the difference of two numbers is 13/24. if 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other, what are the 2 numbers?

Answers

Answer 1

Answer:

The two numbers are 11/8 and 5/6

Step-by-step explanation:

Let the unknown numbers be x and y

Given that the difference of two numbers is 13/24

x - y = 13/24

and  that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other

11/12 * 1/x = 5/9 * 1/y

11/12x = 5/9y

cross multiply

12x * 5 = 11* 9y

60x = 99y

x = 99y/60

= 33y/20

substitute into x - y = 13/24

33y/20 - y = 13/24

13y/20 = 13/24

24y = 20

y = 20/24

= 5/6

x = 33y/20

= 33 *5/20*6

= 11/8


Related Questions

line is defined by the equation 2 x + y = 4. Which shows the graph of this line?

Answers

Using the equation 2x + y = 4, we get the following graph.

Vani signed up for a streaming music service that costs $12 per month. The service
allows Vani to listen to unlimited music, but if she wants to download
offline listening, the service charges $1.25 per song. How much total money would
Vani have to pay in a month in which she downloaded 30 songs? How much would
she have to pay if she downloaded s songs?

Answers

Answer:

49.5 dollars first part and y=12+1.25x second part

Step-by-step explanation:

On a coordinate plane, point B is at (1, negative 1). Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)

Answers

Answer:

(3,-3)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)

Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)

Hence the required coordinate will be (3,-3)

Answer:

b 3 -3

Step-by-step explanation:

have a good day

If real estate agent earns a 3% commission and earned \$4,350 on the closing of a home What was the price of the home?

Answers

Answer:

Final price of house = $145,000 (Approx.)

Step-by-step explanation:

Given:

Rate of commission = 3%

Amount of commission = $4,350

Find:

Final price of house

Computation:

Final price of house = Amount of commission / Rate of commission

Final price of house = 4,350 / 3%

Final price of house = 4,350 / 0.03

Final price of house = 145,000

Final price of house = $145,000 (Approx.)

Please answer this!!!

Answers

Answer:

so a = -1  b = -1/4  and c = 7

Step-by-step explanation:

-x^2 - 1/4x +7

This is in the form

ax^2 + bx +c

so a = -1  b = -1/4  and c = 7

Answer:

[tex]a=-1[/tex]

[tex]b=-\frac{1}{4}[/tex]

[tex]c=7[/tex]

Step-by-step explanation:

Hope this helps:)

Graph y= -x2 - 1. Identify the vertex of the graph. Tell whether it is a minimum or maximum.

A. (–1, 0); minimum

B. (0, –1); maximum

C. (0, –1); minimum

D. (–1, 0); maximum

Answers

Answer:

B. (0, –1); maximum

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 0 , − 1 )

Focus:  

( 0 , − 5 /4 )

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

Use the formula  

x

=

b

2

a

to find the maximum and minimum.

( 0 , − 1 )

Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .

Answers

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

I need help with this

Answers

Answer:

Step-by-step explanation:

the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.

So ,here a=-1 ,b=-6 and c=-9

b^2=(-6)^2

=36

4ac=4*(-1)*(-9)

=4*9

=36

b^2-4ac=36-36

=0

number of solutions =1

PLZ HELP WILL GIVE BRAINLIEST
A company wants to provide better customer service to all of its 2000 clients. The company needs to create a sample of clients to survey.

How should the company select its sample of clients? Select two that apply.

The company should choose the first 50 clients that volunteer to take the survey.
The company should have a computer randomly generate a list of 200 clients to survey.
The company should survey every 5th client that makes an appointment.
Every employee in the company should recommend 1 client to survey.

Answers

Answer:

the company should survey every 5th client that makes an appointment.

the company should have a computer randomly generate a list of 200 clients to survey.

Given the following terms of a geometric sequence: a1=7, a11=7340032 ; Determine r and a8

Answers

Answer:

r = 4

a8 = 114,688

Step-by-step explanation:

a1=7

a11 = 7340032

a11 = a1*r^10

7340032 = 7 * r^10

7340032 = 7r^10

r^10 = 7340032/7

r^10 = 1,048,576

Find the 10th root of both sides

10√r^10 = 10√1,048,576

r = 4

a8 = a1 * r^7

= 7 * 4^7

= 7 * 16,384

= 114,688

a8 = 114,688

what is the average rate of change for the quadratic function for the interval from x = 3 to = 5?

Answers

Answer:

8x.

Step-by-step explanation:

coordinates: (3,10) (5,26)

use slope formula (y2 - y1/x2-x1)

26-10/5-3

16/2

= 8

If the terminal point of ø is (1,0), what is tan ø?

Answers

Given:

The terminal point of [tex]\phi[/tex] is (1,0).

To find:

The value of [tex]\tan\phi[/tex].

Solution:

If the terminal point of [tex]\theta [/tex] is (x,y), then

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that the terminal point of [tex]\phi[/tex] is (1,0).

Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get

[tex]\tan \phi=\dfrac{0}{1}[/tex]

[tex]\tan \phi=0[/tex]

Therefore, the value of [tex]\tan \phi[/tex] is 0.

What two numbers sum up to 11 and multiply to 18

Answers

Answer:

9 and 2

Step-by-step explanation:

9+2=11

9×2=18

Answer:

9 and 2

Step-by-step explanation:

( 17 points)Help!!!
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?

PlzzPlease help me bunnies <3
No monkey business plz. Or I will report

Answers

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

if im writing 200 post cards , and stamps are 0.36 cents a piece, how much money would 200 stamps be?

Answers

Answer:

72

Step-by-step explanation:

1 stamp costs 0.36 cents

Then, 200 post cards will cost 0.36 × 200 = 72

Answer:

$72 dollars

Step-by-step explanation:

200 x 0.36 = 72

what is an angle formed by

Answers

Answer:

An angles is formed by 2 rays sharing the same endpoint which is called the vertex.

Answer:

an angle is formed by two rays that intersect or share the same endpoint.

can anyone help with this? find st and rt​

Answers

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

help help help help help help help

Answers

Answer:

D I believe

Step-by-step explanation:

I may not be correct, but i hope this helps!

y/7 + 2.1 = 9.1
solve for y.

Answers

Answer:

-79

Step-by-step explanation:

-9.1-2.1=-11.2

--79÷7=-11.2

Answer:

y = -78.4

Step-by-step explanation:

y/7+2.1-2.1=-9.1-2.1

y/7=-11.2

y/7*7=-11.2*7

y= -78.4

The diagram shows the shape of a plot of land that Maria will use for her garden.

Quadrilateral F G H J is shown. Sides G H and F J are parallel. The length of F G is 30 feet, the length of G H is 24 feet, and the length of H J is 24 feet. Angles H and J are right angles.

She needs to know the length of each side so she can buy fencing. What is the length of line segment FJ?

18 feet
30 feet
36 feet

Answers

Answer:

42 feet

Step-by-step explanation:

edge

Answer:

The answer is D

Step-by-step explanation:

42 feet

2. The direct distance between city A and city B is 200 miles. The direct distance
between city B and city C is 300 miles. Which could be the direct distance between city
C and city A?
1) 50 miles
2) 350 miles
3) 550 miles
4) 650 miles

Answers

Answer:

2

Step-by-step explanation:

In right triangle ABC, sin M = cos 61. If 0

Answers

Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]

Given:

In a right triangle ABC,

[tex]\sin M=\cos 61^\circ[/tex]

To find:

The value of M.

Solution:

We have,

[tex]\sin M=\cos 61^\circ[/tex]

It can be rewritten as:

[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]

[tex]\sin M=\sin 29^\circ[/tex]                   [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]

On comparing both sides, we get

[tex]M=29^\circ[/tex]

Therefore, the value of M is 29 degrees.

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:

Answers

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

1: Set up the proportion:

[tex]\frac{9}{6} = \frac{x}{16}[/tex]

2: Use cross product:

[tex]9(16)=6x[/tex]

3: Simplify:

[tex]144 = 6x[/tex]

4: Divide:

[tex]144/6 = 6x/6[/tex]

[tex]24 = x[/tex]

[tex]x =24[/tex]

Answer: 4 cm

Step-by-step explanation:

Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions, or simplified radical expressions.

Answers

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

Type the correct answer in the box. Use numerals instead of words. what value of x satisfies this equation? log(2x)=2

Answers

Answer:

Espero te sirva

Step-by-step explanation:

Suerte *******

A test has several multiple choice questions, each with 5 choices. If you guess on 4 questions, what is the probability that you get all 4 correct

Answers

Answer:

4/20 or 1/5

Step-by-step explanation:

number of guesses/total possible outcomes (formula for this question since it is an independent event)

total possible outcomes: 4(# of questions) x 5(# of possible answers in 1 question)

total possible outcomes: 20

number of guesses: 4 x 1(there are 4 questions and you guess 1 answer for each question)

number of guesses: 4

number of guesses/total possible outcomes = 4/20 or 1/5

(I might be wrong lol, I haven't learned it in a long time)

A box contains 6 black marbles and 4 white marbles. What is the probability of selecting a black marble at random from the box?

Answers

Answer:

3/5

Step-by-step explanation:

6 black marbles and 4 white marbles.= 10 marbles

P( black marble) = number of black marbles / total marbles

                            =6/10 = 3/5

Answer:

6/4 or 1 1/2

Step-by-step explanation:

because there is 6 black marbles and 4 white marbles

Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?

Answers

Answer:

.........................

Which statement describes why the system has two solutions?

Answers

The graph intersects on the x axis

How many families in Oats Township have two or more cars?
100
4
1
2
400
200

Answers

Answer:

200

Step-by-step explanation:

Good luck <3

Answer:

200

Step-by-step explanation:

hope it helps

Other Questions
Read the following sentences.After playing outside, the children stand in rows. They have to wait for permission to enter the building.What is the meaning of row in this sentence?O A circleO AlineO A packO A Square did I choose the correct graph for the leading coefficient of -1/8? Which equation represents natural transmutation?A)238920 +23490Th + 42He490ThB)UFO + 6 Na 6 NaF + UC) 2713A1 + 42He3015P+ lonD) H2O + H+ + OH- briefly discourse glycolysis my experience in a city Will mark brainliest What are the semi structural formula of C6h14 Isomers? Labor unions were organizations that helped1. workers bargain with employers for better working conditions2. management increase profits by suggesting innovative production methods3. farmers develop steam-driven machines to plant and harvest their crops4. merchants sell new goods that were produced in the factories why selecting the right tools is very important when you cleared the soiled dishes in the guest's room? Term Definition Gauguin A) artists concentrate on representing movement and light Monet B) Symbolist painter Redon C) Romantic painter Fuseli D) art that engaged the viewer physically and emotionally Rococo E) Impressionism Baroque F) Impressionist painter Mannerism G) Post Impressionism Impressionism H) colorful and playful art that focused on trivial subjects Post I) purposeful distortion as a reaction to the Renaissance Neoclassicism J) the recreation of Antiquity Question 10) My friends and I are students. - Mis amigos y yo________estudiantes. *O somos O fuimos O ramos Which statement describes a feedback mechanism involving the human pancreas?1The production of estrogen stimulates the formation of gametes for sexual reproduction.2The level of oxygen in the blood is related to heart rate3The level of sugar in the blood is affected by the amount of insulin in the bloodThe production of urine allows for excretion of cell waste define education please How does the quote She slept in her leather pilots jacket for three nights so that it would look more worn in, and she would look less like an amateur (Paragraph 5) contribute to readers understanding of Amelia Earhart, by Barrett Smith? Evaluate the equation y=2x2 - 2x + 7 for x=-3 Solve 8x + c = k for x. Can you help me please Remuen de la biografa de Dexter Yager PLEASE HELP IM LITERALLY BEGGING YOUAmanda pays $115.00 for shoesthat are 20% off at Everything Shoes.At Best Footwear, the same shoesare 15% off, which makes them cost$7.00 less than their pre-sale price atEverything Shoes.What was the original cost for theshoes at Best Footwear? a 230 kg roller coaster reaches the top of the steepest hill with a speed of 6.2 km/h. It then descends the hill, which is at an angle of 45 and is 51.0 m long/ What will its kinetic energy be wehn it reaches the bottom