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

Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.

How many angles are alternate exterior angles with angle 5?

Answers

Answer:

The answer is 7 angles.  

Step-by-step explanation:

There 7 alternate exterior angles with angle 5.  

Correct me if I'm wrong!

Thank you!!!

The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.

What is an alternate exterior angles ?

The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.

Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.

Hence, the angle that is alternate exterior angles with angle 5 is as follows:

∠11

learn more on alternate exterior angles here: https://brainly.com/question/16244138

Fill in the table to help you make a conjecture about the geometric sequence An=(0.5)n-1

N=1,2,3,4,5
A1=1,0.5,0.25,W,0.0625
Sn=1,1.5,x,y,1.9375

W=? X=? Y=?

Answers

Answer:

W = 0.125

X = 1.75

Y = 1.875

Step-by-step explanation:

The geometric sequence looks like of first term 1 , and of common ratio (r=0.5).

Therefore each new term is found by multiplying the previous one by 0.5:

A1 = 1

A2 = 0.5

A3 = 0.25

A4 = 0.125 = W

A5 = 0.0625

And the partial sums are the additions of the terms until the last one considered:

S1 = 1

S2 = 1.5

S3 = 1.75  = X

S4 = 1.875  = Y

S5 = 1.9375

therefore,

W = 0.125

X = 1.75

Y = 1.875

Answer:

The next answers are approaching a number and 2

Step-by-step explanation:

Which is the best estimate for the sum 2/9 +10/11 ?
A. 0 + 0 = 0
B. 12+12=1
C. 1 + 1 = 2
D. 0 + 1 = 1

Answers

Answer:

D

Step-by-step explanation:

Indicate the method you would use to prove the two triangles congruent. If no method applies, enter "none."
SSS
SAS
ASA
AAS
None

Answers

Answer:

SSS Theorem

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

They share a side so that's the third side that's the same

Samantha is going to the store to buy cat food. A small bag of cat food costs $6 while a large bag costs $14. She plans to buy at least 4 bags of food but spend no more than $56. Which of the following is a possible combination of the types of bags she can buy?

Answers

Answer:

5 small bags of cat food and 1 large bag of cat food

Step-by-step explanation:

bc thats the only one that  was no more than $54 and was at least 4 bags o food :)

The graph shows the relationship between the volume of rectangular prism and the volume of a square pyramid with an identical base and height. What is the slope of the line?
O-3
O-1/3
O1/3
O 3

Answers

Answer:

3. Do Δy/Δx

Step-by-step explanation:

Do 10/3, which is an estimate. You get an answer of 3.3. Intuitively this makes sense because the slope is a constant positive value. And 1/3 is way too small of a number to describe the steepness shown

Or actually, do 3/1 because that would give the slope from x=0 to x=1. Since the slope is constant, that answer will apply for every single point on the function

this is numbers 1,2 and 3

Answers

Answer:

1. c

i think its right i hope it is im so sorry if it is not

Find two consecutive whole numbers that 82 lies between.

Answers

Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100 respectively. (Vote me brainliest please)

I know this is easy but can someone answer this ?

Answers

Answer: 57.15°F

Step-by-step explanation: If I'm reading this correctly the tempature was 62.4°F at 6:00 PM. By 8:00 PM it dropped by 5.25°F....therefore...all we have to do is...

62.4°F - 5.25°F = 57.15°F

The tempature is 57.15°F at 8 PM, I hope this helps!

Which function has a domain and range that includes all real values?

Answers

You're supposed to post all the photos in a single question.  Anyway, this is the one that has a domain and range of all real values.

We can see a domain of all real values -- there's no x that's not included.

We can see the range of all real values -- there's no y that's not included.

Answer:

I think its c...

Step-by-step explanation:

At Work-It-Out, a gym membership is $50 per month with no registration fee. At Get Fit, the registration fee is $100 and membership costs $30 per month. Which equation could be used to find the number of months, m, for which the total cost of both gyms is the same? 100+30m=50m 50m=30+100m 100+50m=30m 50m=100−30m

Answers

Answer:

Step-by-step explanation:

50x=30x+100

The equation is 100 + 30m = 50m and the no. of months for which total cost of both the gyms will be same is 5 months.

What is a linear equation ?

A linear equation is an algebraic equation in which a variable has a highest degree of 1.

According to the given question At Work-It-Out, a gym membership is $50 per month with no registration fee and At Get Fit, the registration fee is $100 and membership costs $30 per month.

Given no. of months is m.

∴ 50m = 30m + 100

50m - 30m = 100.

20m = 100

m = 5.

learn more about linear equation here :

https://brainly.com/question/13738061

#SPJ2

factories 3t+15
factories 3a2+9a
factories a2b+ab2+ab
factories x2-25
factories 16-25×2​

Answers

Answer:

(a) 3t + 15

      3(t + 5)

(b) 3a² + 9a

       3a(a+3)

(c) a²b + ab² + ab

       ab(a +b + 1)

(d) x² - 25

       x(x-25)

(e)  I'm not sure about this one, sorry

Does (3, –8) make the equation y = –x + –5 true?

Answers

Answer:
The is true. It provides infinite solutions.

Explanation:
y = -x + -5
-8 = -3 + -5
-8 = -3 - 5
-8 = -8

Which symbol correctly compared these two fractions

Answers

Answer:

B

Step-by-step explanation:

> = greater than

= this means equal to

< = less than

[tex]\frac{8}{13} =\frac{8}{13}[/tex]

An online store sells old video games and DVDs as a bundle. A bundle of two video games and three DVDs can be purchased for $88. A bundle of one video game and two DVDs can be purchased for $51.50. Find the cost of one video game and the cost of one DVD in the bundle.

Answers

Answer:

idk just did like 9 math problems :/

Step-by-step explanation:

ill come back in an hour

What is the most efficient way to solve this equation?
18c = 108


Divide both sides by 18


Multiply both sides by 108.


Multiply the left side by 18.


Divide both sides by c.

Please don’t guess :(

Answers

Answer:

Divide both sides by 18

Step-by-step explanation:

This is the most efficient way to solve this equation because you can find the variable (c) in one step.

Divide both side by 18 since that’s the easy and the right way to get the answer which is 6. Hope this helps

Use the distributive property to write the expression without parentheses. Then simplify.
[tex]-\frac{1}{6} (6y+7)[/tex]

Answers

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)

Answers

Answer:

work is shown and pictured

Answer:

(4x + 5)(4x + 5)

Step-by-step explanation:

Took test.

Want a more in-depth explanation? Try visiting the Math Nation site.

Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3
kid's meal for his little brother. Charlie has $28. How much can he spend on
each sandwich if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
D A. Answer: $5 or less
B. Answer: $7.66 or less
O C. Inequality: 3x+5<28
OD. Inequality: 3x+5 s 28
O E. Inequality: 5x+3 s 28
OF. Inequality: 5x+3228

Answers

Answer:

A

Step-by-step explanation:

Charlie bought a $3 kids meal so 28-3 is 25. Since he wants to buy sandwiches for 5 people, he'll have to divide 25 / 5 which is 5. So $5 or less.

will mark bianleast plz plz
Which is the best description of the transformation shown?


A pentagon is translated 4 units to the right.

A pentagon is translated 9 units to the right.

A pentagon is reflected across the x-axis.

A pentagon is reflected across the y-axis.

Answers

Answer:

A pentagon is reflected across the y-axis

A pentagon is reflected across the y-axis

If you cut a 12-inch loaf of bread into -inch slices, you would have ______
slices of bread.

Answers

12, because each slice would be an inch in a 12-inch loaf of bread

Answer:

12 divided by 1/2 = 24

Step-by-step explanation:

Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent. A triangle with angles 55 degrees, 35 degrees, and 90 degrees. A triangle with angles 65 degrees, 65 degrees, and blank. A triangle with 3 angles of 60 degrees. All sides are congruent.

Answers

Answer:

The answer is A  triangle with 45 degrees, 45 degrees, and 90 degrees

Step-by-step explanation:

Add.
3x2 - 5x+1
2x2 +9X-6
+
A. 5x2 + 4x + 7
B. 5x2 - 4x + 5
C. 5x2 + 4x-5
D. 5x2 + 14x-5

Answers

Answer:

C

Step-by-step explanation:

3x2 - 5x+1 + 2x2 +9x-6

Combine like terms

5x2+4x-5 which is C

You are welcome and don't for get to click THANKS

The answer is c no cap

When Grace runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 2 seconds. What percentage of races will her finishing time be faster than 79 seconds, to the nearest tenth?

Answers

Answer:

0.07

Step-by-step explanation:

the median and mean
PLZ HELP

Answers

Step-by-step explanation:

Data Set A: 14, 21, 24, 28, 28, 35

Data Set B: 18, 19, 21, 25, 29,32

Median:

Data Set A = 26

24 + 28 = 52

52/2 = 26

Data Set B = 23

21 + 25 = 46

46/2 = 23

Mean:

Data Set A = 25

14 + 21 + 24 + 28 + 28 + 35 = 150

150/6 = 25

Data Set B = 24

18 + 19 + 21 + 25 + 29 + 32 = 144

144/6 = 24

What is the acceleration of a toy rocket that accelerates from 10.0 m/s to 30.0
m/s in 15.0 m?

Answers

Answer:

26.67m/s²

Step-by-step explanation:

From the question we are given

Final velocity = 30m/s = v

Initial velocity = 10m/s = u

We were not given time but we were given distance = 15m

Therefore we would be using the formula:

Acceleration = v² - u²/ 2s

Where S = distance

v = final velocity

u = initial velocity

Acceleration (a) = 30² - 10²/ 2 × 15

a = 900 - 100/ 30

a = 200/30

a = 26.666666667m/s²

a = 26.67m/s²

Find the magnitude of the vector from the origin to (-7,5) and write the vector as the sum of unit vectors.

Answers

Answer: The answer is C

[tex]m=\sqrt{(-7)^2 +(-5)^2}=\sqrt{74}[/tex]

The vector (-7,-5) as a sum of unit vectors is -7i-5j

Answer:

C on E2020

Have a Great Day ;)

Which statement best describes how to determine where f(x)=x^2-x+8 is an even function

Answers

Answer:ogros reconocer a negra denda como el me de una sumatoria que permite calcular ... Como vimos, entre más subdivisiones del intervalo tomemos, mejor será la ... que la aproximan y luego determinar a qué valor tiende el área cuando n ... n k=1 1 ( kYo 1 - — lí X +- o = + (Vé ejemplo 8. a-na-n X () 3 (véase e eje plo 8.)

Step-by-step explanation:

in a triangle, what is the 3rd angle measure if the other two angles are each 60

Answers

the answer is 60. i hope this helps if it does please mark brainliest
Answer: 60 degrees

Explanation: the two other measures add up to 120 degrees. The triangle sum property states that every triangle always adds up to 180 degrees. So, 180 - 120 = 60 degrees. Therefore, the third angle measures 60 degrees.

Which system of equations is graphed below? On a coordinate plane, a line goes through (0, 1) and (4, negative 2) and another goes through (0, negative 6) and (6, 0). x minus y = 6. 4 x + 3 y = 1. x minus y = 6. 3 x + 4 y = 4. x + y = 6. 4 x minus 3 y = 3. x + y = 6. 3 x minus 4 y = 4.

Answers

Answer:

The correct option is (B)

(B) x-y = 6 , 3x+4y = 4

Step-by-step explanation:

As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:

Find the values of x and y for (B);

x - y = 6 ⇒ (i)

3x + 4y = 4 ⇒ (ii)

Lets consider equation (i)

x - y = 6

x = 6 + y

Substitute in equation (ii)

3(6+y) + 4y = 4

18 + 3y + 4y = 4

7y = -14

y = -2

Substitute in equation (i)

x - (-2) = 6

x + 2 = 6

x = 6 - 2

x = 4

As solution of part C is also (4, -2), it represents the graph

You can also find the (x, y) for other options the similar way, which will show you they don't have the same value

Answer:

its  B

Step-by-step explanation:

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