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

2 bags of cement cost 3500 how many bags can one buy with 17500​

Answers

Answer:

10

Step-by-step explanation:

2 → $3500

? → $17500

? = 17500 x 2 / 3500 = 3500/3500 = 10

OR

3500 → 2

3500/2 = 1750

17500/1750 = 10

Therefore, whatever method you use, you will get 10 as an answer.

3500 / 2 = 1750
17500 / 1750 = 10
10 bags

I need help pls help me

Answers

Answer:

$1,270

Step-by-step explanation:

let x be the total amount of ice cream sold without tax

x + (x*0.0635)=21270

1.0635x=21270

x=20,000

so the amount he needs to send to state is

21270-20000

1,270

Total cost of icecream without cost be x

[tex]\\ \sf\longmapsto x+0.0635x=21270[/tex]

[tex]\\ \sf\longmapsto 1.0635x=21270[/tex]

[tex]\\ \sf\longmapsto x=21270/1.0635=20000[/tex]

Amount to be paid

[tex]\\ \sf\longmapsto 21270-20000=1270[/tex]

Which of the following is the equation of a line that is perpendicular to the graph y=2/5x-1

Answers

Answer:

-5/2 is the answer

Step-by-step explanation:

if n < 0
√(n^2) = ???
thank youuuuu

Answers

Answer:

-n

Step-by-step explanation:

The symbol √ means the principal square root.

The principal square root is always non-negative.

For example, even though the number 25 has two square roots, -5 and 5, since both (-5)² and (5)² equal 25, when you express the square root using the square root symbol, then √25 = 5, and not -5, since √25 means the principal square root of 25, and as a principal square root, it must be a non-negative number.

If n < 0, then you are dealing with negative numbers.

Once you square n to get n², n² is a positive number.

Then the square root of n², expressed with the square root symbol as √(n²) must be positive, so it equals -n.

Example:

Let n = -8.

Then n² = (-8)² = 64.

√(64) = 8

Compare 8 to -8. 8 is -(-8), just like we get -n.

Answer: -n

please help im failing

Answers

Statement

∠1 = ∠2

Reason(1): l║m, Corresponding angles are congruent

Reason(2): Corresponding angles are congruent (Postulate)

Hope this can help

We have to prove how j||k?

As <1=<2 Theya are opposite interior angles .<1 and <4 are corresponding angles so they are equal .

Hence

J||K Proved

What are the domain and range of f(x) = (one-sixth) Superscript x + 2?

domain: Left-brace x vertical-line x greater-than negative one-sixth right-brace; range: {y | y > 0}
domain: Left-brace x vertical-line x greater-than one-sixth right-brace; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > –2}

Answers

The domain and range of the function is domain: {x | x is a real number}; range: {y | y > 2}

Given the exponential function expressed as;

[tex]f(x)=(\frac{1}{6})^x + 2[/tex]

The domain of the function will be the input value "x" for which it exists. For the function given, it exists for any value of "x".

Hence the domain of the function exists on all real numbers. Hence the domain in set notation is domain: {x | x is a real number}

The range of the function will be the output value "f(x)" for which it exists. For the function given, it exists for any value of f(x) greater than 2.

Hence the range of the function exists on any value of f(x) greater than 2. Hence the range in set notation is domain: {y | y >2}

Learn more here: https://brainly.com/question/24041834

Answer:

The answer is C on edge

Step-by-step explanation:

Could a circle have both a diameter of 7.2 inches and a circumference of 28 inches?

Answers

Answer:

no if the diameter was 7.2 inches the circumstance would be 22.62 :)

8.
Use vertex form to write the equation of the parabola.
A. y= 3(x - 2)^2 - 2
B. y= (x + 2)^2 + 2
C. y= 3(x + 2)^2 + 2
D. y= 3(x - 2)^2 + 2

Answers

Answer:

C. y= 3(x + 2)^2 + 2

Step-by-step explanation:

A. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , − 2 )

B. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

C. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

D. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , 2 )

PLEASE HELP ME FOR 25 POINTS NO LINKS!

Answers

Answer:

The answer is C. Yes, Abc= Adc

Answer:

Yes, ABC is congruent to CDA by SSS

Your answer is correct; and here's why:

side AB corresponds to side CD.

and side BC corresponds to DA

So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.

Step-by-step explanation:

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

It takes Sam half an hour to design a tower on
paper and it took him 2 and 1/6 hours to build
his lego structure. How many hours long will it
take him to build and design three towers?

Answers

Answer:

0.5+2 1/6 * 3=1.5+6 1/2 =8h

The difference of 7 and the square of a number

Answers

Answer:

7 - [tex]x^{2}[/tex]

Step-by-step explanation:

This is the answer because:

1. "Difference" means subtraction

2. The statement basically is saying, what is 7 subtracted by the square of x

3. That simplifies to 7-x^2

Hope this helps!

Hi there! (:

The difference of means we subtract:

7-f² (let the number be f)

Hope it helps!

~An excited gal

#StayJoyful

[tex]SparklingFlower[/tex]

What is four thirds -2/5

Answers

Answer:

14/15

Step-by-step explanation:

You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15

solve the system {2x+y=8 using substitution method.


{x-y=6 using elimination method


please answer my question ​

Answers

Answer:

y = -4/3

x = 14/3

Step-by-step explanation:

2x+y=8

x-y=6

First of all, we need the same coefficient, so we can make both of these 2x by multiplying the second one by 2.

2x+y=8

2x-2y=12

Then we need to subtract equation 1 from 2.

3y=-4

Solve normally

y = -1.33333 / -4/3

Substitute

x - (-4/3) = 6

x = 14/3

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] \red {\mathbb{ \underline { \tt by \: elimination \: method \: s}}}[/tex]

2x+y=8________(i)x-y=6_________(ii)

from equation (i):-

[tex]2x - y = 8 \\ x = \frac{8 - y}{2} [/tex]

put value of x in eq (ii)

[tex]x - y = 6 \\ \frac{8 - y}{2} - y = 6 \\ \frac{8 - y - 2y}{2} = 6 \\ 8 - y - 2y = 12 \\ 8 - 3y = 12 \\ - 3y = 12 - 8 \\ - 3y = 4 \\ y = \frac{ - 4}{3} [/tex]

put value of y in eq (i)

[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]

now,

By elimination method:-

[tex]2x + y = 8 \\ x - y = 6 \\ - - - - - - - \\ multiply \: eq \: (i) \: by \: 1 \\ and \: eq(ii) \: by \: 2 \\ \\ (2x + y = 8) \times 1\\ (x - y = 6) \times 2 \\ - - - - - - - \\2x + y = 8 \\ 2x - 2y = 12 \\ subtract \: these \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ [/tex]

put value of y in equation (i)

[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]

Can someone please help with question 7

Answers

Answer:

EEEEZZZZZ     6.708203933

Step-by-step explanation:

Answer:

6√2

12

Step-by-step explanation:

Can y’all help me put these in order from least to greatest
7/9
2/6
9/10
Please
And thank you ‍️

Answers

Answer:

2/6 < 7/9 < 9/10

Step-by-step explanation:

Please help me with this homework

Answers

Answer:

wow. at this point just guess

Step-by-step explanation:

Write the transformed equation for g(x)+4 calling it h(x)

Answers

Answer:

h(x) = (1/3)x + 6

Step-by-step explanation:

yeah-ya ....... right?

James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account.

How much money was in the account after ​ ​ 212 ​ ​ years?

Round your answer to the nearest cent.

Answers

Answer:

Answer:it's 654.06I just did the test

Step-by-step explanation:

Find the slope of the line give the following point on the line:


(-1, -9) and (-5, 1)

Answers

Answer:

-8/3

Step-by-step explanation:

Brandon enters bike races. He bikes 8 1/2 miles every 1/2 hour. complete a table to find how far Brandon bikes for each time interval.
Plz help

I will give you 20 points

Answers

8 1/2 miles = 1/2 hour

17 miles = 1 hour

25.5 miles = 1 1/2 hour

34 miles = 2 hours

42.5 miles = 2 1/2 hours


You should’ve known how to do this in the first place cuz how easy this was. You just follow a linear sequence

What is power of 3 square root of 4 / square root of 2 in simplest radical form?

Answers

Answer:

√90=3√10

Step-by-step explanation:

Round 4.01 to the nearest one decimal place.

Answers

The answer should be 4.00

Son características de interés que pueden medirse u observarse en los elementos de la población
a) Muestra
b) Frecuencia
c) Variable
d) Población

Answers

C) Variable

Dondé esta la leche

Rabbitton has 34 rabbits for every 8 gardens. Rabbit Ville has 48 rabbits for every 14 gardens. Which town has more rabbits per garden?

Answers

Rabbitton: 34 / 8 = 4 1/4

Rabbit Ville: 48 / 14 = 3 3/7

Rabbitton has more rabbits per garden

Please 10 points for one question
Please don’t answer if you don’t know

Answers

Answer:

answer is 60° hope it will help you

There are
r red marbles and g green marbles in a bag. When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3 .

Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4.

What is the ratio of r to g? Your ratio must be in its simplest form.

Answers

The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]

The first sentence about what happens to the bag of marbles;

"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"

Leads to the fractional equation

[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]

After rearranging, we get equation (1) [tex]3r-2g=5[/tex]

The next sentence about what happens to the bag of marbles;

"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"

Leads to the fractional equation

[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]

Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]

So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]

[tex]3r-2g=5\\4r-3g=-5[/tex]

Which gives [tex]r=25[/tex] and [tex]g=35[/tex]

Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]

Another example of ratio word problems can be found in the link below:

https://brainly.com/question/11343888

need help fast!! pleaseeeeeeeeeeeeeeeeeeeeeeee

Answers

What am I supposed to help with. You didn't put anything.

Plz help fast I will mark brainliest

Answers

Base angle theorem proves that

What is the completely factored form of ? (2x - 5)(3x 1) (2x 5)(3x - 1) (2x - 1)(3x - 5) (2x 1)(3x 5).

Answers

Answer: (3x+1) (2x-5)

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