  V= 3.14  *6^2 * 13

   V= 1469.52 cubic unit                      

What is the solution to this equation?
x + 7 = 23
A. x = 30
B. x = 14
c. x= 16
D. x = 29

Answers

________________________________

Solution,

X+7=23

or,X=23-7

X=16

The value of X is 16.

Hope it helps

Good luck on your assignment

______________________________

Answer:

Step-by-step explanation:

x  + 7 = 23

When doing this problem, the general goal is to make one side only have 'x'. To do that, subtract from one side the amount that you subtract from the other side.

x + 7 = 23

   - 7 = -7     <-- This is where you remove from one side what you remove          x + 0 = 16           from the other side.

Now that one side only has X, we can find the answer.

x = 16

Two parallel lines are crossed by a transversal. Parallel lines u and w are cut by transversal t. At the intersection of lines u and t, the bottom left angle is 105 degrees. At the intersection of lines w and t, the uppercase right angle is g degrees. What is the value of g? g = 75 g = 80 g = 100 g = 105

Answers

Answer:

I think it's 105.

Step-by-step explanation:

The wording is sort of unclear, but I drew it out and it seems that they are alternate interior angles. Alternate interior angles are congruent! If this is not the right answer, please tell me and I might be able to tell another one.

Well, technically, it has to be either 75 or 105, because all of the special relationships of triangles are either that they are supplementary or they are congruent. So if it's not 105, try 75 :)

The measure of the angle "g" is also equal to 105 degrees

Find the diagram attached below;

From the diagram, we can see that angle 105 and "g" are situated at the corner on both lines u and w.

This means that both angles are equal according to the alternate interior angle theorem, hence the measure of the angle "g" is also equal to 105 degrees

Learn more here: https://brainly.com/question/1751268

Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T. Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l? Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m. Use the compass to construct a circle centered at Q through point P. Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P. Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q. Use the compass to construct a circle centered at P through point Q.

Answers

Answer:

The answer is B on Edge

Step-by-step explanation:

Answer:( B)Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.

Step-by-step explanation:

Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100 + te2 C) A = 100e2t D) A = 100 + e2t

Answers

Answer:

100 (+1) x 2^t     = 100 (+2et) as we plus and we multiply before squaring the years.

Step-by-step explanation:

You cna now work this out as +1 represents the 100% + 200% sum.

Answer:

C) [tex] A = 100e^{2t} [/tex]

Step-by-step explanation:

Continuous growth:

[tex] A = Pe^{rt} [/tex]

r = rate as a decimal

r = 200% = 2

P = initial value = 100

[tex] A = 100e^{2t} [/tex]

I’ll mark you brainliest

Answers

Answer:

42

Step-by-step explanation:

In a rectangle, the diagonals have the same length. Therefore:

[tex]3x+6=5x-18 \\\\3x+24=5x \\\\ 24=2x \\\\x=12 \\\\BD=5(12)-18=60-18=42[/tex]

Hope this helps!

Answer:

BD = 42

x=12 is found below as a way to find x

We can find 42 by adding together the equations

3x+6 = 5x-18

+18 = 5x(-3x-6)

18 + 6 = 2x

24 = 2x

x= 12  

We can then plug in for 5x and 3x

as BD = 5x-18 = 3x+6

5(12) = 60 -18 = 42 and 3(12) =36+6 = 42

To find line BD = 42

Step-by-step explanation:

3x+6= 42

3x = 42-6

3x = 36

x = 12

5x-18 = 60

5x = 60- 18

5x = 42

x=12

Please help me with this I will really appreciate it thank you! It’s geometry

Answers

Answer:

150 degrees

Step-by-step explanation:

90+30=120.

Since angle afc is bisected by line bf, that means that the angles formed equal each other. Since the total angle measurement is 180 degrees, we do 180-120=60. 60/2=30. 120+30=150 degrees.

Please help i am being timed. For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?

Answers

Answer:

40 adults and 140 kids

Step-by-step explanation:

40 adults

pairs of adults= 20

20 x 7kids= 140 kids

40 adults plus 140 kids = 180 total

Answer:

40 adults and 140 kids

Step-by-step explanation:

for every 9 people there are 2 adults and 7 kids

so if there are 180 people in total we would

180 / 9

180 / 9 = 20

so there are 20 groups of 2 adults and 7 kids

40 adults and 140 kids

Calculate the radius of the circular rug. Use 3.14 for π.







Enter your answer in the box below.

____ feet









Answers

Answer:

[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]

Step-by-step explanation:

a=pir^2

153.86 = 3.14*r^2

[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]

You're welcome and don't forget to click THANKS

Answer:

\sqrt{\frac{153.86}{3.14} } = r

Step-by-step explanation:

a=pir^2

153.86 = 3.14*r^2

\sqrt{\frac{153.86}{3.14} } = r

if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 5 hours a day.

Answers

Answer:

7 days

Step-by-step explanation:

Anita took off in her helicopter from 129 meters below sea level.She later landed at a location 539 meter above

Answers

Answer:

668

Step-by-step explanation:

She starts at 129 below sea level so she has to travel 129 to get to sea level then she ends at 539 so she has to travel 539 to get to 539 above so we add both numbers to get the answer

Answer:

668

Explanation:

To solve this problem, add 539 and 129 meters together.

539 + 129 = 668

Therefore, 668 represents Anita's change in altitude.

According to​ Bayes' Theorem, the probability of event​ A, given that event B has​ occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use​ Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
​, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
​, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
​, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half

Answers

Answer:

0.0625

Step-by-step explanation:

Data

P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2

The probability of event​ A, given that event B has​ occurred is computed with the following equation:

P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]

Replacing with data:

P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625

Answer:5.17%

Step-by-step explanation:

If a case of chips has 27 bags in it. How many cases would they need for 410 bags of chips?

Equation:

Answers

Answer:

they would need 15 cases for 410 bag of chips

Step-by-step explanation:

410/7= about 15

Question 8 Multiple Choice Worth 1 points)
(01.03 MC)
1
Riley and Francesca both commute to work. Riley's commute on the train takes 12 minutes more than as many minutes as Francesca's commute by car. It takes Riley 36
2
minutes to get to work. Write an equation to determine how many minutes it takes Francesca to get to work.
36
- 12
36 = 2x - 12
36 - 2x + 12
36 = x+12

Answers

Answer:

[tex]\dfrac{x}{2}+12=36[/tex]

Step-by-step explanation:

As it is given that

Both Riley and Francesca commute to work.

And, the Riley takes 12 minutes more than as Francesca as Riley takes 36 minutes

So for determining how many minutes is required for Francesca to get to work we need

Let us assume the time taken by Francesca to get to work is x

So, the time taken by Riley is

[tex]= \dfrac{x}{2}+12[/tex]

And, Riley takes 36 minutes to get to work.

So, the equation would be

[tex]\dfrac{x}{2}+12=36[/tex]

Look at the equation shown below.

−6x−8=4

Which of the following represents the solution to the equation?

x=−23

x=−2

x=2

x=23

Answers

_____________________________

Hey!!

Solution,

-6x-8=4

or, -6x=4+8

or, -6x=12

or,X=12/-6

X=-2

The right answer is -2.

Hope this helps..

____________________________


please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

D is the correct answer

Step-by-step explanation:

-17/27=-0.63

-8/18=-0.44

In a cartesian plane

-ve side is in the left side of zero

after zero you meet -0.44 first before -0.63

This means, both lie to the left of zero, but -8/18 lies to the right of -17/27.

Find the domain and range of the function:
f(x) =5-x-3 to the square root
Domain:
Range:

Answers

Domain: x ≤ 5

Range: y ≤ -3

What do you mean by Square roots?

The square root of a number is an element that can replicate itself to find that number. The square root symbol is \ sqrt {} square root of, end square root. Finding the square root of a number is the opposite of multiplying a number.

Is √ it a square number?

The square root of a number is a number that, when multiplied by itself, is equal to the required value. So, for example, the square root of 49 is 7 (7x7 = 49). The process of multiplying a number itself is called squaring.

Learn more about Square Roots at https://brainly.com/question/620307

#SPJ2

help me please asap!!!!!

Answers

Answer:

x=10

Step-by-step explanation:

In order to solve this equation we must break it down. This question is going to require the Pythagorean theorem [tex]a^{2} +b^{2}=c^{2}[/tex]. To use this we need a right triangle which happens to be half of the triangle shown. Now we can plug in the numbers.

[tex]7^{2}+\frac{1}{2} x^{2} =\sqrt{74}^{2}[/tex]

[tex]49+\frac{1}{2} x^{2} =74[/tex]

[tex]\frac{1}{2} x^{2} =25[/tex]

[tex]\frac{1}{2} x=5[/tex]

[tex]x=10[/tex]

This ends in x equaling 10. I hope this helps you!

Carbon-141414 is an element which loses exactly half of its mass every 573057305730 years. The mass of a sample of carbon-141414 can be modeled by a function, MMM, which depends on its age, ttt (in years). We measure that the initial mass of a sample of carbon-141414 is 741741741 grams. Write a function that models the mass of the carbon-141414 sample remaining ttt years since the initial measurement.

Answers

Answer:

The function that models the mass of the carbon-14 sample remaining t years since the initial measurement is

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Step-by-step explanation:

Radioactive reactions always follow a first order reaction dynamic

Let the initial concentration of Carbon-14 be M₀ and the concentration at any time be M

(dM/dt) = -kM (Minus sign because it's a rate of reduction)

(dM/dt) = -kM

(dM/M) = -kdt

 ∫ (dM/M) = -k ∫ dt 

Solving the two sides as definite integrals by integrating the left hand side from M₀ to M and the Right hand side from 0 to t.

We obtain

In (M/M₀) = -kt

(M/M₀) = e⁻ᵏᵗ

M(t) = M₀ e⁻ᵏᵗ

Although, we can obtain k from the information on half life.

For a first order reaction, the rate constant (k) and the half life (T) are related thus

T = (In2)/k

The half life is the time taken for the radioactive substance to decay to hAlf of its original amount, and according to the question, T = 5730 years

k = (In 2)/5730 = 0.000120968 /year. = 0.000121 /year

M(t) = M₀ e⁻ᵏᵗ

k = 0.000121 /year, M₀ = 741 grams

The equation then becomes

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Hope this Helps!!!

Answer:

M(t)=741*(1/2)^t/5730

PLEASE HELP URGENT!!
Examine the following graph,where a horizontal dilation maps p(x) to I(x)

Answers

Answer:

D) a horizontal stretch

Step-by-step explanation:

"A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis." Quoted from mathbitsnotebook.com.

What is the 18th term in an arithmetic sequence with the first term equal to 6 and the constant difference equal to 17?

Answers

Answer: 295

Step-by-step explanation:

[tex]Formula: a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n[/tex] = nth term (the term we're trying to find.)

[tex]a_1[/tex] = first term

[tex]n[/tex] = nth term

[tex]d[/tex] = difference

[tex]a_1_8=6+(18-1)(17)\\a_1_8=6+(17)(17)\\a_1_8=6+289\\a_1_8=295[/tex]

8x + 9y = 9 3x – 5y = 20 a. (3.36, –1.99) c. (0, –1.99) b. (–1.11, 2.79) d. (3.36, 2.79)

Answers

Answer:

x = 225/67 , y = -133/67 or decimal x≈3.3582 and y≈-1.9851, thus a. is the answer rounded.

Step-by-step explanation:

Solve the following system:

{8 x + 9 y = 9 | (equation 1)

3 x - 5 y = 20 | (equation 2)

Subtract 3/8 × (equation 1) from equation 2:

{8 x + 9 y = 9 | (equation 1)

0 x - (67 y)/8 = 133/8 | (equation 2)

Multiply equation 2 by 8:

{8 x + 9 y = 9 | (equation 1)

0 x - 67 y = 133 | (equation 2)

Divide equation 2 by -67:

{8 x + 9 y = 9 | (equation 1)

0 x+y = -133/67 | (equation 2)

Subtract 9 × (equation 2) from equation 1:

{8 x+0 y = 1800/67 | (equation 1)

0 x+y = -133/67 | (equation 2)

Divide equation 1 by 8:

{x+0 y = 225/67 | (equation 1)

0 x+y = -133/67 | (equation 2)

Collect results:

Answer: {x = 225/67 , y = -133/67

A ball is thrown straight up with an initial velocity of 35.7 m/s. How long does
it take to hit the ground?

Answers

y = v₀t - gt²/2

For y=0 (back to where we started),

0 = t(v₀ - gt/2)

t=0 (which we knew) or v₀ - gt/2 = 0

v₀ = gt/2

2v₀ = gt

t = 2v₀/g

t = 2 (35.7 m/s) / (9.8 m/s/s) = 7.3 seconds

Answer: 7.3 seconds

45x^7 divided by 9x^2

Answers

Answer:

5x^5

Step-by-step explanation:

45x^7 ÷ 9x^2=45÷9 × x^7÷x^2= 5x^5

The right answer is 5x^5

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Solve the equation shown below.

1/2x−6=4

x =−4

x=−2

x=10

x=20

Answers

1/2x - 6 = 4
Add 6 to both sides.
1/2x = 10
Multiple each side by 2/1 (reciprocal) to get x by itself.
x = 10 * 2/1
x = 20

Final answer: x = 20

Hope this helped!

Answer:

x = 20

Step-by-step explanation:

→Add 6 to both sides:

[tex]\frac{1}{2} x-6=4[/tex]

[tex]\frac{1}{2} x=10[/tex]

→Multiply both sides by 2:

x = 20

I will give the brainliest answer

Answers

Answer:

The answer is B.

Step-by-step explanation:

The shape form a Rectangular Pyramid.

Answer:

B, a Pyramid

Step-by-step explanation:

The net has a square base with 4 triangular faces. D, which is also a triangular prism, is not right as it has a triangular base, with every side being a triangle.

So B is the right answer.

PLZ HELP ASAP WILL GUVE BRAINLIEST: Three times the sum of a number and four is 10 less than the same number. What is the number?

Answers

Answer:

6

Step-by-step explanation:

ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!

just tell me if I'm correct​

Answers

Answer:

Yes you are correct for x AND y

Step-by-step explanation:

Yes, your answer is correct.

Other Questions
I need help with this question How is each of the following likely to be affected by a recession: a. the natural unemployment rate. b. the cyclical unemployment rate. c. the inflation rate. d. the poll ratings of the president i need chloe.................... On December 31, the following data were accumulated for preparing the adjusting entries for Bellingham Realty: The supplies account balance on December 31 is $5,635. The supplies on hand on December 31 are $1,495. The unearned rent account balance on December 31 is $4,600 representing the receipt of an advance payment on December 1 of four months rent from tenants. Wages accrued but not paid at December 31 are $2,035. Fees earned but unbilled at December 31 are $15,450. Depreciation of office equipment is $4,420. Required: 1. Journalize the adjusting entries required at December 31. Refer to the Chart of Accounts for exact wording of account titles. 2. What is the difference between adjusting entries and correcting entries? The perimeter of the rectangle is below 76 units. Find the length of side AD. AB on rectangle 3y + 3 CB 2y Please help Im struggling with this one :(( Scenario 3: You have a very important Science project that is due tomorrow and you havent even started it yet. You plan on sending several hours doing it tonight when you get home after practice when your friend suddenly asks you to go to a concert tonight. They won tickets to your favorite group and want you to go with them. You need to get the project done because you have a D average in Science right now, but you really want to go to the concert with your friend. Step 1: Identify the problem Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n3+0.15n 0.25n+30.15n+3 3+0.15n>0.25n The graph shows the amount of protein contain in a certain brand of peanut butter. Which statement describes the meaning of the point (6, 30) on the graph?A.) There are 6 g of protein per tablespoon of peanut butter.B.) There are 30 g of protein per tablespoon of peanut butter.C.) There is 6 g of protein in 30 tablespoons of peanut butter.D.) There are 30 g of protein in 6 tablespoons of peanut butter. On January 2, 2015, Vaughn Corporation issued $1,650,000 of 10% bonds at 96 due December 31, 2024. Interest on the bonds is payable annually each December 31. The discount on the bonds is also being amortized on a straight-line basis over the 10 years. (Straight-line is not materially different in effect from the preferable "interest method".) The bonds are callable at 102 (i.e., at 102% of face amount), and on January 2, 2017, Vaughn called $1,140,000 face amount of the bonds and redeemed them. Ignoring income taxes.Required:Compute the amount of loss, if any, to be recognized by Vaughn as a result of retiring the $1,140,000 of bonds in 2017 Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5,11)} D. {(4,5),(6,7),(8,9),(8,11)} Which is equivalent to 4 pencils for every 2 students? PLEASE HELP. Really important How much work must be done on a 10 kg snowboard to increase its speed from 4 m/s to 6 m/s? Which part of the Declaration ofIndependence addresses the rightsof citizens? HELP 50 POINTSSSSSSSSSSWhich graph best represents the relationship between sustainability and biodiversity? Which amendment changed how the federal government gets the money it needs torun the country?13th14th15th16th what is 2/3 of 460? Just a little easy one for points Read the list of sentences from the article. 1.Some plantation masters waited to deliver the news. 2.An estimated 5,000 enslaved men and women were in the state in 1836, and six times as many a decade later. 3.Granger urged freed men to continue working on plantations, but only after signing labor agreements. 4.While there was celebration on June 19, 1865, there were also acts of violence against freed men and women. Which two sentences taken together provide the BEST evidence to support the idea that freedom was not given easily by many prior slave owners? Find the value of x in the following quadrilateral.