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

HELP!! URGENT!! 75 POINTS + BRAINLIEST!!

Answers

The picture is grey I can’t see it

how much food can this container hold if its 3 on the top and 9 on the side

Answers

I think it’s 27 but im not positive

Please help What is the distance between points (5, 2) and(-3,-4) on the coordinate
plane? *

Answers

Answer:

10 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (- 3, - 4)

d = [tex]\sqrt{(-3-5)^2+(-4-2)^2}[/tex]

  = [tex]\sqrt{(-8)^2+(-6)^2}[/tex]

  = [tex]\sqrt{64+36}[/tex]

   = [tex]\sqrt{100}[/tex]

    = 10

 

   

The measure of one side of a square is
x + 5. Which expression represent the area and perimeter of the square.

Answers

Answer:

Area of a Square is the square of its side. In your question, the length of the side of the square is 5x and the calculates to (5x^2)square units.

Area of Square = (side^2)

Step-by-step explanation:

ILL BRAINLIEST YOU IF YOU GET IT RIGHT! Please help me

Answers

Answer:

x = 25

Step-by-step explanation:

If JK and MN are parallel lines, then ∠JKL = ∠LMN = 61°

By the opposite angle rule, ∠JLK = 39°

In a triangle three angles sum up to 180°

so, ∠JLK + ∠JKL +LJK = 180°

39° + 61° + 3x+ 5 = 180°

3x = 75

x = 25

Step-by-step explanation:

[tex]61 + 39 + 3x + 5 = 180 \\ \\ 105 + 3x = 180 \\ \\ 3x = 180 - 105 \\ \\ 3x = 75 \\ \\ x = 75 \div 3 \\ \\ x = 25 \\ [/tex]

An easel with sides of equal length opened and placed on a desk. What type of triangle is formed by the easel and the desk by sides and by angles?

Answers

Answer:

isosceles right triangle

Step-by-step explanation:

In this question it is given that the two sides of easel are same.

A triangle formed has three sides - two of easel and one of the table itself.

The angle formed in 90 degrees (right angle)

Hence the triangle is a isosceles right triangle

Use the Pythagorean Theorem to find the distance between points A and D.
es -))
A)
22
B)
2/3
C)
3/5
D)
134

Answers

Answer:

The answer is C

Step-by-step explanation:

i did the test

whats the annulus of the shaded area? ​

Answers

Answer:

19.20

Step-by-step explanation:

c = 13.86

Liam had 75% more magnets than John at first. Liam gave away 200% as many magnets as John. John was left with 25% of the magnets he had at first. What fraction of Liam's magnets did he have in the end?

Answers

Answer: 6/4x

Then  John ended up with  v/4  magnets  and  gave away  (3/4)x

Liam   gave  away  2 ( 3/4)x = 6/4x  magnets  and  was  left  with  x/4  magnets

Notice that they have the same number now so  John  has 100%  of Liam's  magnets

Step-by-step explanation:

Give me brainllest

question:25y²-1
answer​

Answers

Answer:

(5y - 1)(5y + 1)

Step-by-step explanation:

Assuming you require the expression to be factorised.

25y² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

25y² - 1

= (5y)² - 1²

= (5y - 1)(5y + 1)

Answer:

Below.

Step-by-step explanation:

25y²-1

This is the difference of 2 squares and it factors to (5y - 1)(5y + 1).

Solve for k.

A.10
B.2
C. 5

HELP NOW PLEASE

Answers

6k=k + 100
6k-k= 5
5k= 10
K=2

0, 4, -2, 2/3, -1.8, 16, 3.2, -5/4 Which numbers are rational numbers that are not integers?


Answers

Answer:

rational but not integers:  2/3, -1.8, 3.2, -5/4

Step-by-step explanation:

2.


A. 6.5

B. –5.5

C. 3

D. 30

Answers

Answer:  C. 3

-6v<   x       v>-.5

divide by -6  flips the inequality

v> x/-6

so x/-6 = -.5

multiply by -6 on each side

x = -.5 * -6

x=3

Choice B.... 3

Step-by-step explanation:

for triangle FGH, angles F and G are known, as is the length of side h. Which method should be used to start solving triangle FGH?

- neither law can be used
- law of sines
- law of cosines
- both laws can be used

Answers

Answer:

Law of sines

Step-by-step explanation:

i took the test

The law of sines can be used to calculate the side h. Hence, option B is correct.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

For triangle FGH, angles F and G are known, as is the length of side h. The sin angle is the ratio of the perpendicular to the hypotenuse we can calculate one side by using the sine angle.

Hence, Hence, option B is correct.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ2

Could somebody please help with this? I don't quite understand it. Due by the end of today.

Answers

You can use math-way for this :)

Taylor bought some jeans on sale. The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans. Find the amount of money Taylor spent,

Answers

Answer:

30

Step-by-step explanation:

Let the amount of money Taylor spent = x

The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans.

Hence

1/5 × x = 6 jeans

x/5 = 6 jeans

Cross Multiply

x = 5 × 6 jeans

x = 30

The amount of money Taylor spent = 30

I Mark Brainliest ! No Bots Plz
Select All that apply

Answers

Answer:

Option 2

Step-by-step explanation:

Option 2 is correct

Stephen spent $12.35 at a food truck. He bought 3 burgers for $1.25 each and 4 corndogs.
How much did Stephen pay for each corndog?




$2.86

$8.60

$2.77

$2.15

Answers

Answer:

The 3rd one 2.15

Step-by-step explanation:

12.35 in whole

1.25 x 3 = 3.75

12.35-3.75= 8.60

[tex]\sqrt[4]{8.60}[/tex] = 2.15

pls give brainlist <33

Answer:

$2.15

Step-by-step explanation:

Start off by multiplying $1.25 by 3 to find out how much the burgers are all together. This would be $3.75 for all three of the burgers. Then subtract $3.75 from the total amount spent ($12.35). This would give you $8.60. To find how much he spend on each corndog, you do $8.60 divided by 4. This would give you the answer of $2.15.

What is the shape of the cross section created by plane A?

Answers

Answer:

B

Step-by-step explanation:

The base is a square

simplify 4^3 x 4^5 a. 16x15 b. 16^8 c. 4^15 d. 4^8

Answers

Answer:

4^8

Step-by-step explanation:

4^3 x 4^5 = 4^3+5 = 4^8 = 65536

Plz help......................

Answers

Answer: A is your aswer hope thsi helped

Step-by-step explanation:

pleas make brainly

Answer:

the answer is A) subtract 7 on both sides

Step-by-step explanation:

because you need to get the x and numbers on one side so it would be like this

2x+7=23

    -7  -7

2x=16

m/m+5=6.somebody help?​

Answers

Answer:

m= -6

that's if it's "m" over "m+5" equals 6

let me know if it's "m" over "m" and then plus 5 equals 6

Explanation on How to answer what is the density of an object that has a mass of 73,430 and the volume of 7 m3

Answers

Answer:

Density = 10,490 g/m³

Step-by-step explanation:

Density = mass ÷ volume

here mass = 73,430 g

        volume = 7 m³

density = 73,430 ÷ 7

             = 10490 g/m³

Density = 10,490 g/m³

WILL GIVE BRAINLIEST!!

complete orbit around the sun for Saturn is approximately 5.7 x 10^9 miles and takes approximately 3 x 10^1
Earth years. About how far does Saturn travel in 1 Earth year?

(A) 1.9 x 10^7 miles
(B) 1.9 x 10^8 miles
(C) 1.7 10^11 miles
(D) 1.7 X 10^12 miles

Answers

Answer:

I choose option C

Step-by-step explanation:

I really not sure.

sort of 50/50.

so if I am right plz give brainliest

Answer: The answer is B

Step-by-step explanation:

I had the same test

Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?

(x – 9)2 + (y + 4)2 = 25
(x + 4)2 + (y – 9)2 = 25
(x – 9)2 + (y + 4)2 = 100
(x + 4)2 + (y – 9)2 = 100

Answers

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

Data

h = -4k = 9r = diameter/2 = 10/2 = 5

Equation of Circle

The equation of circle is given by

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

Let's substitute our values and get our equation

[tex](x--4)^2 + (y-9)^2 = 5^2\\(x+4)^2 + (y-9)^2 = 25[/tex]

we substituted the values of h and k and made sure it's in the standard form of equation of a circle.

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

This looks exactly like

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

Learn more on equation of a circle here;

https://brainly.com/question/15214797


Sam can make 15 pizzas in 2.5 hours. At this rate, how many could he make in an 8 hour work day? What is Sam´s rate per hour?

A copy machine makes 45 copies in 25 second. Find the unit rate of copied per second.

A sign in a store says 3 pens for $2.70. How much would 10 pens cost?

What is the unit price of 10 pounds of potatoes that cost $2.80?

Answers

Answer:

1) Sam makes 48 pizzas in 8 hours. Sam makes 6 pizzas per hour.

2) The machine makes 1.8 copies per second.

3) 10 pens cost $9.00

4) $0.28

Step-by-step explanation:

1)

[tex]\frac{15}{2.5} =\frac{x}{8} \\\\2.5x=120\\x=48[/tex]

[tex]\frac{15}{2.5} =\frac{x}{1} \\\\2.5x=15\\x=6[/tex]

2)

[tex]\frac{45}{25} =\frac{x}{1} \\\\25x=45\\x=1.8[/tex]

3)

[tex]\frac{3}{2.7} =\frac{10}{x} \\\\3x=27\\x=9[/tex]

4)

2.8/10 = 0.28

After how many years since leaving the band can Jake expect to have 1,000 members left in his fan club? Input your answer to the nearest tenth of a year. Then click done.

Answers

Answer:

9.4 years

Step-by-step explanation:

It is given that Jake left the band.

We are required to find after how many years the band would have 1000 members left since Jake left the band.

The graph is provided where the x-axis represents the number of years since Jake left the band and y-axis which shows the number of fan club members.

It also represents the equation which is [tex]$y=-2,129.75x+21,028.35$[/tex]

According to the question,  when we substitute y i.e. number of members in the fan clubs as 1000 in the above equation ,we get :

   [tex]$y=-2,129.75x+21,028.35$[/tex]

⇒ [tex]$1000=-2,129.75x+21,028.35$[/tex]

⇒ [tex]$-21,028.35+1000=-2,129.75x$[/tex]

⇒  [tex]$-20,028.35=-2,129.75x$[/tex]

⇒   [tex]$x=\frac{-20,028.35}{-2,129.75}$[/tex]

[tex]$x=9.40$[/tex]

Therefore, x =9.4 years

can someone help me with this please

Answers

2x+8y=9
4x+16y=18
this is because the second equation is the first equation, but multiplied by 2. if one side is multiplied by 2, so is the other
the answer is 18

pleaseeeee helppppppp

Answers

I would use an app called Photomath, it’s the easiest and shows steps on how to do it
Try using an app called Math-way, it’s really easy to use and don’t need points or anything

Eli won 2 out of 3 chess games one day. At this rate, if he played 33 games, how many did he win?

Answers

Answer: 16.5

Step-by-step explanation:

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