Find the least common multiple of 45 and 120

Answers

Answer 1

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{360}}}}}[/tex]

Step-by-step explanation:

Steps for finding L.C.M of the given numbers :

[tex] \star[/tex] First of all find the prime factors of each numbers.

[tex] \star[/tex] Take out the common prime factors.

[tex] \star[/tex] Also take out the remaining prime factors.

[tex] \star[/tex] Multiply those all prime factors and obtain L.C.M. If there is not any common prime factors then their L.C.M is the product of the given numbers.

Now,let's find the least common multiple ( L.C.M ) of 45 and 120 following those steps :

prime factors of 45 = 3 × 3 × 5

prime factors of 120 = 2 × 2 × 2 × 3 × 5

Common prime factors= 3 and 5

Remaining prime factors = 2 , 2 , 2 and 3

Multiply all the prime factors to obtain L.C.M

[tex] \dashrightarrow{ \sf{3 \times 5 \times 3 \times 2 \times 2 \times 2}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{360}}}[/tex]

Hope I helped!

Best regards! :D


Related Questions

Does anyone know how to do this?

Answers

to find the midpoint of a line segment
Add both "x" coordinates, divide by 2.
Add both "y" coordinates, divide by 2.

El punto 22, los resultados/procedimiento para confirmar que lo hice bien

Answers

Answer:

a)

1/4 : a = 1/10

1/4 = a*1/10

(1/4) : (1/10) = a

(1*10):(4*1) = a

10/4 = a

entonces:

1/4 : 10/4 = 1/10

respuesta:

en el recuadro va:

10/4 o su equivalente 2/5

b)

3/7 : a = 9

(3/7) : 9 = a

3 : (7*9) = a

3 / 63 = a

entonces:

(3/7) : (3/63) = 9

(3*63) : (7*3) = 9

63 : 7 = 9

entonces, en el recuadro va:

3/63 o su equivalente 1/21

c

a : (1/2) = 5/2

a = (5/2) * (1/2)

a = (5*1) / (2*2)

a = 5/4

entonces:

(5/4) : (1/2) = 5/2

(5*2) : (4*1) = 10/4 = 5/2

entonces, en el recuadro va:

5/4

d

a : (1/2) = 2/5

a = (2/5) * (1/2)

a = (2*1) / (5*2)

a = 1/5

entonces:

(1/5) : (1/2) = 2/5

(1*2) / (5*1) = 2/5

Convert 6 7/20
into a decimal

Answers

Answer:

6.35

Explanation:

7 divided by 20 is 0.35+6= 6.35

Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings

Answers

Answer:

120% increase

Step-by-step explanation:

La suma de dos numeros es 208 y su diferencia es 122¿cuales son los numeros?

Answers

Answer:

Los números son:

43 y 165

Step-by-step explanation:

Planteamiento:

a + b = 208

a - b = 122

Desarrollo:

de la segunda ecuación del planteamiento:

a = 122 + b

sustituyendo este último valor en la primer ecuación del planteamiento:

(122+b) + b = 208

2b = 208 - 122

2b = 86

b = 86/2

b = 43

a = 122 + b

a = 122 + 43

a = 165

Comprobación:

165 + 43 = 208

165 - 43 = 122

find de equation of a line with slope 2y + x =6 and passing through the point (-2,3)​

Answers

Answer:

[tex]y = mx + b[/tex]

[tex]y = 3x - \frac{1}{2} x {}^{2} + 11[/tex]

PLEASE MARK AS BRAINLIEST

When Scott got his dog Arfus, it weighed
6 lb. Six months later it weighed 8 lb.
How much weight did Arfus gain?

Answers

It gained 2 lb. because if you subtract 8-6 you would get 2. So Arfus gained 2 lb.

Expressions that simplify to the same expression are called _ _ _ _ _ _ _ _ _ _.

Answers

Answer:

Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.

Step-by-step explanation:

AC
B is between the points A and C on
Write an equation using the information in
terms of x. Find x, AB, and BC.
AB = 8x + 5
BC = 5x - 9
AC = 74

Answers

X is 6
AB is 53
BC is 21

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

Given,

B is between points A and C on AC.

AB = 8x + 5

BC = 5x - 9

AC = 74

We need to write an equation using the information in terms of x
We also need to find x, AB, and BC.

What does it mean to have a point between two points of a line?

If there is a point between two points of a line, the sum of the two lines separated by the point is equal to the line given.

Example:

M______N____________O

Then,

MN + NC = MO

Find the equation that represents AC with point B between A and C.

We have,

A______B___________C

AB = 8x + 5

BC = 5x - 9

AC = 74

Now,

AC = AB + BC

74 = 8x + 5 + 5x - 9

74 = 13x - 4

13x - 4 - 74 = 0

Find x.

74 + 4 = 13x

78 = 13x

x = 78 / 13

x = 6

Find AB

AB = 8x + 5  

= 8x6 + 5

= 48 + 5

= 53

Find BC

BC = 5x - 9

= 5x6 - 9

= 30 - 9

= 21

Thus,

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

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YALL. I NEED HELP FOR SCIENCE

Answers

Answer:

i got dis the answer is 13

Step-by-step explanation:

so its going 31 to the right minus 8 so 23 to the right. for it to get to be 10 it would be 13

3.409 x 10^-3 In scientific notation.

Answers

Answer:

Since the exponent of the scientific notation is negative, move the decimal point 3 places to the left.

0.003409

Two fifteenths times 10

Answers

Answer:

1.3

Step-by-step explanation:

Match question it has 3 answers I’m giving brainly

Answers

Answer:

1st 2nd and 4th option are correct

Answer:

B

Step-by-step explanation:

C is wrong because -11 + 4 is -7

E is wrong because you can't change the negative sign just for one value on one equation

he Moore family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are beds, desk, and dressers to select from. How many different furniture sets could they select?

Answers

the answer would be 8 i believe

Evaluate R - Y for R = -2 and Y= -7

Answers

Answer:

5

Step-by-step explanation:

Replace variables with integers

(-2) - (-7)

Solve.

-2 - (-7) --> -2 + 7 --> 5


HELP!!!!
It was saying that my question is to short so I am just writing this to make it longer! and Thank you to the person who answers my question I do appreciate you taking time out of your day to help me!

Answers

What’s there question??

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).

Answers

Answer:

P=9.0h

Step-by-step explanation:

Divide the Paid amount by the hours worked and you'll get how much money she gained every hour which is 8.50$ And the question is telling you which of the following equations is GREATER than the amount she got paid per hour. So the answer would be P=9.0h

The required equation represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h. Option D is correct.

Given,

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).
                    day  =       1            2        3
Hours worked(h) =       5           4        6
Amount paid (p)  =   $42.50   $34     $51

What is the slope of the line?

The slope of the line is the tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.


The slope of the data given,
m = 42.5/5

m = 8.5
the slope shows the hourly rate to get paid.
Required expression is
p = 8.5h

From the option, the slope of equations needs to compare greater the slope greater will the hourly rate.
Slope of equation A = 1/8, B =8, C = 8.5 and D = 9.0
hence, only slope D has a greater value by the existing slope of 8.5

Thus, the required equation that represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h.

Learn more about slopes here:
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Question is incomplete, correct question has added below.

If g(x) = x2 + 12, what does f(8) equal?
48
76
66
28
Asap pls

Answers

76 just multiply 8 x 12

whats the answer to this question -9x+1= -8​

Answers

-9x+1=8
-9x=-8-1
-9x=-9
x=1

{(1, 3), (2,5), (-3, -4), (4, -3) (5,-1)} the above is
a function or not a function

Answers

the answer is it is function

I dont really understand how to do this with three terms can someone please help?

Answers

Answer:

A. x(x + 7)²

Step-by-step explanation:

Step 1: Write out polynomial

x³ + 14x² + 49

Step 2: Factor out x

x(x² + 14x + 49)

Step 3: Factor out quadratic

x(x + 7)²

Evaluate the expression when a = 3, b = 2, and c= -3: (a³ + 2bc)/( c² -5)

Answers

((3*3*3)+2(-6))/((-3*-3)-5)
(27-12)/9-5
15/4

Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

Answers

Answer:

y = [tex]\frac{3}{5}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 3y = 15 ( subtract 5x from both sides )

3y = - 5x + 15 ( divide all terms by 3 )

y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus

y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line

Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

The equation of the line is; 3x - 5y = 10.

By comparison with the equation of a straight line: y = Mx + c

The equation 5x+3y=15 can be rewritten as ;

y = (-5/3)x + 5

Therefore, the slope of the equation is; (-5/3)

The product of the slope of two perpendicular lines is: -1.

therefore m1m2 = -1

Therefore; M2 = -1/(-5/3)

Therefore M2 = 3/5

The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;

3/5 = (y - 1)/(x - 5)

By Cross product;

3x - 15 = 5y -5

Therefore, the equation of the line is;

3x - 5y = 10.

Read more:

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(6 + 3) = (4-5) = 18
Evaluate the following numerical expressions

Answers

Answer:

18

-9

30

Step-by-step explanation:

did on edge :)

Answer:

Evaluate the following numerical expressions.

6 + 3 • 4 =  18

(6 + 3) ÷ (4 – 5) = -9

6 + 23 • 3 = 30

Step-by-step explanation:

i took the test

How do you find MAD​

Answers

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set

order the following from least to greatest PLZ I NEED HELP!!!!

Answers

Answer:

½, √0.28, 0.58

Step-by-step explanation:

you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.

What’s 6 (3x + 5) please

Answers

6(3x+5)

6*3x=18x

6*5=30

18x+30 is your answer! I hope this helped! :)

How do I do this, please explain.

Answers

All i know is that the solution to 4(x+1)=40 is x=9.

WILL MARK YOU BRAINLIEST

Answers

Answer:

(-4, -0.5)

Step-by-step explanation:

According to the graph ,

[tex](-5 , -4) =(x_1,y_1)\\(-3 , 3)=(x_2,y_2)[/tex]

Sorry for the bad handwriting

Workings are in the picture

Find the distance between (8, -4.7) and (8, 5.3)

Answers

Answer:

d = 10

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(8-8)^2+(5.3-(-4.7))^2} \\d= \sqrt{(0)^2+(10)^2} \\d= \sqrt{0+100} \\d= \sqrt{100}\\ d= 10[/tex]

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