Find two numbers if their Least Common Multiple, LCM is 100 and their Highest Common Factor, HCF is 5. Give two possible pairs of answers. ​

Answers

Answer 1

Step-by-step explanation:

Let H = HCF(A,B) and L = LCM(A,B)

Then A*B = L*H

Here L*H = 100*5 = 500

Also H <= A ,B <= L

So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.

Here 500 = 2^2 * 5^3

so possible values of A and B are

1 , 500

2, 250

4, 125

5,100

10,50

20,25

(assuming order doesn’t matter.)

so pairs satisfying given condition are → (20,25) and (100,5)

You can write a computer program in language of your choice to do it for other bigger numbers.


Related Questions

Please help me with this question!

Answers

Answer:

part 2 of 3 means is it ans

Step-by-step explanation:

I don't understand ur question can u explain me then I I will ans

Argent deadline is tomorrow a²-(b-c)²​

Answers

Answer:

[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]

Step-by-step explanation:

[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]

[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]

What is the value of b2 - 4ac for the following equation?

2x^2 - 2x - 1 = 0​

Answers

Answer:

12

Step-by-step explanation:

We are finding the discriminant

b^2 -4ac

2x^2 - 2x - 1 = 0​

a =2  b = -2  c = -1

(-2)^2 - 4(2)(-1)

4 +8

12

Answer:

[tex]b^2 - 4ac= 12[/tex]

Step-by-step explanation:

Standard quadratic equation :

                   [tex]ax^2 + bx + c = 0[/tex]

Given equation :

                  [tex]2x^2 - 2x - 1 = 0[/tex]

From the given equation , a = 2, b = -2 , c = -1

Therefore,

              [tex]b^2 - 4ac= ( -2)^2 - ( 4 \times 2 \times (-1))[/tex]

                          [tex]=4 + 8 = 12[/tex]

nyatakan nilai digit 3 dalam asas sepuluh, bagi nombor 22314 asas 5

Answers

Answer:

75

Step-by-step explanation:

22314 asas 5 => digit 3 dalam asas 10 menjadi :(3×5²) = 3×25 = 75

I need help with this question

Answers

Answer:

a

Step-by-step explanation:

because- the numbers and then choose correct options


What are the lengths of AD, DB, AE, and EC? Measure and record them.

Answers

i’ll be able to help if you have a picture to show me

What is the x-value in the solution to this system of linear equations?

2x − y = 11

x + 3y = −5

−3
−1
2
4

Answers

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x - y = 11

x + 3y = -5

Step 2: Rewrite Systems

2x - y = 11

[Subtraction Property of Equality] Subtract 2x on both sides:                      -y = 11 - 2x[Division Property of Equality] Divide -1 on both sides:                                  y = 2x - 11

Step 3: Redefine Systems

y = 2x - 11

x + 3y = -5

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                        x + 3(2x - 11) = -5[Distributive Property] Distribute 3:                                                                 x + 6x - 33 = -5Combine like terms:                                                                                         7x - 33 = -5[Addition Property of Equality] Add 33 on both sides:                                  7x = 28[Division Property of Equality] Divide 7 on both sides:                                  x = 4

Answer:

x = 4

Step-by-step explanation:

2x - y = 11

x + 3y = -5

To calculate the value of x , firstly we need to find value of y.

solve for y

2x - y = 11

subtract 2x from both side

2x - 2x - y = 11 - 2x-y = 11 - 2x

change the sign of both side of equation

y = -11 + 2x

rewrite

y = 2x - 11

Solve for x

y = 2x - 11x + 3y = -5

substitute the value of y in the equation

x + 3( 2x - 11 ) = -5

distribute 3

x + 3 × 2x - 3× 11 = -5x + 6x - 33 = -5

combine like terms

7x - 33 = -5

Add 33 on both side

7x - 33 + 33 = -5 + 337x = 28

divide both side by 7

7x / 7 = 28 / 7x = 4

She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did she have?

Answers

Answer:

x = number of quarters = 25

y = number of dimes = 15

Step-by-step explanation:

Let

x = number of quarters

y = number of dimes

1 dime = $0.10

1 quarter = $0.25

x + y = 40 (1)

0.25x + 0.10y = 7.75 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

0.25x + 0.10y = 7.75 (2)

0.25(40 - y) + 0.10y = 7.75

10 - 0.25y + 0.10y = 7.75

- 0.25y + 0.10y = 7.75 - 10

-0.15y = -2.25

y = -2.25/-0.15

y = 15

Substitute y = 15 into (1)

x + y = 40 (1)

x + 15 = 40

x = 40 - 15

x = 25

x = number of quarters = 25

y = number of dimes = 15

Total quarters = 25 × $0.25

= $6.25

Total dimes = 15 × $0.10

= $1.5

Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event

Answers

Answer:

.25

Step-by-step explanation:

there are 13 clubs

13/52= 1/4

Aisha wants to paint the four walls of her living room. Each wall is 2.6 m high and 3.5 m long. One wall has a door of 2.2 m by 0.8 m. Tins of paint cost £11 per 2 L tin. Each litre of paint can cover 8 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room

Answers

Answer:

£22

Step-by-step explanation:

Area to be painted

4walls - door

a = 4(2.6 * 3.5) - 2.2 * 0.8

a = 34.64 m²

Paint needed

p = 34.64 / 8

p = 4.33

Must round up

p = 5 liters

Tins needed

t = 5/2

t = 2.5

must round up

t = 3

Cost

since 1 is free with 2 will pay for 2

c = 11 * 2

c = 22

£22

pls help quickly!! :(
what is the surface area of the right cone below?

Answers

Answer:

B.

Step-by-step explanation:

Answer:

D, 143.

Step by step explanation:

Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.

Answers

Step-by-step explanation:

The given equations are :

-x+6y = 16 ...(1)

8x-6y = -2 ...(2)

The y-variable will be eliminated when adding the system of  equations.

Adding equations (1) and (2).

-x+6y+8x-6y = 16+(-2)

7x = 14

x = 2

Put the value of x in equation (1).

-2+6y = 16

6y = 16+2

y = 3

There is only one solution to the system of equations i.e. (2,3).

what do you call a french pimple

Answers

Answer:

bouton

Step-by-step explanation:

‘Bouton’ I’m pretty certain , when I was doing my gcse french this word came up :)

Given a right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 24 and DC = 6, what is the length of BC?

Answers

Answer:

BC = 12

Step-by-step explanation:

BD is the altitude, it breaks ΔABC into two similar triangles:

ΔABD ~ ΔBCD

The ratios of corresponding sides:

AD/BD = BD/DC ⇒ BD² = AD*DC ⇒ BD² = (24 - 6)*6 ⇒ BD² = 108

On the other hand:

BC² = BD² + DC² ⇒ BC² = 108 + 6² = 144 BC = √144BC = 12

what is the average of 4741, 4261, 4628?

Answers

Answer:

4628

I hope it will help you all

find the vaule of a in ax+by=c

Answers

Answer:

a=[tex]\frac{c-by}{x}[/tex]

Step-by-step explanation:

To find a, we need to change the equation so a is the variable that is left by itself. So...

ax+by=c   Get rid of anything else besides the x and its coefficient.

   -by -by

ax=c-by    Because a has to be completely isolated, get rid of its coefficient.

/x   /x

a=[tex]\frac{c-by}{x}[/tex]

Hope this helps and have a great day :D

Answer:

[tex]a x + by = c \\ ax = c - by \\ \frac{ax}{x} = \frac{c - by}{x} \\ a = \frac{c - by}{x}[/tex]

a rack bought for rs.8000 and sold at 15% loss, find selling price​

Answers

Answer:

Rs 6800

Step-by-step explanation:

Hope this helps

X + 6 > 18
Please help and show work if can.

Answers

Answer:

x > 12

Step-by-step explanation:

[tex]x+6->18-6\\=>x>12[/tex]

That's it for the workout. Hope it helps.

Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .

Answers

Answer:

21

Step-by-step explanation:

goes up by 7

Which is the graph of the system x + 3y > -3 and y < 1/2x + 1

Answers

Answer:

4th graph

Step-by-step explanation:

x + 3y > -3

3y > -x - 3

y > -(1/3)x - 1

Blue Line

y < 1/2x + 1

Orange Line

y- intercepts = -1 and 1

If the abscissa of a point is negative , then in which all quadrants the point can lies?

Answers

Answer:

The point can either lie on the second quadrant or the third quadrant

Step-by-step explanation:

Mathematically, we have the ordinate and the abscissa

The ordinate represents the y axis while the abscissa represents the x axis value

For the abscissa to be negative, it means we are talking about the negative x axis

Now, the y axis can either be positive or negative too

When it is positive , we are referring to the point lying on the second quadrant

when it is negative, we are referring to the point lying on the third quadrant

Work out the area of a rectangle with base, b = 14mm and perimeter, P = 36mm.​

Answers

Step-by-step explanation:

perimeter = 2(lenth + base)

perimeter-2b = 2(length)

Area=length×breadth

Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L

Answers

Answer:

That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3

x+7=2(x-15) solve for x

Answers

Answer:

x = 37

Step-by-step explanation:

x+7 = 2(x-15)

x+7 = 2x-(2*15)

x+7 = 2x-30

7+30 = 2x-x

37 = x

So, the answer is x = 37.

Can anyone help with this question please? Will mark brainliest :)

Answers

Answer:

A = 15x^2 +11x+4

Step-by-step explanation:

can we assume you want the area...

A = 1/2 (B1+B2) h

A = 1/2(10x +4)(3x+2)

A= 1/2(30x^2 +22x+8)

A = 15x^2 +11x+4

: Cho tam giác ABC vuông tại C, trong đó AC = 0,9m, BC = 1,2m. Tính các tỉ số lượng giác của góc B, từ đó suy ra các tỉ số lượng giác của góc A.

Answers

Answer:

Step-by-step explanation:

Vì tam giác ABC vuông tại C nên ta áp dụng định lí pitago=> AB²=AC²+BC²=0.9²+1.5²=3.06=>AB= (3 căn bậc hai của 34)/10

sin B=AC/AB=(3 căn bậc hai của 34)/34

cos B=BC/AB

tan B= AC/BC

cot B= BC/AC

Tương tự suy ra tỉ số lượng giác góc A

If 1 is added in numerator and denominator then a fraction changes to 4. If 1 is subtracted from the numerator and denominator, fraction changes to 7. Numerator of the fraction is

Answers

Answer:

N=15

Step-by-step explanation:

N=numerator

D=denominator

(1+N)/(1+D)=4

(N-1)/(D-1)=7

(1+N)=4(1+D)

N=4D+3

(4D+3-1)/(D-1)=7

4D+2=7(D-1)

4D-7D=-2-7

D=-9/-3=3

N=4D+3=15

Can someone help me please

Answers

Answer:

Yes what is the question?

Step-by-step explanation:

Answer:

What is the question?

Step-by-step explanation:

Please help I’ll give brainliest

Answers

Answer:  A, 4^4

Step-by-step explanation:

4^7/4^3 = 4^4

Answer:

[tex]4^{4}[/tex]

Step-by-step explanation:

Rewrite the division as a fraction.

[tex]\frac{4^{7} }{4^{3} }[/tex]

Cancel the common factors.

[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]

[tex]4^{4}[/tex]

Hope this helps!

Reach out to me if you need more help with these types of problems.

Help !!! Hurry I do not know the answer

Answers

Answer:

wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to

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