Suppose you have two numbersPandQ. Explain carefully why the product of their greatest commondivisor and their least common multiple is equal toP Q.

Answers

Answer 1

Answer:

Greatest common divisor (P,Q) ×  Least common multiple (P,Q) = PQ

Step-by-step explanation:

Given: Two numbers are P and Q

To prove: product of their greatest common divisor and their least common multiple is equal to PQ

Solution:

Consider the following relation:

Greatest common divisor (P,Q) ×  Least common multiple (P,Q) = Product of numbers P and Q

Therefore,

Greatest common divisor (P,Q) ×  Least common multiple (P,Q) = PQ


Related Questions

What is 2/5% as a fraction?

Answers

if it’s a fraction and want it simplified it’s 1/500

help asap!! i’ll give brainliest!

Answers

Answer:

-4a

Step-by-step explanation:

can you graph x+y=2 x-y=4??

Answers

This is what I got I hope it helps

On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round to three decimal places

Answers

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

a box of breakfast tacos coat $12 and a contains 8 tacos how much dose each taco coast

Answers

Answer:

$1.50

Step-by-step explanation:

12/8 = 1.50

Answer:

each taco cost $1.50

Step-by-step explanation:

12÷8=1.50

Find the value of sin^-1(4pi/5)

Answers

Answer:

No value because 4π/5 exceeds the domain

Step-by-step explanation:

The domain and range of sin^-1(x) is a domain of [-1,1] and a range of [-π/2,π/2]

Since 4π/5>1, this exceeds the domain and therefore has no value.

Y = 2x + 3 The 3 represents
a. slope
b. y-intercept
c. both
d. neither

Answers

Answer:

b. y-intercept

Step-by-step explanation:

The slope=the number/s before the x

B. Y-intercept
Is the answer

Graph the line on the coordinate plane provided:
*** (don't forget to SHOW any neccesary WORK!)***
y = -31 - 2

Answers

Yay yay you got this

Norachai invests $8,876 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 13 years?


A) $15,932.34

B) $16,173.13

C) $17,002.34

D) $15,231.28

Answers

B! Have a good day! Possibly wrong!

Determine the distance, in units, from (−4,−7) to (4,8).

Answers

Answer:

17

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[4 - (-4)]² + [8 - (-7)]²

√(8)² + (15)²

√64 + 225

√289

=17

what are the factors of 64 that have a sum of 16

Answers

Anwnser 8

Step-by-step explanation:

2,4,6,8,32

Help me with this for brainiest

Answers

Answer:

11) 2 x 3.14 x (19/2)   > (we want to use the radius)

   2 x 3.14 x 9.5 = 59.66

12) 2 x 3.14 x (11/2)    > (we want to use the radius)

     2 x 3.14 x 5.5 = 34.54

     34.54/2 + 11 = 28.27   >(becuase it is only a semicircle)

   the plus 11 is the diameter, because the cirlce is cut in half

Solve the system by substitution.
-2x – 4y = -18
x=y

Answers

Hope this help you with this problem!

PLEASE PLEASE HELP!!

For problems 11 and 12, find the area of the figure. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

11)

A= (B x H)/2

A= (2.9x3.2)/2= 4.64cm²

12)

A= (B+b)H /2

A= (12+10)5.6 /2 = 61.6in

Answer:

I think that the answer might be 9.30 for the first one and the second one I think is 670.

Step-by-step explanation:

To find the area, you have to multiply the height and width for the two figures.

3.2 × 2.9 = 9.28

12 × 10 × 5.6 = 672

I think you round those to the nearest tenth. 9.28 would be 9.30 and 672 would be 670. I hope this answers your question.

what is the slope and y-intercept? write the equation. also sorry it’s so late

Answers

(y2-y1)/(x2-x1)

19-10=9

6-3=3

9/3=3

slope: 3

y-int: 1

y=3x+1

I need this ASAP PLZ...helpp ...i will give brainlies to the correct answer

Answers

Solve by factoring
x = -12
x = 3
x= -12
x= 3

solve for x by factoring ! hope this helps

5x/7-5=50 plsssssssssss noBOTS

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x=77

Explanation:

5x/7 - 5 = 50

5x/7 = 55

5x = 385

x = 77

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

5x/7 - 5 = 50

5x/7 = 50+5

5x/7=55

5x=55x7

5x = 385

x=385/5

x=77

Find the sum of the first 59 terms of the arithmetic sequence.
49, 56, 63, 70, ...
What is the sum of the first 59 terms?

Answers

Answer:

its 56

Step-by-step explanation:

The line y=2x+5 would pass through which of the following points?
A(0,2)
B. (0,10)
C. (0,5)
D. (0,7)

Answers

Answer:

C:  (0, 5)

Step-by-step explanation:

The x-coordinates are all the same:  0.  In y = 2x + 5, the 2x term would be zero in all those cases, leaving only the y-intercept (5).  

We conclude that the line would pass through (0, 5), which is the y-intercept.

Which polynomial is equivalent to 4n + 5^2

Answers

Answer:

16n^2+40n+25

Step-by-step explanation:

solve for x round to one decimal place

Answers

Answer:

13.7

Step-by-step explanation:

c^2 - b^2 = a^2

16.5^2 - 9.2^2 = a^2

272.25 - 84.64 = square root of a

square root of 187.61

= about 13.66 or 13.7

Answer:

9.2square +16.5square whole under root

Step-by-step explanation:

use a calculator sorry I don't have one on me

The equation of a circle centered at the orgin is x^2 + y^2 = 16. What is the radius of the circle

Answers

Given:

The equation of the circle is:

[tex]x^2+y^2=16[/tex]

To find:

The radius of the circle.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]              ...(i)

Where, (h,k) is the center and r is the radius.

We have,

[tex]x^2+y^2=16[/tex]

In can be written as:

[tex]x^2+y^2=4^2[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]h=0[/tex]

[tex]k=0[/tex]

[tex]r=4[/tex]

Here, the center of the circle is the origin and the radius is equal to 4 units.

Therefore, the radius of the given circle is 4 units.

In how many ways can a supermarket chain select 4 out of 12 possible sites for the construction of a new supermarket?

Answers

Answer:

6

Step-by-step explanation:

Anybody know what is this? (I think it's not a compass)

Answers

Answer:

It is actually called a compass...

Step-by-step explanation:

Answer:

They're called geometrical proportional dividers.

Giving brainlist to whoever answers this question

Answers

Answer:3x +56

Step-by-step explanation:

what is the equation of this trend line? Enter your answers by filling in the boxes.
K=__J+__ ​

Answers

Answer:

K= -2J+24

Step-by-step explanation:

Good luck .

Hope this helps .

hey !! what's the answer ??

[tex] \sqrt{39 \times 13 \times 3} [/tex]

Answers

Answer:

39

Step-by-step explanation:

sqrt(39*13*13)

= sqrt(1521)

= 39

GEOMETRY 10TH GRADE NEED HELP ASAP

Answers

[tex] \boxed{(6, -3)} [/tex]

Step-by-step explanation:

Given the ratio 5:3

and Points A and B where A is located at (-6, 3), and B is located at (26, -13).

Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].

(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].

(26, -13) → [tex] (x_{2}, y_{2}) [/tex].

Let 5 be n, and 3 be m.

5:3 → n:m

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].

To solve, just substitute these variables into the expressions of these coordinates to get the answer.

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →

[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →

[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →

[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →

[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →

[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]

[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]

[tex] (6, -3) [/tex].

Thus the coordinates of B are:

[tex] \boxed{(6, -3)} [/tex]

Answer:

Step-by-step explanation:

AB:BC::5:3

let the coordinates be (x,y)

[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]

coordinates of B are (14,3)

i need help with 6 and 7! please help asap!! and explain why

Answers

Answer: I would say 6 its a function and 7 its not because in number seven the x value repeats so it can't be a function and number 6 the x-value its not the same

Step-by-step explanation: When the x-value repeats its not a function if the y-value repeats it doesn't matter

No links please. Help

Answers

Answer:

C :D

Step-by-step explanation:

Answer:

3 3/4 cubic inches

Step-by-step explanation:

2 1/2 × 1 1/2 × 1= 3 3/4

[tex]l*w*h=v[/tex]

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