The HCF of two numbers is 20. The LCM of both numbers is a multiple of 14. One number is greater than the other, work out the smallest possible numbers

Answers

Answer 1

Answer:

20

Step-by-step explanation:

Given that the HCF of two numbers is 20 and the LCM of both numbers is a multiple of 14.

So, the LCM of both numbers = 14n where n can be any natural number.

As HCF of two numbers is always smaller than or equal to the smallest number among both the numbers.

Here, the HCF of two numbers is 20, so the smallest number is greater than of equal to 20.

Hence, the smallest possible number is 20.


Related Questions

4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *

Answers

48/4 = $12 per ticket
12 * 11 = $132
It would cost $132 for 11 tickets

Answer:

4 tickets =$48

1 ticket = $48/4

= $ 12

11 tickets =11*$12

= $132

Whoever answers gets brainlist!

Answers

Answer:

B

Step-by-step explanation:

Answer:

The height is 4 Ft.

Step-by-step explanation:

9*4=36

9 ft*4 ft=36 Ft.

Hope this helps

************************

Answers

Answer: I think i my be wrong but i thing its B

Step-by-step explanation:

write an equation of the line with a slope of 2 and a y-intercept of 5

Answers

Answer:

y= 2x + 5

Step-by-step explanation:

Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Hint: Distance equals rate times time. (d = r t)

Answers

Answer:

it goes 4233 miles

Step-by-step explanation:

sorry if am wrong luv!

16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.

Answers

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm

write the first 5 composite numbers?​

Answers

Answer:

4, 6, 8, 9, 10, 12, 14, 15, 16

Step-by-step explanation:

"The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table. Note that the number 1 is a special case which is considered to be neither composite nor prime."

hope this helps :)

A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. adults S and ask them how they feel about raising the Medicare eligibility age from 65 to 67. Find the probability that the number who oppose raising the age is (a) at least 65, (b) exactly 50, and (c) more than 60, and (d) identify any unusual events. Explain.

Answers

Answer:

0.477%

6.55%

5.05%

Event in question (a)

Step-by-step explanation:

Given that:

p = 0.67 ; n = 80

Using Normal approximation :

Mean (m) = np = 80 * 0.67 = 53.6

Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057

probability that the number who oppose raising the age is

(a) at least 65

65 - 0.5 = 64.5 = x

Z = (x - m) / s

Z = (64.5 - 53.6) / 4.2057 = 2.592

P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)

(b) exactly 50

x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5

Z = (50.5 - 53.6) / 4.2057 = - 0.737

Z = (49.5 - 53.6) / 4.2057 = - 0.974

P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)

0.23056 - 0.16503 = 0.06553

(c) more than 60, and (d) identify any unusual events

x = 60 + 0.5 = 60.5

Z = (60.5 - 53.6) / 4.2057 = 1.64

P(Z > 1.64) = 0.0505

D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%

A survey of us adults found that 11% think that congress is a good reflection of american views. you rnadomly select 35 us adults and ask them whether they think tha tocngress is a good reflection of american views.
Find the probability that the number who say yes is (a) exactly 8, (b) at least 10, and (c) less than 5, and (d) identify any unusual events. Explain.

Answers

Answer:

C) Less than 5

Step-by-step explanation:

First you find 11% of 35

35 x .11 = 3.85

3.85<5

Therefor- it's less than five. No idea if that was the question but uh- that's what I understood from it. TwT

After one week of meals, the bottle of ketchup contains 25% of its original amount. How many ounces are in the bottle after one week?

Answers

Answer:

25/7 I think not sure though

Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 25% chance, if he loses the first game, he will win the second game with 75% chance. The winning prices for the first and second game are $1 and $2 respectively
A. What is the probability that he wins the second game?
B. If he wins the second game, what is the probability that he also won the first game?
C. What is the expected value for the price he wins from the two games? What is the variance of it?

Answers

Answer:

1) the probability that he wins the second game is 0.45

2) the probability he wins the first game given that he won the second game is 0.333  

3) Expected Value is $ 1.5 and the variance is 0.75

Step-by-step explanation:

Given the data in the question;

Let Win1 represent first game victory

and Loss1 represent first game loss

Let Win2 denote second game victory

and Loss2 denote second game loss

now from the Tree diagram of Daniel;

P ( Win1 ) = 0.6

P ( Loss1 ) = 0.4

P ( Win2 | Win1 ) = 0.25

P ( Loss2 | Win1 ) = 0.75

P ( Win2 | Loss1 ) = 0.75

P ( Loss2 | Loss1 ) = 0.25

1) probability that he wins the second game will be;

P ( Win2 )  =  [P ( Win1 ) × P ( Win2 | Win1 )] + [P ( Loss1 ) × P ( Win2 | Loss1 ) ]

we substitute

= [0.6 × 0.25] + [0.4 * 0.75] = 0.45

Therefore the probability that he wins the second game is 0.45

2)

If he wins the second game, what is the probability that he also won the first game  will be;

{From Bayes' Theorem}

P ( Win1 | Win2 )  =  P ( Win1 ) × P ( Win2 | Win1 ) / P ( Win2 )

= 0.6 × 0.25 / 0.45 = 0.333  

Therefore the probability he wins the first game given that he won the second game is 0.333  

c)

winnings       probability

$0                  0.4 × 0.25 = 0.1

$1                   0.6 × 0.75 = 0.45

$2                  0.4 × 0.75 = 0.3

$3                  0.6 × 0.25 = 0.15

so Expected Value = ∑( winnings × individual win probability)

=  (0 × 0.1) + (1 × 0.45) + (2 × 0.3) + (3 × 0.15)

= 0 + 0.45 + 0.6 + 0.45

= $ 1.5

Variance = ∑( X² ) - (∑(X))²

∑( X² ) = Summation of ( Winnings² × Probability of Each Win )

so

Variance = 0 × 0 × 0.1 + 1 × 1 × 0.45 + 2 × 2 × 0.3 + 3 × 3 × 0.15 - ( 1.5 )²

Variance = 0 + 0.45 + 1.2 + 1.35 - 2.25

Variance = 3 - 2.25

Variance = 0.75

Therefore Expected Value is $ 1.5 and the variance is 0.75

Car X travels 186 miles and 3 hours right the equation of the line that describes the relationship between distance and time

Answers

Answer:

Y=62x

Step-by-step explanation:

The equation of the line that describes the relationship between distance and time is (y = 62x) and this can be determined by using the definition of speed.

Given :

Car X travels 186 miles and 3 hours.

The following steps can be used to determine the equation of the line that describes the relationship between distance and time:

Step 1 - Let the total distance covered by car X be 'y' and the total time taken by car to cover that distance be 'x'.

Step 2 - The speed is given by the ratio of distance to time.

[tex]\rm Speed = \dfrac{Distance }{Time}[/tex]

Step 3 - Now, put the value of distance and time in the above equation.

[tex]\rm Speed = \dfrac{y}{x}[/tex]   ---- (1)

Step 4 - According to the given data the speed is given by:

[tex]\rm Speed = \dfrac{186}{3} = 62\; miles/hour[/tex]

Step 5 - Now, put the value of speed in equation (1).

[tex]\dfrac{y}{x}= 62[/tex]

y = 62x

The equation of the line that describes the relationship between distance and time is (y = 62x).

For more information, refer to the line given below:

https://brainly.com/question/23774048

Derek has 4 shirts, 7 pairs of pants, and 3 blazers. How many possible outfits can he make?

Answers

he can make 84 outfits. 4•7•3=84 i’m not sure if that’s the answer but i hope this helps:)

In order to redress a gender imbalance in its workforce, a company needs to appoint men and
women in the ratio 4:5. Over the next year 90 new jobs are expected to be advertised. How many
of the appointees should be men, and how many women?

Answers

Answer:

40 men 50 women

Step-by-step explanation:

4/9 should be men, 5/9 should be women.

Help me pleaseee jesussss (10 points )

Answers

use the 30, 60 thing. the side across from 30 is a. in the first triangle the angle we aren’t given is 30 so we know a is 5. the side across from angle 60 is a root 3. so in the first triangle we know that the side is 5 root 3. and there u can just use SAS

_______ is the lowest point in a particular section of the graph.

A. relative maximum
B. relative minimum
C. absolute maximum
D. absolute minimum ​

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. relative minimum

Step-by-step explanation:

This is because a relative minimum is a point where decreasing turns to increasing, but an ABSOLUTE minimum is a point where the line cannot go any lower, whatsoever.

Stephanie needs to cover her yard with 410taft2of soil. She has enough for 125ft2in one bag and 65 ft2in another bag. How much more square feet of soil will she need covered?

Answers

Answer:

Stephanie needs 220ft² of more soil to cover the rest of her yard.

Step-by-step explanation:

First add the bags she already has:125ft²+65ft²+x=410ft² --> 190ft²+x=410ft²

Second use the subtraction property of equality: 190ft²-190ft²+x=410ft²-190ft² ---> x=220ft²

h(n)=3n-4 find h(-6)

Answers

Answer:

h(-6) = -22

Step-by-step explanation:

h(n) = 3n - 4

h(-6)= 3(-6) - 4

= -18 - 4

= -22

which transformation is shown here?​

Answers

pretty sure it’s rotation
Answer:
It is a Rotation.

Identify proportional relationships
Does the following table show a proportional relationship between the variables g and h?
g
3
6
9
9
36
81

Answers

Answer:

sure easy man the carrot is blue and green and orange there naswer soled

Find the value of the variable.

Answers

X= 4. You get this by setting the two equations equal to each other and isolating the variable and the constant.

I need help it’s due in 20 min:(

Answers

Orange to the left column in the South Pole next to the whale

Answer:

A) DF= 11

B) JH= 13.6

C) GJ= 23.6

D) m∠F= 105

E) m∠G= 34

F) m∠J= 41

Step-by-step explanation:

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Answers

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Sam is baking 10 pies for a school bake sale. He
uses 21 cups of apples for 6 pies. How many
cups of apples will he need in all? Explain

Answers

Answer:

Step-by-step explanation:

21/6 = 3.5. This means each pie requires about 3.5 cups of apples. So, 3.5x10 = 35 cups of apples needed overall

Answer:

35 cups of apples

Step-by-step explanation:

There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.

Part A: Set up a system of equations.

Solve the system of equations algebraically. SHOW ALL WORK!


How many adults attended? How many children attended?

(i need it asap pleaseeeee)

Answers

100$ don’t trust me thought lol

Collins Middle School has 245 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school

Answers

Answer:

700

Step-by-step explanation:

help please! will mark brainliest!!

Answers

9514 1404 393

Answer:

  x = 7.5

Step-by-step explanation:

The parallel lines divide the transversals proportionally, so we have ...

  x/5 = 6/4

  x = 5(6/4) . . . . multiply by 5

  x = 7.5

help please and thank you

Answers

Answer:

43

Step-by-step explanation:

your welcome. hope this helps u, if not im sorry

-27+ 20w=73? plsssssssssssssssssssssssssssss

Answers

Answer:

w = 5

Step-by-step explanation:

-27 + 20w = 73

add 27 to both sides

-27 + 27 + 20w = 73 + 27

20w = 100

divide both sides by 20

20w/20 = 100/20

w = 5

The Answer is: w = 5.

Which of the binomials below is a factor of this trinomial?
4x² + 12x + 9

Answers

Factor: 4x^2+12x+9
=2x+3 so it’s A
You have solve the equation out


The factor of the equation 4x² + 12x + 9 is 2x+3. Then the correct option is A.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The factor of the polynomial is calculated as:-

4x² + 12x + 9 = 4x² + 6x + 6x + 9

                     = 2x ( 2x + 3 ) + 3 ( 2x + 3 )

                     = (2x + 3)(2x + 3)

The factor is (2x + 3). Hence, the correct option is A.

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ2

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