A pair of numbers has an HCF (Highest Common Factor) of 7 , and an LCM (Lowest Common Multiple) of 42 . What is the pair of numbers

Answers

Answer 1

Answer:

14 and 21

Step-by-step explanation:

This is not an easy question, but luckily we can have an idea to solve this.

In this case, we need to apply the relation between HCF and LCM, which is the following:

HCM * LCM = Number 1 * Number 2

In other words, the multiplication of both factors is equal to the multiplication of the given numbers that we are looking for. Now, we do not know the numbers but we can have an idea of which numbers can be when we calculate the product of the factors:

HCM * LCM = 42 * 7 = 294

We know that the products should result 294, and if the HCM is 7, means that both numbers can be divided by 7 as the highest factor, so, let's write the multiple of 7:

Multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70

With these we can have an idea, if 42 * 7 = 294, all we just need is to find others two numbers that the result gives 294:

14 * 7 = 98

14 * 21 = 294

14 and 21 could be the numbers, but let's confirm writting their multiples

HCM of 14: 1, 2, 7, 14

HCM of 21: 1, 3, 7, 21

LCM of 14: 14, 28, 42, 56, 70

LCM of 21: 21, 42, 63, 84

As you can see, The HCM and LCM of 14 and 21 are 7 and 42, therefore the pair of numbers are:

14 and 21

Hope this helps


Related Questions

4. The apples bought by Neetu was of weight 3 ¾ kg and the apples bought by Naren was of weight 2 ½ kg. Who bought more apples and by how much more did it weigh?

Answers

Answer:

5/4kg

Step-by-step explanation:

Given data

Weight of apples bought by Neetu=  3 ¾ kg

Weight of apples bought by  Naren=  2 ½ kg

From the numbers/weights above, Neetu bought more apples

=3 ¾ kg to simple fraction

= 15/4 kg

=2 ½ kg kg to simple fraction

= 5/2 kg

The difference is

=15/4-5/2

=15-10/4

= 5/4kg

Hence  Neetus Apples is 5/4kg morethan Narens Apples

There are 37 empty seats and 13 occupied seats on a train. What percentage of the seats on the train are empty?

Answers

Answer:

92.5%

Step-by-step explanation:

find the unknown angles. QRT and SRV are congruent

Answers

Answer:

52

Step-by-step explanation:

so all of the angles added together will equal 180 and if angle qrt and angle srt are congruent then they are equal to each so first we subtract 76 from 180 and get 104. then we divide it by 2 because the two missing angles are congruent. 104/2=52 so h and j =52

All organisms are made of cells. __________

Is it a fact,hypothesis,theory,or law

Answers

Answer:

fact

Step-by-step explanation:

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

Does anybody know the answer to this problem?

Answers

Answer: 5

Step-by-step explanation:

Answer: 6.25 feet

Step-by-step explanation: Hope this helps!

-zomba

An hour before show time, only 105 people have arrived to the concert. According to the statistics, 95% of the people have yet to arrive. How many tickets were sold for the concert?

Answers

Answer: 2,100 tickets

Step-by-step explanation:

105 people have arrived for the concert yet it is said that 95% of people are yet to arrive. This means that the 105 people are 5% of the tickets sold.

Assume the total number of tickets sold is x:

5% * x = 105

0.05x = 105

x = 105 / 0.05

x = 2,100 tickets

Answer:

2100

Step-by-step explanation:

x= 2,100

5% x = 105

0.05x = 105

x = 105/0.05

PLEASE HELP ME ITS DUE IN 30 MINUTES
Which expressions are equivalent to a^b/c?

Select all correct answer choices.

Answers

Answer:

c√a^b the first option is the correct one

Devide. Reduce to lowest terms 3/8 1/7

Answers

2 5/8 or 21/8. Use the Keep Change Flip method. Change the sign to multiplication and flip the second fraction.
Multiply the numerators and the denominators separatley.
This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).

A TV and Washing machine were purchased for Rs 15000 each. If together, they are sold at Rs 35000, What is Profit and Profit%

Answers

Given:

A TV and Washing machine were purchased for Rs 15000 each.

Together, they are sold at Rs 35000.

To find:

The profit and profit%.

Solution:

A TV and Washing machine were purchased for Rs 15000 each. So, the total cost price is

[tex]C.P.=15000+15000[/tex]

[tex]C.P.=30000[/tex]

Together, they are sold at Rs 35000. So, the selling price S.P. is 35000.

Now,

[tex]Profit=S.P.-C.P.[/tex]

[tex]Profit=35000-30000[/tex]

[tex]Profit=5000[/tex]

And,

[tex]Profit\%=\dfrac{Profit}{C.P.}\times 100[/tex]

[tex]Profit\%=\dfrac{5000}{30000}\times 100[/tex]

[tex]Profit\%=\dfrac{50}{3}[/tex]

[tex]Profit\%\approx 16.67[/tex]

Therefore, the profit is Rs. 5000 and the profit percent is 16.67%.

PLEASEEE HELPPPPPP THIS IS DUE SOON

Answers

21.0

pls mark me in brainliest

PLEASE IVE POSTED THIS FOUR TIMES CAN SOMEONE PLEASE HELP ME WRITE AN EQUATION FOR THIS! I GIVE BRAINLIST!

Answers

Answer:

y= -2/3x-3

Step-by-step explanation:

y = -2/3x - 3. -2/3 is the slope and -3 is the y intercept.

2) In a geometric sequence, a3 = 128, a4 = 64, and a5 = 32. What is a10?
PLZ HURRY UP NO TIME

Answers

Answer:

1

Step-by-step explanation:

As the value of a goes up, the numbers are being divided by 2.

a3 = 128

a4 = 64

a5 = 32

a6 = 16

a7 = 8

a8 = 4

a9 = 2

a10 = 1

The store's rectangelar floors is 42 meters long and 39 meters wide how many square meters of flooring do they need

Answers

Answer:

They need 1,638 m^(2) of flooring

Step-by-step explanation:

simplificar 55-56 entre 4×2+82×3​

Answers

Answer:

Step-by-step explanation:

this awnser is 73 92 837

Help with math please example 1

Answers

Answer:

I'm not very sure about this one what icing in probably not going to be right but what I think is that they're not the same because look at the size difference imagine putting an adult's next to a baby that's kind of what it's like the bigger quadrilateral is also the adults while the little one is the baby what do you think about that I probably think that they're not saying

Step-by-step explanation:

sorry I gave it to you in my answer

A bag contains 5 red marbles, 6 white marbles, and 4 blue marbles. Without looking, draw out a single marble. Find P(red and blue).

Answers

Answer:

9/15 or 60 percent

Step-by-step explanation:

98n^2-200 factoring special cases

Answers

Step-by-step explanation:

Factor 98n2−200

98n2−200

=2(7n+10)(7n−10)

Answer:

2(7n+10)(7n−10)

What is the arithmetic of the following numbers? 3, 5, 6, 7, 9, 6, 8

Answers

Answer: sorry pressed the wrong button

Step-by-step explanation:

✅Mean:

➡️Sum of total numbers/Total numbers

3+5+6+7+9+6+8 / 7

44 / 7 = 6.285

MARK ME AS BRAINLIST IF THE ABOVE ANSWER HELPS U♥️♥️♥️....

which ordered pair represents a point on the line y = 2x + 1

Answers

Answer:

(1, 3 )

Step-by-step explanation:

Choose any value of x, substitute into the equation for y

Choose x = 1 , then

y = 2(1) + 1 = 2 + 1 = 3

Then (1, 3 ) is an ordered pair on the line

HALP WHAT IS COMPUTER PLUS COMPUTER?

Answers

2Computer

Lololololol

i need help with dis oki

Answers

Answer:

15 mph

Step-by-step explanation:

You need to find how much each side of the table is changing each time and change that into a fraction. In this example, the change in time is .5 hours. Repeat with the other side to get 12.5 miles. Next you change it into a fraction with the distance over the time to get 12.5/.5. Type this into the calculator to get the answer which is 15 mph.

Someone help. You do not have to explain it

Answers

Answer:

x=0, y=3

x=5, y= 2

Step-by-step explanation:

The length of a rectangle is 5m longer than its width. If the perimeter of the rectangle is 54m, find its length and width.

Answers

Answer:

Width=11

Length=16

Step-by-step explanation:

P=2L+2W

54=2(5+w)+2w

Open the brackets

10+2w+2w=54

10+4w=54

Collect the like terms

4w=54-10

4w/4w=44/4

W=11

Since the length is 5m longer

Therefore:11+5=16

Width=11

Length=16

How many 1-inch cubes are needed to create a rectangular prism that is 6 inches long, 2 inches wide and 3 inches high

Answers

You need 36 1-inch cubes

Kevin is working two summer jobs, making $15 per hour tutoring and making $9 per
hour landscaping. In a given week, he can work a maximum of 15 total hours and
must earn at least $180. If x represents the number of hours tutoring and y
represents the number of hours landscaping, write and solve a system of inequalities
graphically and determine one possible solution.

Answers

Answer:

15x+9y≥180

y≥20− 5/3x

Kevin could work 12 hours tutoring and 2 hours landscaping.

Step-by-step explanation:

Suzie buys a salad for $6.35 on lunch. She bought a salad for $5.12 and a drink for x dollars. Which
equation can be used to solve for the price of the drink?

Answers

Answer:

6.35= 5.12+x

6.35-5.12= x

$1.23 =x

I would probably say about 11.47$

PLEASE HELP, very urgent. 50POINTSSSS

Answers

Answer:

#3 and 6 from what I can see are correct

Step-by-step explanation:

Please help! (Pythagorean theorem stuff)

Answers

Answer:

Pretty sure its 6

Step-by-step explanation:

The hypotenuse is double the length of the shortest side

In the figure below, find the exact value of y.

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

y is the geometric mean of the segment lengths.

  y = √(4·1)

  y = 2

_____

You can also get there by considering the similarity of the triangles:

  short side / long side = y/4 = 1/y

  y^2 = 4 . . . . . . . multiply by 4y\

  y = √4 = 2 . . . . take the square root

The base of a regular pyramid is a hexagon.

What is the area of the base of the pyramid?
Enter your answer in the box. Express your answer in radical form.

Answers

Answer:

Step-by-step explanation:

For the single triangle

sin60=h/14, h=14sin60

cos60=b/(2(14)), b/2=14cos60 so the total area is nhb/2 where n is the number of sides

A=n(14sin60)(14cos60), since n=6

A=6(14sin60)(14cos60)

A=114.75cm^2

The hexagon is divided into 6 equal triangles. Then the area of the base of the pyramid is 509 square cm.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The base of a regular pyramid is a hexagon.

The hexagon is divided into 6 equal triangles. Then the height of the triangle will be

[tex]\rm a = 14 \sin 60^o\\\\a = 12.12[/tex]

Then the area of the triangle will be

[tex]\rm Area \ of \ triangle = 0.5 \times 14 \times 12.12\\\\Area \ of \ triangle = 84.84 \ cm^2[/tex]

Then the area of the base of the pyramid will be

[tex]\rm Area \ of \ base \ pyramid = 6 \times Area \ of \ triangle\\\\Area \ of \ base \ pyramid = 6 \times 84.84\\\\Area \ of \ base \ pyramid = 509.04 \approx 509 \ \ cm^2[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

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