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

What value is a discontinuity of x squared plus 2 x plus 3, all over x squared minus x minus 12?

x = −1
x = −2
x = −3
x = −4

Answers

The answer that you’re looking for to this question is x = -4

Answer:

x=-2

hope this helped

Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?
A. 0.003
B. 0.3
C. 0.0003
D. 0.03

Answers

Answer:

A. 0.003

Step-by-step explanation:

When using decimals to represent a percentage it goes as follows:

100% = 1

75% = 0.75

50% = 0.5

25% = 0.25

1% = 0.01

And in the case of this problem: 0.3% = 0.003

A. 0.003

To go from a percentage to a decimal, you would remove the percent sign and move the decimal two places to the left.

If a book is 33 hour and 45 min long , how many days would it take you to read it if you read 3 hours a day ?

Answers

Answer:

11

Step-by-step explanation:

33.45 ÷ 3 = 11.15 but round it

(im not 100% sure but I hope this helps)

Mr. Martin currently makes 25,000 per year and gets a 5% raise on
his salary each year.
Which equation models the growth of his salary?

Answers

Answer:

My milkshake brings all the boys to the yard

And they're like, it's better than yours

I’m stuck on this problem help

Answers

An easy way to think of this when you solve this, is to remember that all the angles in a triangle add up to 180 degrees. Therefore, the equation would be
(3x + 10) + (2x + 10) + 45 = 180. By the way, since the angles D and B are across from each other they are congruent. Now, let’s start solving it:
(3x + 10) + (2x + 10) + 45 = 180
(5x + 20) + 45 = 180
5x + 65 = 180
5x = 115
x = 23

A line perpendicular to y= 1/4x + 3 passes through the point (0, 6). Which other point lies on the line? Options: A. (4, -2) B. (3, -6) C. (0, -6) D. (-2, 2)

Answers

Answer:

B. (3, -6)

Step-by-step explanation:

Given line

y= 1/4x + 3

given line is in form of y = mx + c

where m is slope of line and c is y intercept

thus, in line  y= 1/4x + 3  m is 1/4 is slope

we know product of slope of two perpendicular line is -1

m1 * m2 = -1

let the line perpendicular to  y= 1/4x + 3 be

y = mx + c

thus

m * 1/4 = -1

m = -4

Thus, in y = mx + c , m is -4

updated equation until now by putting value of m as -4

y = -4x + c

this, line passes through point (0,6)

putting x as 0 and y as 6 in y = -4x + c

we have

6 = -4*0 + c

=> c = 6

Thus, equation of perpendicular line is

y = -4x + 6

_______________________________________________

we have to find which point from the option lies on y = -4x + 6

lets plug in value of x   from given points and see if value of y calculated  is as given in option . if the value is different then point does not lie on perpendicular line

(4, -2)

y = -4*4 + 6

y = -16 + 6 = -10

-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on

y = -4x + 6

(3,-6)

y = -4*3 + 6

y = -12 + 6 = -6

-6 is  equal to -6 as given in option, thus point (3,-6 ) does  lie on

 y = -4x + 6

(0, -6)

y = -4*0 + 6

y = 0 + 6 = 6

6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on

y = -4x + 6

(-2,2)

y = -4*-2 + 6

y = 8 + 6 = 14

14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on

y = -4x + 6

Thus, option  B. (3, -6) is the correct choice.

someone please help me !!

Answers

Answer:

3<x<52

Step-by-step explanation:

0<2x-6<52

6<2x<52

3<x<52

Answer:

3 x 9

Step-by-step explanation:

3<x<9 . Just did this. Acellus is lame but better than normal school. Good luck with the rest im only on lesson 84

What is the surface area of a cylinder with base redius 2 and height 9

Answers

Answer:

[tex]138.23units^2[/tex]

Step-by-step explanation:

[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]

Answer:

44pi

Step-by-step explanation:

Look at the attachment

Which expression is equivalent to (x^14 y^1/6)^1/2
A.x^1/2y^4
B. X^1/8y8
C.x^1/4y^8
D.x^1/4y^4
Please help its timed

Answers

Answer:

x^1/8 y^8

Step-by-step explanation:

To obtain the answer to the question given above, let us simplify the expression (x^1/4 y^16)^1/2.

This is illustrated below:

(x^1/4 y^16)^1/2

(x^1/4)^1/2 • (y^16)^1/2

x^1/4×1/2 • y^16×1/2

x^1/8 y^8

Therefore, x^1/8 y^8 is equivalent to (x^1/4 y^16)^1/2.

Tammy needs to make a total of 60 deliveries this week. sao far she has completed 42 of them. what percentage of her total deliveries has Tammy completed?​

Answers

Answer:

70%

Step-by-step explanation:

42/60= 0.7 = 7/10 = 70%

(-4ab - 5a + 3) - (-7ab + 9)

Answers

________________________________

Hey!!!

solution,

(-4ab - 5a +3)-(-7ab+9)

=-4ab -5a+3 + 7ab - 9

= -4ab+7ab-5a+3-9

= 3ab-5a-6

Hope it helps...

Good luck on your assignment

______________________________

Hannah invests £350 in an account that pays 3.5% compound interest per annum. Work out how much money Hannah will have in her account in 12 years.

Answers

Hannah will have £528.87 because if you use the equation A=P(1+r/n)^nt you will get that

write the sum using sigma notation 3^2+4^2+5^2+...+10^2

Answers

     [tex]\sum\limits_{i=3}^{10}\big i^2[/tex]

or:

     [tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]

or:

    x₁=3, x₂=4, x₃=5, .... x₈=10

    [tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]

The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]

How to express the sum as a sigma notation?

The sum is given as;

3^2+4^2+5^2+...+10^2

The above means that the sum of the squares of integers from 3 to 10

Using the above statement, the sigma notation is:

[tex]\sum\limits^{10}_{n = 3} n^2[/tex]

Where n represents the current integer

Read more about sigma notation at:

https://brainly.com/question/14322177

Can someone help me ???????

Answers

Answer:

Step-by-step explanation:

15/3= 5

Orrrr

15/-3=-5

Identify the independent and dependent quantities in each problem solution then write a function to represent a problem situation :
Nathan is riding the scooter at a rate of 6 miles per hour​

Answers

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

One angle is 60 degrees, the other
is 60 degrees, What is my missing
angle? What is
my
first and
last name?

Answers

hi this is my first answer

a straight angle has 180°,

here your given angle is 60+60=120°

so your missing angle is 180-120=60°

Step-by-step explanation:

The missing angle is 60° (180 - 60 - 60=60)

Its name: equilateral triangle

ABC and ACD are both right-angled triangles.
D
a)
Explain why the length of AC
is 13 cm.
5 cm
C
5 cm
b)
Calculate the length of AD.
Give your answer correct
to 1 decimal place.
B
A
12 cm

Answers

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

please help i’ll give brainliest !

Answers

Answer:

1: (ab)^3

2: 3m^2n^5

3: 15y^3x^7

4: 8s^5r^7

5: 6q^3p^5

Step-by-step explanation:

sorry but fot the explanation, it would take me 10 years to write but you can trust me with these answers

1.) (ab)^3
2.) 3m^2 n^5
3.)15x^7 y^3
4.) 8s^5 r^7
5.) 6p^5 q^3



Explanation:

For all the questions multiply the base numbers, if there are any. And add the exponent numbers. For example if the question is, (x^2)(x^4) add 2 and 4 to get 6. If there is more than one letter only add the like exponents with the same letter. For example, (x^2 y^2)(x^4 y^3) add 2+4=6 and 2+3=5, which means the final answer would be x^6 y^5

Omg you guys were so helpful on my last question! But I got another

What is 27 divided by 655
I have to answer my question in boxes.
Please hurry before my lesson goes off!!

Answers

Answer: 0.04122137404

If you want me to explain more please let me know :)

The triangles below are similar because of the:
4
Z
х
12
6
2
Y
A
B
9
0000
AA similarity postulate.
SSS similarity theorem.
SAS similarity theorem.
The triangles are not similar.

Answers

Insufficient evidence. Would you please send a screenshot or a picture of the paper?

Please answer !!???????????!!! PLEASE 15 points!!!!!!!!!!!

Answers

Answer:

Question 9: slope= 4

Question 10: 10x+5y = -25

Step-by-step explanation:

For question 9, since it is a linear function, you can think of it as y=mx+b. "m" is the slope value. In your instance, m=4 so the slope is 4. For question 10, you need to reorder it into y=mx+b by moving the -25 to the left side and moving the 5y to the right side. After you do this, you should get 10x+25=-5y. Then divide both sides by -5 to get -2x-5=y. Since m is a negative value, the function has a negative slope. Since the "b" value is the y-intercept and this case it's -5, the y-intercept of the equation is -5.

The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:

Answers

Answer:

Step-by-step explanation:

Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

What is Cramer's rule?

Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.

Given that,  

[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]

solution by Cramer's rule

[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A = -320[/tex]

[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A_1 = 7210[/tex]

[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]

[tex]A_2=-10135[/tex]

[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]

[tex]A_3=-2770[/tex]

[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]

[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]

[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]

[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]

Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

Learn more about Cramer's rule

https://brainly.com/question/22247684

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

Answers

Answer:

true

Step-by-step explanation:

y = –x + –5

Substitute the point into the equation

-8 = -3 + -5

-8 = -8

This is true so the point is a solution to the equation

for an angle 0 with the point (-5,-12) on its terminating side, what is the value of cosine?
A. -5
B. -12
C. -5/13
D. -12/13

Answers

Answer:

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13, Hope that helps!.

HURRY PLSSS
A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (4x − 2) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 8 inches.
ANSWER CHOICES
4x ^2 − 2x; Area = 240 in^2
4x ^2 − 2; Area = 240 in^2
4x ^2 − 2; Area = 254 in^2
4x ^2 − 2x; Area = 30 in.

Answers

Answer:

C)

Step-by-step explanation:

the answer is c because you multiply 4 and 2 and get 8 and multiply 8 by 8 and get 64 then you use 4 again and multiply 64 by 4 so you get 256 and round that 254

Answer:

Step-by-step explanation:

Need help with a question

Answers

Answer: -4 meters

Step-by-step explanation:

8 - 4 = 4; If it started at 4 meters depth and then went down to 8 meters depth, then it submerged 4 meters.

Answer:

-4

Explanation:

To find the change in depth simply subtract how many meters it was below the surface by how many meters it was at the starting point.

8 - 4

-4

Therefore, the change in depth was -4 meters.

If f(x) = (x^2-36)/(x+6) is continuous at x = -6, find f(-6) a)-12 b)12 c)6 d)-6

Answers

Answer:

A

Step-by-step explanation:

[tex]f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer:

=-12

Step-by-step explanation:

f(x) = (x^2-36)/(x+6)

Factor the numerator.  The numerator is the difference of squares  

(a^2 -b^2) = (a-b)(a+b)

f(x) = (x-6)(x+6)/(x+6)

Cancel the like terms

f(x) = x-6

f(-6) = -6-6

       = -12

(02.07 LC)
Which relationship is always correct for the angles x, y, and z of triangle ABC?
A
x
C
Ox+ z = y
Oy + z = x
O x + y + z = 180 degrees
Ox + y + z = 90 degrees

Answers

Answer:

Ox+y+z=180

Step-by-step explanation:

The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

We know that a triangle has three angles.

Let x, y and z be the three angles of the given triangle.

We know that, the interior angles of a triangle sum up to 180°.

The given three angles are x, y and z.

So, x + y + z = 180°

Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.

To learn more about Triangles, click on the link given :

https://brainly.com/question/19976619

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What is the leading coefficient and constant of this equation?
(8r^3 + 2r^2 + 1) - (7 - 7r^3 +3r^2)

Answers

Answer:

The leading coefficient is 15

The constant is -6

Step-by-step explanation:

So first open up all the parentheses:

[tex]8r^3+2r^2+1-7+7r^3-3r^2 = 15r^3-r^2-6[/tex]

The leading coefficient is 15

The constant is -6

The figure shown represents a structural portion of the Eiffel Tower. Can the triangles be proven congruent? answers: A) Yes, ΔMNO ≅ ΔPON by HL. B) Yes, ΔMNO ≅ ΔPON by SAS. C) Yes, ΔNOM ≅ ΔPON by AAS. D) Yes, ΔONM ≅ ΔPON by SSS.

Answers

Answer:

B) Yes, ΔMNO ≅ ΔPON by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, side MO is congruent to side NP and side NO is shared by both triangles. The included angle in ΔMNO is ∠O and in ΔPON is ∠N, and they are congruent.

Answer:

Step-by-step explanation:

B) Yes, ΔMNO ≅ ΔPON by SAS

Just did this test.

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