The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.

Answers

Answer 1

Given:

The LCM of two numbers is 14 times their HCF.

The sum of LCM and HCF is 600.

One number is 280.

To find:

The other number.

Solution:

Let HCF of two numbers be x.

The LCM of two numbers is 14 times their HCF.

LCM = 14x

The sum of LCM and HCF is 600.

[tex]14x+x=600[/tex]

[tex]15x=600[/tex]

[tex]x=\dfrac{600}{15}[/tex]

[tex]x=40[/tex]

So, HCF = 40 and the LCM is

[tex]LCM=14(40)[/tex]

[tex]LCM=560[/tex]

We know that, if a and b are two numbers, then

[tex]a\times b=LCM(a,b)\times HCF(a,b)[/tex]

One number is 280.

[tex]280\times b=560\times 40[/tex]

[tex]b=\dfrac{560\times 40}{280}[/tex]

[tex]b=2\times 40[/tex]

[tex]b=80[/tex]

Therefore, the other number is 80.


Related Questions

PLEASE HELPPPPPPPP
Solve for p.

–5 = –(p − 5) + –1

p =

Answers

Answer:

9

Step-by-step explanation:

-5= -p+5-1

-5= -p+4

-9=-p

p=9

if my answer helped please mark as brainliest.

Answer:

p = 9

Step-by-step explanation:

-5-((-p-5)-1)=0

Subtract  1  from both sides of the equation :

                     p = 9

A circle has a radius of 6x9y5cm. What is the area of the circle in square centimeters?
12πx11y7
12πx18y10
36πx11y7
36πx18y10

Answers

Answer:The answer is the second option: 36πx^18y^10

Step-by-step explanation:

To solve this exercise, you must follow the proccedure below:

1. You have that:

- The formula for calculate the area of the circle is: A=πr² ("r" is the radius of the circle).

-The problem says that the circle has a radius of 6x^9y^5 (r=6x^9y^5)

2. When you substitute r=6x^9y^5 into A=πr², you obtain:

A=πr²

A=π(6x^9y^5 cm)²

3. By applying the exponents properties, you have:

A=36πx^18y^10 cm²

help me with this please​

Answers

Answer:

44 cm²

Step-by-step explanation:

Ar(big rect.) = (4+4)×(4+3)

= 8×7

= 56

Ar. of small rect. = 4×3 = 12

Area of X = 56-12

= 44 cm²

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. If it continues to fall at this rate, find each indicated temperature.

Answers

Answer:

-6°C

-15°C

 -1.5°C

Step-by-step explanation:

The computation is shown below:

in one hour the temperature falls by 3°C i.e.

= 0 - 3

= -3°C

In  two hours

= 2 ×  - 3°C

= -6°C

In  five hours

= 5 × -3°C

= -15°C

in half an hour

= 0.5 × -3°C

= -1.5°C

Help please, 20 points! Which inequality represents the values of X that ensure triangle ABC exists?

Answers

Answer:

C.

Step-by-step explanation:

The inequality 1< x <5 represents the X values that ensure triangle ABC exists. The value of x is between 1 and 5.

How to find side of triangle ?

This free triangle calculator computes the edges, angles, area, height, perimeter, median, and other values, as well as a triangle diagram.

When attempting to find the hypotenuse, we use our two known sides as a and b. It makes no difference which leg is a and which is b. Then we solve for c by squaring a and b and taking the square root of both sides.

Pythagoras theorem: If the sides of a right triangle are hypotenuse, perpendicular, and base, then the square of the hypotenuse side is equal to the sum of the squares of the base and perpendicular.

If leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)If leg b is unknown, then. b = √(c² - a²)For hypotenuse c missing, the formula is. c = √(a² + b²)

For given triangle,

AB + BC = AC

2x + 4 + 6x > 18

8x > 18 - 4

4x >7

AC + AB > BC

18 + 2x + 4 >6x

22 > 6x-2x

22 > 4x

22 > 4x >7

Inequality which ensure triangle exists is 22 > 4x > 7.

To learn more about side of triangle refer :

https://brainly.com/question/24279384

#SPJ2

Please help! Will mark brainliest

Answers

Answer:

point A

Step-by-step explanation:

good thing to do.

Answer:

point E

Step-by-step explanation:

The square root of 335 is 18.3

335÷2=167.5

167.5+167.5=335

write down an expression for the nth term of the following sequence

5, 11, 17, 23, ...

Answers

Answer:

[tex]a_{n}[/tex] = 6n - 1

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence

d = 11 - 5 = 17 - 11 = 23 - 17 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 6 , then

[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1

6n-1
Because:
6n= 6,12,18,24
6n-1=6x1-1=5,6x2-1=11,6x3-1=17 and 6x4-1=23

Pls help I have no idea

Answers

Answer:

Step-by-step explanation:

If you connect the chord ends to the center you will see that you form a right triangle where:

[tex]r^2=16^2+\left(\frac{9x-15}{2}\right)^2\ and\ r^2=16^2+\left(\frac{7x+5}{2}\right)^2\\ \\

\text{From these equations we can see}\\ \\ (9x-15)^2=(7x+5)^2\\ \\ 9x-15=7x+5\\ \\ 2x=20\\ \\ x=10[/tex]

A multiple-choice test with 50 questions has five possible choices for each question. There are 4 marks for each correct answer, -1 mark for each incorrect answer, and 0 marks for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered questions?

Answers

Answer: 130 marks

Step-by-step explanation:

There are 4 marks for every correct answer and there are 4 marks for each correct answer:

= 35 * 4

= 140 correct marks

There are -1 marks for every incorrect answer and there are 10 incorrect answers:

= 10 * -1

= -10 marks

Total score = 140 - 10

= 130 marks

Answer:

130 marks

Step-by-step explanation:

equação de 1°grau resultado-2x+3=-1+x+2​

Answers

Answer:

2/3

Step-by-step explanation:

-2x+3=-1+x+2

-2x-x+3=-1+2

-3x+3=1

-3x=1-3

-3x=-2

3x=2

x=2/3

1
Looking at the angle relationship below, what is the value of x?
1
.
45°

Answers

Answer:

45

Step-by-step explanation:

They add up to 90, so 90 - 45 = 45 degrees

Ben earns a salary of $120 a week plus $25 for each table he sells at
the furniture store. He wants to earn at least $320 this week.

Please answerr

Answers

Answer:

add 25 each time and count how many times you add it on

Step-by-step explanation:

and that will be your answer

Ellie has a gift card to buy a new computer. She says the card’s value is not enough to buy any of the computers shown in the table.

Computer Model Cost
Brand A $324
Brand B $377
Brand C $413
Brand D $391

Let v be the value of the gift card. Drag numbers and symbols to complete an inequality that best describes the value of the gift card.

Answers

The lowest price of a computer is Brand A $324

The gift card has to be less than that.

The inequality would be: v < 324

pls help fast its urgent

Answers

Answer: -8

Step-by-step explanation:

3 - (-8) = 3+8

3+ 8=11

A polygon will be dislates on a coordinate grid to creat a smaller polygon. The polygon is dilated using the organ as the center of dilation. What rule could represent this dilation? A-(x,y) (0.5-x,0.5-y)

Answers

Answer:

The answer is "Choice D".

Step-by-step explanation:

Please find the complete question in the attached file.

It might indeed multiply that each coordinated throughout this question and construct a delay. In this question, The c instant of differentiation to go and get a smaller image is less than 1, and construct a smaller polygon, that polygon would be extended on even metering systems. Its polygon is distributed out by using the source as the dilation core.

what does 7 = 4 – 3x

Answers

Answer:

Can I be marked brainliest?

x = -1

Step-by-step explanation:

Switch it around

4 - 3x = 7

-3x + 4 = 7

Subtract 4 from both sides of the equation

-3x + 4-4 = 7-4

Simplify

-3x = 3

Divide both sides of the equation by the same term

-3x/-3 = 3/-3

x = -1

Answer:

-1

Step-by-step explanation:

 7=4-3x     Add like terms

-4  -4

3=-3x       Now divide

/3  /3

x=-1

a cinema has three screens last saturday there were 500 visitors

Answers

Yes very much so good job

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

Therefore, 175 visitors went to screen 3.

Step-by-step explanation:

Please help i will give brainliest

Answers

Answer:

-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8

Step-by-step explanation:

Answer:

-4.2

-3.5,

-2.1,

-1

-1.5

-0.5

1

3.5,

4.8

Step-by-step explanation: Please feel free to point out if I'm wrong or if I missed any (i did spaces so you could see easier, also from top to bottom is least to greatest)

1 Expand each expression
a 4(x+6)

Answers

Answer:

4x+24

Step-by-step explanation:

The correct answer is:

4(x+6)

4x + 24

Groundhog Day Puzzle

I’m hoping I can get a response before I head to sleep, but it’s alright if I don’t get a answer by then.

Answers

Answer:

Clouds = 19

Sun = 8

Groundhog in Hole = 32

Groundhog with hat + TV (TOGETHER they equal 13) = ANY two numbers whose sum is 13 (for example 7+6).

? = 416

I hope this helped! This was a challenging puzzle! I hope you have a nice day! (If it is possible can you give me a brainliest? I would really appreciate if you did!)

Sincerely,

Rekifromsk8theinfinity

:D

Fill in the blank with a number to make the expression a perfect square.
2
V
8v
2
+
x 5
?

Answers

Answer:

16

Step-by-step explanation:

Substituting 16 will make the expression valid and correct since the square of -4 is 16 and the addition of it is -8.

[tex]v^2-8v+16=(v-4)^2[/tex]

A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.
x + (2x + 40) + (3x – 50) = 15,002
The upper level has seats.

Answers

U, M, L are the seats in the upper, middle, and lower levels, respectively.
U+M+L = 15,002

L = 3U-50
M = 2U+40

Substitution:
U + (2U+40) + (3U-50) = 15,002
6U - 10 = 15,002
6U = 15,012
U = 2,502

Answer:

The correct answer is 2,502 seats

Step-by-step explanation:

hey what's
[tex] \sqrt{4 \sqrt{256} } [/tex]

Answers

Answer:

8

Step-by-step explanation:

√4√256

= √4 · 16

= √64

= 8

Hello :)

The answer you are looking for is 8

To help you with other questions like this look up calculator and put the question in there and it will give you the answer or use photomath!

Photomath works great :)

i hope you have a beautiful day <3 much love

~hailey lee~

Find x

4x^2-4=3x^2-3x

Answers

4

2

4

(

3

2

3

)

=

Answer:

Step-by-step explanation:

Triangle QRS has the angle measures shown.

What is the measure of the obtuse angle?

m2Q=(1x)

mZR= (3x)

m25 = (6x)

O 18

54

108

© 216

Answers

Answer:

108 degrees

Step-by-step explanation:

Given the following angle measures in triangle QRS

m<Q = 1x

m<R = 3x

m<S = 6x

Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees

The sum of angle in a triangle is 180 degrees

m<Q + m<R + m<S = 180

1x + 3x + 6x = 180

10x = 180

x = 180/10

x = 18

The obtuse angle is 6x

Measure of the obtuse angle = 6x

Measure of the obtuse angle = 6(18)

Measure of the obtuse angle = 108 degrees

Hence the measure of the obtuse angle is 108 degrees

b. After the 10th graduation
ceremony, how many total
graduates are there? Explain how
you determined your answer.

Answers

Answer:

chccucuxudhwhhwhsvahajw 10th g - ceremony

Find the area of the circle if r=13 ​

Answers

Answer:

530.93

Step-by-step explanation:

Answer:

a= 530.93 or the closest number to it...

Step-by-step explanation:

your welcome

find the following square by using the identities
[tex](2xy + 5y) {?}^{2} [/tex]

Answers

Answer:

4x²y² + 20xy² + 25y²

Step-by-step explanation:

(a + b)² =  a² + 2ab + b²

a = 2xy   ; b = 5y

(2xy +5y)² = (2xy)² + 2*(2xy) * (5y)  +(5y)²

                 = 2²x²y² + 2* 2* 5 * x*y*y + 5²*y²

                =4x²y² + 20xy² + 25y²

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-
axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?

Answers

Answer:

A. A = B and B = C

Answer:

A) A=B and B=C

Step-by-step explanation:

28+c=36 what is the value of c

Answers

Answer:

to find the value of c, isolate it.

28 + c = 36

c = 36 - 28

c = 8

now, to check:

28 + 8 = 36 ✓

28+c=36
-28 -28
subtract 28 to get c by itself

c= 36-28

c= 8

hope this helps!
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