One number is twice another number. The sum of their reciprocals is 6. What are the numbers?

Answers

Answer 1

Answer:

8 and 2

Step-by-step explanation:

Answer 2

Answer:

1/4 and 1/2

Step-by-step explanation:

One number is twice another number.

x and 2x

The sum of their reciprocals is 6

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

Use common denominator of 2x

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

[tex]\frac{3}{2x}[/tex] = 6

multiply botn sides by 2x

3 = 12x

Divide both sides by 12

1/4 = x

x = 1/4

2x = 1/2

The numbers are

1/4 and 1/2


Related Questions

brian says that 8n+2=82 when n=1 explain why he is incorrect

Answers

The answer is 83 because n=1 so 80+2=82+1=83

The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the garden per square foot. Garden 3 feet 18 feet Fountain Which is closest to the number of flowers needed to plant in the garden?
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers ​

Answers

Answer:  The answer is 284.

Step-by-step explanation:

The area of the garden is an annulus whose,  

Outer diameter = 18 ft  

Inner diameter = 18 ft - 2*3ft = 12 ft

Therefore,  

Outer radius = 18/2 = 9 ft  

Inner radius = 12/2 = 6 ft  

 Area of garden = Area of annulus  

 Area of garden = π*(9 ft)2 - π * (6 ft)2

 Area of garden = 142  

 Given:  

2 flowers are planted per square foot.  

 Therefore for 142 ft2,  

Number of flowers required = 2*142 = 284  

 The answer is 284.

100-3x6+5-4= 63? help me its GEMDAS

Answers

Answer:

it's 86

Step-by-step explanation:

100-3x6+5-4

100-15+5-4

85+5-4

90-4

86

There were 3 full pizzas sitting on a counter. If Joe ate ¼ of a pie, Rhonda ate ⅜ of a pie, and Chris ate 4 slices, how many slices of pizza were left? (Assume each pie is cut into 8 slices.)

Answers

Answer:

15 slices

Step-by-step explanation:

Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.

2+3+4= 9.

there are 3 pizzas divided into 8 slices per pizza.

3 x 8 = 24 ; 24 slices total

subtract 9 (that’s what was consumed) from 24.

24-9 = 15

I hope it helps.

Write an equation for the line in slope intercept form

Answers

Answer:

y=4x+2

Step-by-step explanation:

Like and give 5 star rating

f(x)=3x+5 and g(x)=2x+1

value of x​

Answers

You can treat x and 2x+1 just as though they are real numbers.

So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2

In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.

Find the equation of the line

Answers

Answer:

6,0 10,4

Step-by-step explanation:

find the y Axis and then the x Axis

Janelle came to bat 464 times in 131 games. At this rate, how many times should she expect to have at bat in a full season of 162 games?

Answers

The rate at which she bats is an illustration of ratio and proportions

She's expected to bat 574 times in 162 games

In 131 games, she bat 464 times

Represent this as a ratio

[tex]\mathbf{Ratio = 131 : 464}[/tex]

Let the number of times she bat in 162 games be represented with x.

So, the ratio is represented as:

[tex]\mathbf{Ratio = 162 : x}[/tex]

Equate both ratios

[tex]\mathbf{162 : x = 131 : 464}[/tex]

Express as fractions

[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]

Multiply both sides by 162

[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]

Multiply

[tex]\mathbf{x= \frac{75168}{131 } }[/tex]

Divide

[tex]\mathbf{x= 574}[/tex]

Hence, she's expected to bat 574 times in 162 games

Read more about ratios and proportions at:

https://brainly.com/question/7810782

I need help plz help me I am not good at math HELP

Answers

Answer:

600 boys

800 girls

Step-by-step explanation:

Ratio is 3:4

let total number of boys be x

3/4=x/1400-x

4x=3(1400-x)

4x=4200-3x

7x=4200

x=600

600 boys

1400-600 = 800 girls

it would be 800 girls

Find the value of the question mark

Answers

The value of the question mark I 8.
Step by step solution:

Values:

Brown frosted donut: 3

Orange frosted donut: 1/3

White frosted donut: 1

Hope this helps!! :)

helpppppppppppppppppppppppppppp

Answers

What do you need help with? Are you in danger?

Solve the following quadratic function by utilizing the square root method. y = x2 - 64​

Answers

Answer:

[tex]x=\pm\sqrt{y+64}[/tex]

Step-by-step explanation:

All you need to do is isolate the x.

First, add 64 to both sides:

[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]

Then, take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]

Actually, that is:

[tex]x=\pm\sqrt{y+64}[/tex]

Here's the reason for that. An example would be:

[tex]x^2=4[/tex]

Here, you'd take the square root of both sides to solve for x.

[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]

Right? But X could also be a -2, because a negative times a negative is a positive.

[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]

Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]

[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]

Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.

Answers

If you pick 3, you end up with 1 after getting to 10 then 5 then 16 then 8 then 4 then 2 then 1.
If you pick 14, you get 7 then 22 then 11 then 34 then 17 then 52 then 26 then 13 then 40 then 20 then 10 then 5 then 16 then 8 then 4 then 2 then 1.
From my observations and testing I am quite sure that you are correct

Need help plotting x and y intercept heres a better explanation of what I need to do

Answers

Do the x first it gives u the number then plot y

what is the zero if the function ?


A -5


b. 2/5


c 2


d 5/2

Answers

The answer to that one is C

someone please help me

Answers

Answer:

FOURTH ONE DOWN

Step-by-step explanation:

Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).

** also next time please take a better picture i had to squint my eyes so hard **

Yvonne sells Nine West shoes. She earns 4% commission on all her sales. Yesterday she sold
$1500 worth of shoes. How much commission did she earn?
(2 marks)

Answers

Answer:

$60

Step-by-step explanation:

4/100= 0.04

$1500 x 0.04 = 60


Geometry work pls help ASAP

Answers

Answer:

3321

Step-by-step explanation:

Given the complementary angle of y is 43º. Find the supplementary angle of y​

Answers

Step-by-step explanation:

complementary = adds up to 90 degrees.

supplementary = adds up to 180 degrees.

the complementary angle of y is 43 degrees.

so, y = 90 - 43 = 47 degrees.

the supplementary angle of y = 47 is

180 - 47 = 133 degrees

Hello!

Given the complementary angle of y is 43º.

90 - 43 => 47°

Find the supplementary angle of y​

180-43 => 137°

Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square root 18, 22.7 repeating 7

Answers

22.7 with repeated 7

Write an equation in
Slope - int form with the
given information
m=2, (3, 4)

Answers

Answer:

y=2x-2

Step-by-step explanation:

apply point

4=2(3)+n

4=6+n

n=-2

y=2x-2

Forrest Lumber uses the function

S(t) = -75t + 675

to determine the salvage value, S(t), in dollars, of a table saw t years after its purchase. How long will it take the saw to depreciate completely? A. 8 years B.11 years c. 9 years D.10 years please help

Answers

Answer:

C. 9 years

Step-by-step explanation:

For the saw to depreciate completely, the salvage value of the saw would be 0.

Set S(t) = 0 and solve for t

0 = -75t + 675

75t = 675

t = 675/75 = 9 years

can you help me find the slope of the line?

Answers

Answer:

0

Step-by-step explanation:

slope formula of a line is as follows:

m = Y2 - Y1/ X2 -X1

and so we'll now plot the given points.

note - the 1st values inside the brackets are that of the x values and the ones that come next are the y values of the given line.

now granted, we'll calculate the change of y and then divide it by the change of x

which is simply -5-(-5)/5-(-2) = 0.

If angle pqr is isosceles, what is the measure of angle Q?

Answers

The think answer is 68

The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°.

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given isosceles triangle.

The angles opposite to equal sides in the isosceles triangle will be the same.

Thus, m∠P -= m∠Q

5x + 8 = 9x - 40

9x - 5x = 8 + 40

4x = 48

x = 12°

Thus, m∠Q = 9(12) - 40 = 68°.

Hence "The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°".

For more information about triangles,

https://brainly.com/question/2773823

#SPJ2

Anyone help for brainlist:)
Determine the graph of the function -->f(x)=2^x−1

Answers

Answer:

it is D

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y = − 1 .  Horizontal Asymptote:  y = − 1

I HAVE 4 MINS TILL THIS IS DUE PLEASE FOR THE LOVE OF GOD HELP ME

Answers

Answer:

Answer is graph A

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

B. Complete the missing factors of the following polynomials.



5. 6a2 + 11b – 35b2 = ( 3a ______ )( 2a ________ )



6. 18x2 – 39x + 20 = ( 3x – 4 ) ( ___________ )

CAN SOMEONE HELP ME, PLEASE.​

Answers

5) i dont know
6) (6x-5)(3x-4)

3.find the measure of each missing angle

Answers

Answer:

Angle 1= 69

Angle 2= 37

Angle 3= 106

Angle 4= 21

Step-by-step explanation:

(Angle 2) The box in the corner is a 90-degree angle. So, 90-53=37

(Angle 1) Now that you have angle 2, add 37+74. You get 111. Subtract 180 and 111.

The answer for angle one is 69.

(Angle 3) Since it is a line, the two angles combined are 180 degrees. 180-74= 106.

(Angle 4) Now that you have angle 3, add 106 and 53. You will get 159. 180-159= 21

Kaitlin,Tony y David tienen un total de 77 en sus bolsillos. Tony tiene $7 menos que Kaitlin. David tiene 2 veces lo que Kaitlin tine¿cuanto dinero tiene cada uno?

Answers

Answer: Tony has 70

kaitlin has 77 david has 79

Step-by-step explanation:

i hope this helped im not sure if this is right i tried to do the math but pls leave a thanks if helped

Need help answering this question for 30 points. ! :)

Answers

Answer:

g(- 1) = -2

Step-by-step explanation:

Given the rational function, [tex]g(x) = - \frac{21 + x}{10}[/tex]:

In order to evaluate and find the value of g(-1), simply substitute the input value into the given function.

[tex]g(x) = - \frac{21 + x}{10}[/tex]

[tex]g(-1) = - \frac{21 - 1}{10}[/tex]

[tex]g(-1) = - \frac{20}{10}[/tex]

g(-1) = -2

Therefore, the output value when g(- 1) is: g(- 1) = -2.

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