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

share 5,000 in the ratio of 1:2:3:4​

Answers

Answer:

500 : 1000 : 1500 : 2000

Step-by-step explanation:

sum the parts of the ratio , 1 + 2 + 3 + 4 = 10 parts

Divide the amount by 10 to find the value of one part of the ratio

5000 ÷ 10 = 500 ← value of 1 part of the ratio , then

2 parts = 2 × 500 = 1000

3 parts = 3 × 500 = 1500

4 parts = 4 × 500 = 2000

5000 = 500 : 1000 : 1500 : 2000 in the ratio 1 : 2 : 3 : 4

Total
1:2:3:4 10
500:1000:1500:2000 5000

Steps:

1+2+3+4=10
5000 divided by 10= 500
500x1=500
500x2=1000
500x3=1500
500x4=2000

So the final answer is

500:1000:1500:2000

Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.

What is the approximate discount on the calculator?


20%

25%

30%

35%

Answers

The approximate percentage discount is equal to 25%.

Given the following data:

Sales price = $68.25.Original price = 89.99

To calculate the approximate discount on the calculator:

First of all, we would determine the discount on the calculator by using the following mathematical expression:

[tex]Discount = Original\;price -Sales\;price[/tex]

[tex]Discount = 89.99 -68.25[/tex]

Discount = $21.74

Now, we can calculate the approximate percentage discount:

[tex]Percent\;discount = \frac{21.74}{89.99} \times 100\\\\Percent\;discount = \frac{2174}{89.99}\\\\Percent\;discount = 24.16[/tex]

Percent discount = 25%

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For 250 points and brainiest......

Order the following number from least to greatest

1. -7, 0, -5
2. -3, -2, 10
3. -18.5, 18, -12.5
4. 26, -20, -24.5

Answers

Answer:

1.) -7,-5,0

2.)-3,-2,10

3.)-18.5,-12.5,18

4.)-24.5-20,26

Step-by-step explanation:

Here is the order

-7<-5<0

#2

-3<-2<10

#3

-18.5<-12.5<18

#4

-24.5<-20<26

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

1. Parallel

2. Neither

3. Perpendicular

4. Perpendicular

5. Neither

6. Same Line

7. Perpendicular

8. Parallel

9. Same Line

10. Perpendicular

11. Parallel

12. Perpendicular

13. Parallel

14. Same Line

15. Perpendicular

16. Parallel

17. Neither

18. Parallel

19. Parallel

20. Parallel

Calculate ������(������) when ������(������)=⟨6������−1,−1,3������⟩.

Answers

Answer:

3.7

Step-by-step explanation:

4.99 for 13lb find the unit rate

Answers

Answer:

$0.38 per lb.

Step-by-step explanation:

unit rate formula; cost / quantity

4.99 / 13 = 0.3838461538461

round to the nearest hundredth

a garden snail moves 1/6 foot in 1/3 hours. Find the speed of the snail in feet per hour

Answers

(1/6)/(1/3)
1/6 x 3/1
1/6 x 3
3/6
1/2

3/6 = 1/2 fph = .5fph

PLS HELP WILL MARK YOU BRAINLIEST

Answers

Answer:

a2 + 4a + 16

Step-by-step explanation:

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value

BRAINLIEST?

The radius of a circle is 5 inches. What is the diameter? What is the circumference

Answers

Answer:

10 in

10\pi

Step-by-step explanation:

Diameter = 2× radious

[tex]c = 2 \times \pi \times r = 2\pi \times 5 = 10\pi[/tex]

Help I am stuck I will give brainlist

Answers

Answer:  I think it is B

Step-by-step explanation:

Lilly made 32 of her 40 serve attempts over the net. What percent of her serves made it over the net?

Answers

80%

(32/40)=0.8
0.8 x 100 = 80

This is slopes is this supposed to be negative or positive????

Answers

This slope will be zero

ANGLES OF A TRIANGLE SOMEONE ANSWER ASAP PLS ! );

Answers

Answer:

∠K = 123°

∠L = 97°

∠O = 83°

∠N = 40°

Step-by-step explanation:

∠K and ∡57° are Supplementary, so their sum is equal to 180°

180 - 57 = 123

∠K = 123°

∠N and ∡140° are also Supplementary

180 - 140 = 40

∠N = 40°

The area of a triangle is equal to 180 when all angles are added together

40 + 57 = 97

180 - 97 = 83

∠O = 83°

∠L is an outside angle, which is equal to the sum of the 2 further angles (in this case ∡57° and ∠N) which we found was 97° when solving for ∠O

∠L = 97°

Now to check ∠K we add ∠O and ∠N

83 + 40 = 123

Now we also check ∠O with ∡140°

140 - 57 = 83

So all of the angles check out correctly

TJ wants to sell his antique 1966 Mustang. He begins to set his price by looking at ads and finds these prices: $12,000, $9,500, $7,500, $14,000, and $12,000. What is the mean, median, mode, and range price?

Answers

Answer:

Range: 6,500

The difference between the largest and the smallest number.

Mode: 12,000

The number that appears most.

Mean: 11,000

Because its the average of all numbers

Median: 9,500

The middle number

What is the mean absolute deviation (MAD) of the data set?

2, 6, 8, 12, 12

Enter your answer as a decimal in the box.

Answers

Answer:

2+6+8+12+12=40

40 divided by 5=8

6+2+0+4+4=16

16 divided by 5=3.2

MAD=3.2

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

I took the test

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.

Find the percent of each number mentally.

A video controller cost $39. If a 6.75% sales tax is added, what is the total cost?

A. $2.63
B. $28.95
C.$41.63
D. $45.75

Answers

the correct answer is C

The total cost of the video controller is $41.63.

The correct option is C.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A video controller cost $39.

If a 6.75% sales tax is added,

that means,

6.75% of 39,

= 6.75 x 39 / 100

= 2.6325 taxed amount.

The total cost = 39 + 2.6325 = 41.63.

Therefore, $41.63 is the total cost.

To learn more about the percentage;

https://brainly.com/question/24159063

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If (x) - 3x2 - 2x* 4 and g(x) = 5x2 - 6x - 8, find (f + 9) (4),
A. (14 g)(x) = 2x2 - 8x+12
B. (I* (*) - 2x2 4 84 - 12
C. (1 + 9)(x) = 8x2 + 4x - 4
D. (1+ g)(x) = 8x2 + 8x + 12

Answers

Answer:

C

Step-by-step explanation:

3x^2+5x^2-2x+6x+4-8

8x^2+4x-4

20) Joan bought a soft drink for 2 dollars and 8 candy bars. She spent a total of 34 dollars. How much did each candy bar
cost?

Answers

Answer:

the answer is$4

Step-by-step explanation:

he spend $2 on soft drinks and now she had 32 dollars left so she bought 8 candy and 32÷8= 4 so, she had spend$4 each on candy bars

please help and explain how to do it

Answers

m^9*m= m^10. m^10/m^5= ^10-^5=^5. So the answer is m^5

Find the distance between the two points in simplest radical form. Please help! <3​

Answers

Answer: on the bottom is (-6,5) and on the top is (1,7)

Step-by-step explanation:

When the function f(x) = 5•2x is evaluated for x = 3, the output is:
30.
20.
10.
None of the choices are correct.

Answers

The answer is 30

2 x 3 = 6
5 x 6 = 30

100 POINTS IF U GET THIS RIGHT!

Answers

Answer:

y-intercept: 5/3

Step-by-step explanation:

Our equation: y = mx + b

Given equation: y = -8/3 + 5/3

=> Now, let's compare.

=> y = mx + b = y = -8/3 + 5/3

=> we can tell that the y-intercept is b, which is 5/3.

Hoped this helped.

[tex]y = - \dfrac 83 x + \dfrac 53 \\\\\\\text{The above equation is in a form of y = mx +b where b is the y-intercept}\\\\\text{Hence}~ \dfrac 53~ \text{is the y-intercept}[/tex]

-2k-4k=-18
i need help asapp

Answers

Answer: k = 3

-2k - 4k = -18

-2k - 4k = -18

-6k = -18

k = -18/-6

k = 3

Would appreciate brainly <3

Answer:

k = 3

Step-by-step explanation:

Given,To find the value of k

Equation:-2k - 4k = -18

Solution:

=> -2k - 4k = -18

(On adding like terms -2k and -4k)

=> -6k = -18

(As -6 multiplied with k in this side, on other side it will divide -18)

[tex] = > k = \frac{ - 18}{ - 6} [/tex]

(On Simplification)

=> k = 3 (Ans)

Volume=1210 ft radius of 11 find the height

Answers

Answer:  12.73 feet

Step-by-step explanation:  We aren't told the type of vessel.  I'll assume a cylindrical tank.

Volume of a cylindrical tank is V = πr²h

I'm assuming the 1210 is in units of volume, such as ft^3

1210ft^3 = πr²h

h = (1210ft^3 )/(π(5.5)²)

h = 12.73 ft

Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!

Answers

take a pic of what and where are the questions???

What two words make the contradion "there's"
A. There are
B. There is
C. That is
D. There has

Answers

Answer:

C: There is

Step-by-step explanation:

Hope this helps!

Mark as Brainliest if it does.

Which expression represents the word phrase?
Drag an expression into each box to match each word phrase
the quotient of a number and 12
the sum of a number and 12
the difference between 12 and a number
12 - P
12 + p
p-12
p/12
12p
12/p

Answers

Answer:

The difference between 12 and a number ➜ 12 - p

The sum of a number and 12 ➜ 12 + p

The quotient of a number and 12 ➜ [tex]\frac{p}{12}[/tex]

The expression in the box for the quotient of a number and 12, the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.

What is an expression?

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

If x and y are the arbitrary numbers.

And sum of the numbers are x + y,

difference of the numbers are x - y and

quotient of number x and y is x/y.

Here we have the expression and their representation,

the quotient of a number and 12 = p/12

the sum of a number and 12 = p + 12

the difference between 12 and a number =  p - 12.

Therefore the expression in the box for the quotient of a number and 12,

the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.

To learn more about the expression;

brainly.com/question/24242989  

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what is the answer to this question
6(3/4 + 2/3) - 4(1/6 + 1/2)

Answers

Answer:

5.83333333333

Step-by-step explanation:  there you go

i don't know what this means someone help?????

Answers

Answer:

2

Step-by-step explanation:

so 10÷2=5 6÷2=3 3/5

that what u need?

Answer:

the answer would be 2      

Step-by-step explanation:

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