Find the HCF and LCM of 160 and 252 by prime factorisation method and verify that HCF x LCM = Product of the two given numbers.

Answers

Answer 1

Answer:

HCF=4

LCM=10080

HCF x LCM = Product of the two given numbers is verified because 403200=40320

Step-by-step explanation:

HCF of 160 and 252

HCF is the product of common prime factors

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

HCF= 2x2

HCF=4

40 and 63 doesn't come in any other table together so,

HCF= 2 x 2 = 4

Now, finding LCM of 160 and 252

LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

In the given factors 2x2 is common so, it is considered once.

LCM= 2x2x2x2x2x3x5x7

LCM= 10080

Now, checking:

HCF x LCM = Product of the two given numbers.

4x10080=160x252

403200=40320

So, It is verified that HCF x LCM = Product of the two given numbers.


Related Questions

20 POINTS
PLEASE HELP!

Find the slope of the line that passes through the pair of points.
(4, –4), (6, –4)

Answers

Answer:

0

Step-by-step explanation:

You need to use formula for slope m= y2-y1/x2-x1
m= -4-(-4)/6-4= 0/2=0
So slope is 0

The force required to stretch a spring by 1 m from its unstretched length is 150 N. What is the force required to stretch the spring by 3 m? 450 N

200 N

600 N

300 N

Answers

Answer:

450 N.

Step-by-step explanation:

By Hooke's law

Force = k * displacement so

150 = k * 1

So k = 150 and the equation is

F = 150 d

So when d = 3

F = 150 * 3 = 450.

Is the ordered pair (2,4) a solution to the system of linear inequalities?

yes or no? ​

Answers

Answer:

yes

Step-by-step explanation:

PLEASE HELP DUE TODAYWhich of the following types of triangles have angles of equal measure?

Select one:
A. Scalene
B. Right
C. Equiangular
D. Isosceles

Answers

Answer:

Equaiangular

Step-by-step explanation:

think equal

A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth rate as a percent for that 15-year period?

Answers

Wym their was no growth rate it lost 53,500 in those 15 years at a rate of about 3,566 a year

F is the midpoint of EG If EF = x + 2 and FG = 2x - 6, find
FG

Answers

Answer:

FG = 10

Step-by-step explanation:

EF = x + 2 ; FG = 2x - 6

F is the mid-point of EG. So, EF = FG

[tex] = > x + 2 = 2x - 6[/tex]

[tex] = > 2x - x = 6 + 2[/tex]

[tex] = > x = 8[/tex]

FG = 2×8 - 6 = 10

Stacy is sending packages of candy to troops that are stationed overseas. Each package weighs the same amount, and each costs $13.87 to ship. She sends 3 packages in all. If Stacy gives the postal worker $45.00, how much change should she receive?

Answers

Answer:

$ 3.39

Step-by-step explanation:

X = 45 - (13.87*3)

x = 45 - 41.61

x = 3.39

Help Please and thank you

Answers

Answer:

2x + 3 = -7  ---> x = -5

4.5x - 7 = 20 ---> x = 6

-3x + 7 = 28 ---> x = -7

Step-by-step explanation:

2x + 3 = -7

2x = -10

x = -5

4.5x - 7 = 20

4.5x = 27

x = 6

-3x + 7 = 28

-3x = 21

x = -7

Which pair of triangles below can be shown to be similar using AA similarity?

350
700
890
67°
7670
249
1640
490
750
820
630
54°

Answers

The second option shows AA symmetry.
The angles of a triangle have to add up to 180. When adding the given angles, you will find that the missing angle is equal to what is given in the other triangle.
An example is how in the second option’s triangle, the two given number add up to 91. 89 is needed to make it equal 180 and 89 is in the same position is the first triangle.

Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.

What is similarity?

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

How to check similarity of triangle?

In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.

To check AA similarity we have to check whether two angles are equal in two triangles to be similar.

Learn more about similarity at https://brainly.com/question/24184322

#SPJ2

1. 6x+4x−1=2(5x+4)
2. 48x+43=47x+43
3. 2(3x+8)=2x+16+4x
4. 0.4(5x−15)=2.5(x+3)
5. 3(4x+2)=20x−9x+2

Answers

Answer:

1 . -9   =  0

2 .  x = 0

3 . 0  = 0

4 .x = -27

5 .  x = -4

Step-by-step explanation:

What is the equation, in slope-intercept form, of a line that passes through the points (-2, 4) and (3, -1)?

Answers

Answer:

Step-by-step explanation: The equation of the line passing through the points (2, –1) and (5, –10) is y = -3x + 5 .Jun 9, 2017

PLEASE HELP WILL GIVE BRAINLIEST.
The line y=-3x - 8 is graphed below. What additional line would create a system of equations with a solution of (-4,4)?
Answer
A y = 2x + 10
By= 3x + 1
C y = 3x - 9
Dy - 3x + 6

Answers

Answer:

Choice D

Step-by-step explanation:

For this one I would find if the point lands on the line.

Choice A:

What we have to do is to plug in -4 for x and 4 for y.

[tex]y=2x+10\\(4)=2(-4)+10\\4=-8+10\\4\ne2[/tex]

The point is not on this line so this cannot be it.

Choice B:

We pug what we know again.

[tex]y=\frac{1}{3}x+1\\(4)=\frac{1}{3}(-4)+1\\(4)=-\frac{4}{3}+1\\4\ne-\frac{1}{3}[/tex]

The point is not on this line so it can't be it.

Choice C:

We pug in what we know again.

[tex]y=3x-9\\(4)=3(-4)-9\\(4)=-12-9\\4\ne-21[/tex]

The point is not on this line so it can't be it.

The next one has to be it, but we'll check it just in case.

Choice D:

We plug in what we know again.

[tex]y= \frac{1}{2}x+6\\(4)=\frac{1}{2}(-4)+6\\(4)=-2+6\\4=4[/tex]

The point is on this line so this is the line.

write a linear function with f with f (5) = -1 and f (0) = -5

Answers

Answer:

5y = 4x-25

Step-by-step explanation:

Let f(x) be regarded as y

So we have two points

(5,-1) and (0,-5)

We start by finding the slope of the line connecting the two points

m = y2-y1/x2-x1

m = -5+1/0-5 = -4/-5 = 4/5

The general equation of a straight line is;

y = mx + b

where m

is slope and b is the y-intercept

we already have the slope as 4/5

So;

y = 4x/5 + b

To get b, substitute one of the points

Let us use (0,-5)

-5 = 4(0)/5 + b

so b = -5

The equation is;

y = 4x/5 - 5

Multiply through by 5

5y = 4x - 25

Original Grade: 80
New Grade: 100
Find The Percent Of Increase
?%
I really need to know

Answers

Answer:

20%

Step-by-step explanation:

20% obviously lol come on it’s easy haha

8x – 12y = 48
Find the x-intercept and y-intercept

Answers

Answer:

my answer came out to x = 6 + 1.5y

Step-by-step explanation:

steven has 5 more marbles than jon has, suppose s is the number of marbles that steven has, and j is the number of marbles that jon has. a. write an equation to describe how many marbles steven has. b. write a different equation to describe how many marbles jon has.

Answers

a. j+5=s (because steven has five more than jon)
b. s-5=j (because jon has five less than steven)

A system of linear equations is shown below.
S px +qy = -5
\px – qy = –25
What values of p and q will make the coordinate point (-3,5)
a solution to the system of equations?
A. -5 and 2 B. – 5 and 2
C. 4 and
D. 5 and 2
1
5
16. A-REI.4.12 Given the following system of inequalities, whi
3x –

Answers

Answer: D.5 and 2

because (-3;5) is a solution to the system of equations

[tex]\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\<=>\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\<=>\left \{ {{p=5} \atop {q=2}} \right.[/tex]

Step-by-step explanation:

may someone plz answer this​

Answers

Answer:

At least 2 weeks

Step-by-step explanation: You divide until you reach 200

You weigh a gallon of liquid in science class and learn that it is approximately 7.3 pounds. You pass the liquid to the next group, and then realize that your teacher wanted an answer in kilograms, not pounds. Complete the explanation of how you can adjust your answer without weighing the liquid again. Then give the weight in kilograms. If necessary, round your answer to the nearest tenth.

Answers

Answer:

3.3 kg

Step-by-step explanation:

1 pound = 0.453592kilogram

so you just need to 7.3*0.453592= 3.3kilograms

what does nani mean?

Answers

Answer:

Nani means what in japanese.

Step-by-step explanation:

I am a anime weeb lol

Please HELP ASAPAPPPP!!?!!??

Answers

Answer:

36 - 18 longest side = 18

Step-by-step explanation: This would mean both sides are 18.

Plz help im on a timer ​

Answers

Answer: In point-slope form it's y-2=2/3(x-1)

Since you're on a timer I didn't put a explanation if you want a explanation I can put it into this answers comment.

I need help finding the missing lengths

Answers

Answer:

what missing lengths il try to help. the answer is 5/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

this missing is watch a video about it

Mass = 10 g

Density = Mass/volume

Volume of a cube = (side length)3

Now that you have the side length, determine the volume. Then use the density formula to calculate the density of the material. Record your observations by selecting the data table icon.

You may use a calculator for this section.

Measurement1.7 cm



FIRST ANSWER GETS BRAINLIEST

Answers

Answer:Hello! Here we have a cube, with a mass of 10g and a side length of 2.5cm.

First we want to determine the volume.

The volume of a cube, is equal to his cubic side length, where  L is the side length:

So  

So the volume of the cube is 15.625 cubic centimeters.

Now we want to calculate te density of the material, as you know:

This means that the density is 0.64 grams per cubic centimeter.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1. Determine the value: V=L^3

so, (1.7)^3= 4.913

2. Calculate the density: mass divided by volume

10 divided by 4.913= 2.0

Answer: 2

what is the difference of 2/4 and 1/3?​

Answers

Answer:

2/4-1/3= 6/12-4/12

=2/12

=1/6

1/6 should be your answer because you get 2/12 but you have to simplify

Can you please help
Plzzzzzz

Answers

a fraction is a numerator over a denominator
a mixed number is a whole number and a fraction
an improper fraction is when the numerator is greater than the denominator

what is a linear equation that contains these points?​

Answers

B. It can be written in the following form: y=7+0*x so for any value of x, y would be 7

Im really bad at negative numbers someone please help!
Order [-25] [18] [-1] [26] from greatest to least.
The correct order is.....

Answers

Answer:

26, 18, -1, -25

Step-by-step explanation:

for easier understanding just draw a number line with integers for easier clarification.

... -5, -4, -3, -2, -1, 0, 1, 2 , 3 , 4 ...

26,18,-1,-25 is the answer from greater to least

A(3,5) (x,y)->(x+2, y-4) What are the coordinates of A?​

Answers

someone help me please

Suppose that three out of five voters support a candidate. If 1,240 voters support the candidate, how many voters participated in the election in all? Round your answer to the nearest whole number.

Answers

Answer:

2067 voters

Step-by-step explanation:

Suppose that three out of five voters support a candidate.

This means 3/5 votes support a candidate

Let the total number rod candidates be represented as x

If 1,240 voters support the candidate,

how many voters participated in the election in all?

Hence,

3/5 of x = 1240 voters.

3/5 × x = 1240

3x /5 = 1240

Cross Multiply

3x = 1240 × 5

x = 1240 × 5/3

x = 2066.6666667 voters

Approximately to the nearest whole number:

2067 voters

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