The GCF of two numbers is 3 and the LCM is 180. If the one of the number is 45, what is the other number?

Answers

Answer 1

Answer:

45

Step-by-step explanation:

45 = 3*3*5

180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4

also, let the other number has to be of the form 3k and it must contain a factor of 4, how about 12 ?

check: lcf of 12 and 45 is 3,

the lcm of 12 and 45 is ...

12 = 2*2*3

45 = 3*3*5

so we need: 2*2*3*3*5 = 180


Related Questions

classify the equation as having one solution no solution or infinite solution

4(9x+6)=36x-7 And the solution is x=

Answers

Answer:

[tex]\boxed{\bf {{No\:Solution}}}[/tex]

Step-by-step explanation:

[tex]\bf 4(9x+6)=36x-7[/tex]

Expand: Apply Distributive proprty:

[tex]\bf 36x+24=36x-7[/tex]

[tex]\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x+24-24=36x-7-24[/tex]

[tex]\bf 36x=36x-31[/tex]

[tex]\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x-36x=36x-31-36x[/tex]

[tex]\bf 0=-31[/tex]

Because the sides are not equal there is no Solution

Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1​]

Answers

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Find the radius of a circle to the nearest hundredth if its circumference is 25.5 yard

Answers

4.06 yard is the the radius of a circle to the nearest hundredth if its circumference is 25.5 yard

HELP HELP HELP HELP HELP HELP​

Answers

Step-by-step explanation:

You can take the numerator as one factor and 1/denominator as another.

Just an example:

a(x + 2) and 1/(a(x - 1)), with a rational value of a ≠ 0.

Let a = 1, then the following product will give what we have

(x + 2) × 1/(x - 1) = (x + 2)/(x - 1)

PLEASE HELP IT’S DUR TMR

Answers

Answer:

10+10+10

Step-by-step explanation:

Hi I am so stuck on this question pls help

Answers

Answer:

4500 cm²

Step-by-step explanation:

10 mm = 1 cm

So 450 × 10

= 4500 cm²

5 raised by 2- 5 (68-60)=
(with explanation plz)

Answers

Step-by-step explanation:

2-5(68-60)=2-5×8=2-40=38

What happens when an electrically charged pencil is placed close to water running from a faucet?

The pencil attracts the water.
The pencil becomes positively charged.
The water attracts the pencil.
The water repels the pencil.

Answers

The pencil attracts the water

WILL GIVE BRAINLIEST
questions 35-45 odd
please show work

Answers

Answer:

35. Domain is -∞,∞ Range is y=0.

Step-by-step explanation:

No solution.

What is the graph of the function f(x) = the quantity of x squared minus 7 x plus 12, all over x minus 3 ? (1 point);

Answers

Answer:

pic is answer

Step-by-step explanation:

Which of the following equation represents the graph?

Answers

Answer:

y= -3/5x -3

Step-by-step explanation:

The slope and y intercept

Answers

Answer:

the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!

43 tens x 2 tens????????????????????????????????????

Answers

Step-by-step explan:45decenas

Answer:

8,600

Step-by-step explanation:

43 tens is basically 43 x 10

2 tens is 2 x 10

multiply that to get 8600

Hope it helps! :D

What is 21,678 rounded to the nearest ten

Answers

Answer:

21,678 rounded to the nearest ten is 21,680

There has been a person on here posting the same link to many answers, can you please delete their account? Thanks.

Answers

Yeah... they should.

Please help this needs to be done by the end of the day​

Answers

I’ll ask one of my friends if they know! I get back with you

Help what is the fourth answer


Needed by tonight at 10

Answers

Answer:

where is the question?!

where is the question at.. lol

what would be the answer to this problem [tex]\frac{7x-3}{9} \geq 8-2x[/tex]

Answers

Answer:

[tex]x\geq 3[/tex]

Step-by-step explanation:

How do i solve this table?

Answers

man im sorry because its hard to explain

Yes it’s a function

It’s a function because each input (the x) only has 1 output (the y)

An example where it wouldn’t be a function is a table like this:
1 | 4
1 | 5
2 | 7
3 | 12
4 | 19
Because 1 maps both to 4 and 5 so it’s not a function. But in your original table, it’s fine so it’s a function.

How would you solve the equation -13=-5║n║

Answers

Answer:

-13/5

Step-by-step explanation:

The perimeter of a rectangular field is 358 m.
If the length of the field is 96 m, what is its width?

Answers

Answer: 83 meters

Step-by-step explanation:

The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.

2(96) + 2w = 358

192 + 2w = 358

2w = 166

w = 83

Hope it helps :) and let me know if you want me to elaborate.

if kathy had 1700 apples and split with her 4 friends. and then one friend give her back 15 apples. and she gives then 1 apple back. how. much does she have.​

Answers

Answer:

439

Step-by-step explanation:

1700/4=425

15-1=14

425+14=439

Jalil mixed cup of water with cups of sugar. How many more cups of water than sugar did he use in his mixture?


the question has no numbers what do i do

Answers

Answer:

[tex]1\frac{11}{24}[/tex] cups more water than sugar

Step-by-step explanation:

Question: Jalil mixed 3/8 cup of sugar with 11/6 cups of water. How many more cups of water than sugar did he use in his mixture.

Answer:

Jalil mixed the number of cups of sugar =  [tex]\frac{3}{8}[/tex]

with the number of cups of water =  [tex]\frac{11}{6}[/tex]

We have to find the additional amount of water that is used in his mixture.

So we will subtract the amount of sugar from the amount of water.

[tex]\frac{11}{6}[/tex]- [tex]\frac{3}{8}[/tex]

= [tex]\frac{44-9}{24}[/tex]

= [tex]\frac{35}{24}[/tex]

=  [tex]1\frac{11}{24}[/tex] cups

[tex]1\frac{11}{24}[/tex] cups more water is used in this mixture.

-6 divided by 8? How do you turn it into a fraction problem?

Answers

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

just put the number on top and what divides it on the bottom

8TH GRADE MATH PLEASE HELP!!​

Answers

Answer:

C.

Step-by-step explanation:

\sqrt{35} = 5.916079783

Its the Closest one

Answer:

C is the correct answer

[tex] \sqrt{35 } = 5.91 \\ [/tex]

Answer this question I will try to give brainliest but I don't know how so no promises.

Answers

Answer:

d. 4x+12

Step-by-step explanation:

distribute the 4

4*x =4x

4*3=12

therefore its

4x+12

Answer:

D

Step-by-step explanation:

4(x+3)

(4 times x) + (4 times 3)

4x + 12 = D

if i had 475 connolies and got left with 24 and i sold them for 2.50 how much money did i make.​

Answers

1127.50 money

475-24=451
451 times 2.5

Expand each expression and simplify your answers as far as possible
1. 8x - 2(3 - 2x)
2. 4x + 5-3(2x - 4)

Answers

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

8x - 2(3 - 2x)8x - (-2)(3) + (-2)(-2x) 8x + (-6) + 4x(8x + 4x) + (-6)12x - 6

2.

4x + 5 + (-3)(2x) + (-3)(-4) 4x + 5 - 6x + 12(4x - 6x) + (5 + 12)-2x + 17

Answer:

[tex]\boxed{\sf 12x-6}[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

Step-by-step explanation:

[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]

Apply Distributive Property to multiply -2 by (3-2x):

[tex]\sf 8x-6+4x[/tex]

Combine like terms:

[tex]\sf (8x+4x)[/tex]

[tex]\sf 12x[/tex]

[tex]\boxed{\sf 12x-6}[/tex]

______________________________

[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]

Apply Distributive property:

Multiply -3 by (2x-4):

[tex]\sf 4x+5-6x+12[/tex]

Combine like terms:

[tex]\sf (4x+(-6x))[/tex]

[tex]\sf -2x[/tex]

→ [tex]\sf (5+12)[/tex]

[tex]\sf 17[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

_____________________________

Solve the math problem

Answers

x+50+70+4x=180

combine like terms

50+70=120

subtract 120 by both sides

x+4x=60

combine like terms

5x=60

divide by 5

x=12

4x12=48

B=48

12+50=62

48+62=110

110+70=180

x=12

A=62

B=48

Pahelp po please pahelp please pahelp​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The calculations are easily done in a spreadsheet, starting with √A. The value of B is (√A +1)². The formatting of the root as a mixed number is done by converting the numerical values to text strings and joining them together with appropriate intervening characters.

Answering these in this way tends to reduce arithmetic and copying errors. (You may notice that B-A is always 1+2√A.)

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