A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/ 18. Find the two integers.

Answers

Answer 1

Answer:

9 and 18

Step-by-step explanation:

Let the integers be a and 2a (since one is twice the other).

The reciprocals are 1/a and 1/(2a) respectively.

Difference means tk subtract.

So we have 1/a-1/(2a)=1/18

Multiply both sides by 18:.

18a/a-18a/(2a)=18a/18

Simplify:

18-9=a

Simplify:

9=a

If a=9, then 2a=18

The integers are 9 and 18.

Test:

1/9-1/18

2/18-1/18

1/18

Golden!


Related Questions

Both Raquel and Felipe attempt to make a scale drawing of the original parallelogram shown

Answers

Answer:

Both of them drew the parallelogram right.

Step-by-step explanation:

In Raquel's drawing we can see that the parallelogram is shorter and smaller but both the opposite lines are congruent to each other and match the scale size to the original drawing. And it Felipe's drawing the parallelogram is longer and bigger than the original drawing but the opposite line are also congruent to each other and match the scale size to the original drawing!!

I hope you get it right! :)

Mark wishes to pay off a loan of $7560 in 42 months. How large will the monthly payments be?
can someone show me how to do it step by step please

Answers

Answer:

The monthly payments will be $180.

Step-by-step explanation:

You only have to divide $7560 by the 42 months Mark wished to pay the loan off in.

what’s the answer to this math problem


2 divided by 5

Answers

Answer:

2.5

Step-by-step explanation:

that was so hard to figure out tbh

Two divided by 5 is 0.4

help pls ! (i mark brainliest).

Answers

Answer: The answer is

25 Units

Answer:

36 units

please mark me brainleast

Calculate the area of each figure.

Answers

Answer:

230[tex]cm^{2}[/tex]

Step-by-step explanation:

17*10=170

12*10*1/2=60

170+60=230

I forgot how to do this for my brother

Answers

Answer:

11

Step-by-step explanation:

Add:

26 + 19 + 43

^       ^

   45 + 43

       88

Divide:

88 / 8 = 11

So, each tank has 11 fish.

Hope this helped.

Can anyone help me to solve this question ??
find the zeroes for P(x)=6x³-13x²+x+2 given 0.5 is one of the zeroes

The answers :
-1/3 , 0.5 , 2

Answers

Step-by-step explanation:

that means the expression is the result of a multiplication with (x-0.5) being one factor.

so, we divide the whole expression by this and then deal with the remaining quadratic equation.

6x³ - 13x² + x + 2 / x - 0.5 = 6x² - 10x - 4

- 6x³ - 3x²

----------------------------

- 10x² + x + 2

- - 10x² + 5x

----------------------------

- 4x + 2

- - 4x + 2

----------------------------

finished. 0

so, the whole expression is also

P(x) = (x-0.5)×(6x² - 10x - 4)

now we need to find the 2 zero points of the quadratic part.

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 6

b = -10

c = -4

x = (10 ± sqrt(100 - 4×6×-4))/12 =

= (10 ± sqrt(100 + 96))/12 = (10 ± sqrt(196))/12 =

= (10 ± 14)/12

x1 = (10+14)/12 = 24/12 = 2

x2 = (10-14)/12 = -4/12 = -1/3

the ratio of two number is 4:7 and their hcf is 6 .find their lcm​

Answers

168

this is the full process

find the real numbers x&y so that (x^2+2xy)+i(y-1) = (x^2-2x+2y) - i(x+y)​

Answers

In order for two complex numbers to be equal, their real and imaginary parts must match up.

So if

x ² + 2xy + i (y - 1) = x ² - 2x + 2y - i (x + y)

then

x ² + 2xy = x ² - 2x + 2y

and

y - 1 = -x - y

Solve for x and y : the first equation gives

x ² + 2xy = x ² - 2x + 2y

2xy = 2y - 2x

and the second gives

y - 1 = -x - y

2y = 1 - x

Substitute this into the first equation:

x (1 - x) = (1 - x) - 2x

x - x ² = 1 - 3x

x ² - 4x + 1 = 0

x = 2 ± √3

Then

x = 2 - √3   ==>   y = (-1 + √3)/2

x = 2 + √3   ==>   y = (-1 - √3)/2

both of which make both sides of the equation (2 - √3) + i (√3 - 3)/2.

From this density, the probability that X is between 0.5 and 1.5 is:
a. 1/3,
b. 1/2.
c. 3/4
d. 1.

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbb

From the density in the diagram, the probability that X is between 0.5 and 1.5 is 1/2. Option B

How do we solve for the probability density?

The probability density function of a random variable X is a function that gives the probability that X will take on a certain value.

In this case, the probability density function is a line segment that goes from 0 to 1.

The probability that X is between 0.5 and 1.5 is the area under the probability density function between 0.5 and 1.5.

This area is equal to the length of the line segment between 0.5 and 1.5, which is 1.

Therefore, the probability that X is between 0.5 and 1.5 is 1/2. Option B

Find more exercises on probability density;

https://brainly.com/question/29243488

#SPJ6

Full question

The Probability Density Of A Random Variable X Is Given In The Following Figure.

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

|........................................................|

0                       1                             2

                         x

From this density, the probability that X is between 0.5 and 1.5 is:

a. 1/3,

b. 1/2.

c. 3/4

d. 1.

each of the figure below is made of the unit square which of the following figure has the maximum perimeter
6 question pls

Answers

Answer:

c is the answer

which real number lies farther from 0 on the real number line -15 or 10? Explain​

Answers

Answer:

-15

Step-by-step explanation:

-15 because it's 15 units left from the origin or 0 while 10 is 10 units right from the origin or 0

Show two ways fivepeople cans hare a 3-segmant chewy fruit worm

Answers

Answer:

ethethe

Step-by-step explanation:

thethetht

The volume of a sphere is a function of its​ radius,

V=43πr3.

Evaluate the function for the volume of a volleyball with radius

11.6

cm.


Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]6525\text{cm.}^3[/tex]

Keep in mind that this is APPROXIMATE.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Volume of a Sphere Is:}}\\\\V = \frac{4}{3} \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = \frac{4}{3}(3.14) (11.6)^3\\\\V = \frac{4}{3}(3.14) 1560.896\\\\V \approx 6534.95125\text{cm.}^3\\\\\boxed{V \approx 6535\text{cm.}^3}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

An alphabetic character representing a number

Answers

Answer:

a variable

Step-by-step explanation:

The answer is a variable because it's a letter that stands in place of a number

Answer:

simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z

Ken Ken 5x5 please help

Answers

Answer:

5x5= 25

Step-by-step explanation:

5+5+5+5+5= 25

v=n/4(c+H) what is the answer for H?

Answers

Answer:

H = (n/4v) - c

Step-by-step explanation:

I ASSUME the equation is

v = n/(4(c + H))

multiply by (c + H)

v(c + H) = n/4

divide by v

c + H = n/4v

subtract c

H = (n/4v) - c

If the equation is v = (n/4)(c + H)

Then

H = (4v/n) - c

A 3-foot piece of brass wire costs $18.00. What is the price per inch?

Answers

Answer:

50¢

Step-by-step explanation:

$18.00=1800.

3*12=36

1800/36=50

Answer:

Step-by-step explanation:

the price of per inch is $2

what is other way to write 3x(4+7)​

Answers

Answer:

[tex]3 \times (4 + 7) =( 3 \times 4) + (3 \times 7) \\ thank \: you[/tex]

Find the equation for the line that passes through the point (5, -1), and that is parallel to the line with the equation y =-1/4x-9/2

Answers

Answer:

y = -1/4x + 1/4

Step-by-step explanation:

y = -1/4x + b

-1 = -1/4(5) + b

-1 = -5/4 + b

b = 1/4

If f(x)=2x-1and g(x)=x^2-3x-2,find( f+g)(x)

Answers

Answer:

[tex](f+g)(x)=x^2-x-3[/tex]

Step-by-step explanation:

We have [tex]f(x)=2x-1[/tex] and [tex]g(x)=x^2-3x-2[/tex]

Recall that [tex]f+g[/tex] is defined by [tex](f+g)(x)=f(x)+g(x)[/tex], therefore

[tex](f+g)(x)=f(x)+g(x)=2x-1+x^2-3x-2=x^2-x-3[/tex]

Point M is located at (-2,7) . If point N is 13 units away from M, how many possible coordinate pairs (x,y) could point N have?

Answers

Uh I need a pic to help you

The sum of twice a number and three

Answers

the answer is 2x+3
doneeee

Which expresses 0.025 as a percent?
A- 0.025%
B- 2.5%
C- 0.0025%
D- 0.25%

Answers

Answer:

a is the answer I'm 1000% sure

Answer:

2.5%

Step-by-step explanation:

If you’re trying to convert a number to a percent, then multiply the number by 100



Is 8,916,699 divisible by 4?
yes
no

Answers

Answer: no

Step-by-step explanation:

Write in standard form 4.025x10 2

Answers

Answer:

402. 5

Step-by-step explanation:

This is your answer hope this helps

And also pls mark me brainliest

Indicate which is the largest decimal in each of the following pairs.
0.0006 and 0.006

Answers

Answer:

0.006 is the larger decimal

Answer:

0.006 is the right answer

Step-by-step explanation:

Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.

Please help me! I need details please!

Answers

Plotting is the place the dots belong to?

If you want to do a positive of which is like (x,5) then you go to in between the right top and bottom or x axis where the positives are and count, if the (2,y) is positive you count and go up if y is a negative then you count down how many number there is.

Let’s use (1,-1) first you go into the x-axis, one is a positive so you go to one in there, and go down one or to -1 bc the -1 is a negative and the digit is 1. ( I hope it made sense, if u need more help u can tell me.)

How many right triangles have a hypotenuse that measures 4x + 2 meters and legs that measure 4x-2 meters and x + 6 meters? What are the dimensions of the triangle(s)?

Answers

9514 1404 393

Answer:

2 triangles; x={2, 18}10 m, 6 m, 8m74 m, 70 m, 24 m

Step-by-step explanation:

The given sides will form a right triangle when ...

  (4x +2)² = (4x -2)² +(x +6)² . . . . . the Pythagorean theorem is satisfied

  16x² +16x +4 = 16x² -16x +4 +x² +12x +36 . . . . eliminate parentheses

  x² -20x +36 = 0 . . . . . simplify to standard form

  (x -2)(x -18) = 0 . . . . . . factor

  x = 2 or 18 . . . . . . . . values of x that make the factors zero

There are two triangles.

For x = 2

  hypotenuse = 4(2) +2 = 10

  leg1 = 4(2) -2 = 6

  leg2 = 2 +6 = 8

  dimensions are 6 m by 8 m with hypotenuse 10 m.

For x = 18

  hypotenuse = 4(18) +2 = 74

  leg1 = 4(18) -2 = 70

  leg2 = 18 +6 = 24

  dimensions are 24 m by 70 m with hypotenuse 74 m.

the sum of 4 consecutive integers is 406. find the integers

Answers

Answer and Step-by-step explanation:

When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.

The answer is:

100 + 101 + 102 + 103

It adds up to 406, and the integers are consecutive.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Step-by-step explanation:

let the numbers be n,n+1,n+2,n+3

n+n+1+n+2+n+3=406

4n+6=406

4n=406-6=400

n=400/4=100

then the numbers are

100,100+1,100+2,100+3

or

100,101,102,103

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