The L.C.M of two numbers is 2079 and their H.C.F. is 27. If one of the numbers is 297, then the other number is: ​

Answers

Answer 1

Step-by-step explanation:

2079 / 297 = 7

that is the first indication about what we need.

but 7 itself can't be the solution, because the solution needs to contain at least a factor of 27.

297 = 27×11

therefore,

2079 = 27×11×7

and the other number must now be

27×7 = 189

because due to the HCF it has to be divisible by 27, but must have another additional factor. a factor that allows it to divide 2079 without remainder, and makes it big enough to block any LCM lower than 2079.

there are only 2 other factors available in 2079 : 11 and 7.

297 has already "taken" 11, and the two numbers cannot be the same (otherwise the LCM and the HCF would be the number itself), so that leaves 7 for the other number.

hence the solution.

the other number is 189

and the other number must then be 27×7 = 189


Related Questions

The first side of a triangle of a triangle is 2 longer than the second side. The third side is 5 shorter than twice the second side. The perimeter is 49m. Find the length of each side.

Answers

Answer:

First side is 15 m.

Second side is 13 m.

Third side is 21 m.

Step-by-step explanation:

Let x be the second side of the triangle = x

The first side of a triangle is 2 longer than the second side = x + 2

The third side is 5 shorter than twice the second side. = 2x - 5

Perimeter = 49 m

The formula for finding the perimeter of triangle is:

P = a + b + c

Put the values in the formula

49 = x + x + 2 + 2x - 5

49 = 4x - 3

Use APE or Addition Property of Equality

49 + 3 = 4x

52 = 4x

Use DPE or Division Property of Equality to find the value of x

[tex]\frac{52}{4} = \frac{4x}{4}[/tex]

13 = x

Now put the value of x in the equation

First side( x + 2) = 13 + 2 = 15

Second side( x ) = 13

Third side (2x - 5) =

2(13) - 5

26 - 5

= 21

Hi, I need help with this question. Pls, explain your answer.
Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?
(1) linear (3) absolute value
(2) quadratic (4) exponential

Answers

Answer:

(4) exponential

Step-by-step explanation:

According to given, the function is:

A = P(1 + r)ⁿ

or

A = 500(1 + 3.5/100)¹⁰ = 500*1.035¹⁰

This is an exponential relationship

Correct choice is (4)

To determine the money Eric will have in his bank account, he needs to use an exponential function.

What is a compound interest?

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.

Here, S = sum of money after the total period of investment.

P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.

Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3

Hence, after 10 years, Eric will have $705.3 in his bank account.

Learn more about compound interest here: https://brainly.com/question/25857212

#Tag #SPJ2

An online clothing company sells custom sneakers. The company charges $26.50 for each pair of shoes and a flat fee of $3.99 for shipping. Write a linear function that represents the total cost, y, in dollars, for a single order of x sneakers.

Answers

Answer:

6.50x + 3.99

Step-by-step explanation:

Every order of sweat shirts is charged $3.99

Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.

5x+y=-2y-31. 2y+10=-4x-12

What is the X and Y

Answers

Answer:

x= -0.1818

y= 10.6363

Step-by-step explanation:

Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was given a sunflower with a height of 10 centimeters that grows at a rate of 3 1/4 centimeters per week. After how many weeks are the sunflowers the same height?

Answers

Answer:

8 weeks

Step-by-step explanation:

Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.

First, we have to look at the difference which is 2. How many 1/4ths makes 2?

8.

Therefore, 8 weeks would be your answer.

-kiniwih426

Solve the simultaneous equations
x + y = – 6
-x + 2y = 15

Answers

Answer:

x = -9, y = 3

Step-by-step explanation:

I hope it helps!

HELPPPPP!!As soon as possible

Answers

Answer:

answer is D :

√24 = 4.89

which is the nearest to 5 and possible answer


Express as a power of 2
(2/root8)^3

Answers

[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]

Rachel has 16 chocolate bars . Tracy takes 4 and asks for the remaining quarter. what would she end up with?

Answers

Answer:

Rachel ends up with 9 chocolate bars.

Step-by-step explanation:

16 - 4 = 12

quater is 1/4, so

12 / 4 = 3

12 - 3 = 9

Answer:

9 chocolate bars

Step-by-step explanation:

Rachel had 16 chocolate bars and Tracy takes (minus) 4.Now she has 12.

Tracy asks for the remaining (12) quarter. A quarter is 1/4, and a quarter of 12 is 3.

That leaves Rachel with 9, because 12 - 3 is 9.

how to do the first question?​

Answers

Answer:

DUDE MAYBE SHOW THE GRAPH ????

can someone help me with this sum please

Answers

Answer:

See below...

Step-by-step explanation:

v * 7x = 7vx

8c * 6e = 48ec

3a * 4a = 12a^2

8xw * 2w = 18xw^2

8mn * 3m^2n = 24m^3n^2

4acx * 5ax^2 * 6c = 120a^2c^2x^3

4m * 4n = 16mn

3x * 4x = 12x^2

5w * 3wx = 15w^2x

6c * 5ac^2 = 30ac^3

9wx^2 * 6w^2x = 54w^3x^3

9a^2c * 4ac^2e^3 = 36a^3c^3e^3

tim drives at an average of 80km

Answers

Answer:

80km --- 49.7097mi

Step-by-step explanation:

thats quite slow... but please provide context then i can solve it for you

If d varies directly as t and d=20.5 when t =12 find the value of constant

Answers

Answer:

12÷20.5= 0.5953658537

find the unknown angle ​

Answers

Answer:

total angles in triangle = 180

180 = 44+56+ y

y = 180-44-56

y = 80°

now to find z and x

we know the 2 straight lines are parallel (indicated by arrows)

x = 56°

z = 44°

how?

alternate angles theorem

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.

find the percentage change and classify as an increase or decrease

2004 cost: $18.77
2006 cost: $19.17

Answers

Answer:

this is 2% increase

Step-by-step explanation:

to find percent change,

big - small

---------------

original

19.17-18.77

-------------- = 0.021

18.77

round: 0.02 or 2%

Susie has 5/8ths of a gallon of tea and needs to fill as many glasses as possible. If each glass holds 2/7ths of a cup, how many glasses can she fill? Hint: One gallon is the same as 16 cups. Pls hurry! Will mark brainliest.

Answers

Answer:

35 glasses

Step-by-step explanation:

Susie has 5/8 gallon = 5/8 * 16 = 10 cups

10 cups ÷ 2/7 cups per glass = 35 glasses

pls help me find the answer-

Answers

Answer:

answer in pic, hope it helps

Help Me WHAT is 2 + 2

Answers

Answer:

4

Step-by-step explanation:

Answer:

= 4

2 + 2 = 4

Step-by-step explanation:

yw :-)

answer this pls!!...
help me out
-sry for my bad handwriting​

Answers

Answer:

i cant read it

can u type so i can help?

Step-by-step explanation:

plz help! so hardddddddd

Answers

Answer: The average temperature on Earth has risen.

Step-by-step explanation:

If you look at the graph, you can see that the average for temperature on Earth has risen since 1800s through 2000s

jamelia paid $8.40 for sliced turkey the amount she bought was 2.40 lb how much did jamelia pay per pound for the sliced turkey​

Answers

The answer should be $3.50.
This is because $8.40 / 2.40lb = $3.50

when you have an inequality with a variable on both sides what would you use to put all variables on one side and all constants on the other?

Answers

Answer:

Properties of Inequality

Addition Property of Inequality

[tex]x - 3 = 9\\x-3 +3 = 9 + 3\\x= 9 + 3[/tex]

Subtraction Property of Inequality

[tex]x+3<9\\x+3-3<9-3\\x<9-3[/tex]

Multiplication Property of Inequality

[tex]\frac{1}{2}x<4\\\frac{2}{1} * \frac{1}{2}x < 4 * \frac{2}{1}\\x < 8[/tex]

Division Property of Inequality

[tex]2x < 4\\\frac{2x}{2} < \frac{4}{2}\\x < 2[/tex]

Note: When you multiply or divide with a negative number. Flip the sign.

Step-by-step explanation:

search it up

Determine the zeros for x2 + 7x − 20 = 6x.

Answers

Answer:

= 4

or

= −5

Step-by-step explanation:

Answer:

[tex]x=-5[/tex] and [tex]x=4[/tex]

Step-by-step explanation:

[tex]x^2+7x-20=6x[/tex]

[tex]x^2+7x-20-6x=6x-6x[/tex]

[tex]x^2+x-20=0[/tex]

[tex](x+5)(x-4)=0[/tex]

[tex]x=-5[/tex] and [tex]x=4[/tex]

how to simplify 3x - 20

Answers

Answer:

-60

Step-by-step explanation:

you can just do 3x20, which makes sixty, then put change that to negative, since there is a negative in the number

The answer will be -60

How did the Twenty-fourth Amendment to the Constitution affect African Americans?



A. By defining citizenship, it meant all African Americans were entitled to due process.


B. By allowing citizens to directly elect senators, it gave African Americans a greater voice in the government.


C. By banning slavery, it meant millions of African Americans were free from bondage.


D. By eliminating poll taxes, it meant more African Americans could vote.

Answers

Answer:

The answer is D,..................

Step-by-step explanation:

D

is this the correct answer

Answers

Answer:

Step-by-step explanation:

correct.

Answer:

  see attached

Step-by-step explanation:

The requested plot is only for that portion of the line that exists between the two points shown.

Write an equation that represents this question below ...

Answers

Where’s the question????

please help please help

Answers

Answer:

35

Step-by-step explanation:

It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.

I hope this helps!!!

Answer:

C)  35

Step-by-step explanation:

The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.

Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.

To find the absolute value of a number do this:

If the number is zero, then its absolute value is 0. |0|= 0

If the number is positive, then the absolute value is just the number. For example, |9| = 9

If the number is negative, then just drop the negative sign. Example: |-3| = 3

Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride were $1.35 per ticket. Paul purchased 30 tickets for the rides and spent a total of $46.85 at the museum. Paul spent his money only on ride tickets and admission. The price of the museum admission is the same for everyone. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for tickets and museum admission. Use y to represent the total cost and x to represent the number of ride tickets. (c) Explain your answer to Part 1b.




Do NOT say you don't know, include files, or anything else. I need real answers not people faking answers to get points.

Answers

We want to define and solve a linear equation to model the given case.

The answers are:

a) x = number of tickets, y = total cost.

b) y = $1.35*x + $6.35

We know that:

The tickets for each ride were $1.35 per ticket.

Paul purchased 30 tickets

He spent a total of $46.85 (on tickets and admission)

The cost for the 30 tickets is:

30*$1.35 = $40.50

a) Now we can define two variables:

y = total cost

x = number of tickets

b) the linear equation would be:

y = $1.35*x + P

Where P is the price of admission.

And we know that the total cost for 30 tickets is $46.85, then we have:

$46.85 = $40.50 + P

$46.85 - $40.50 = P = $6.35

So the admission price is $6.35

This means that the linear equation is:

y = $1.35*x + $6.35

c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).

If you want to learn more, you can read:

https://brainly.com/question/13738061

PLEASE HELP WILL GIVE BRAINLIEST AND 100 POINTS

Answers

Answer:

answer down below:

https://vsa.flvs.net/default.aspx?PageID=117&fn=Student-Dashboard

Step-by-step explanation:

Answer:

4, 7.5

Step-by-step explanation:

4. (x+6)(x+10)=140 ->

x=4

5. 550 = 8(x-2)(x+5) ->

x=15/2=7.5

Hope that helps! :)

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