If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?

Answers

Answer 1

Answer:

The LCM of 3a and 2b = 6P

Step-by-step explanation:

LCM of  3 a  and  2 b  will be  6 p

Since  a  is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......

b  is not divisible by  3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....

LCM of a and b is P

Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )  

Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)

So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)

The LCM of 3a and 2b = 6P

       


Related Questions

Siti bakes 55 vanilla cakes and 39 strawberry cakes. A box can hold 6 cakes. What is the smallest number of boxes needed to hold all the cakes?​​​​​​​​​​​​​

Answers

Answer:

16

Step-by-step explanation:

total number of cakes baked=55+39=94 cakes

1 box can hold 6 cakes

let the number of box need to hold 94 cakes be x

:- 1 = 6 cakes

x = 94 cakes

cross multiply to get :

6x=94

divide both side by the coefficient of x i.e 6

6x/6=94/6

x= 15.7

because it a real object, the minimum nuber of boxes is 16

Question 24 Multiple Choice Worth 1 points)
(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis

Answers

Given:

The system of equations is:

Line A: [tex]y=x-4[/tex]

Line B: [tex]y=3x+4[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]y=x-4[/tex]              ...(i)

[tex]y=3x+4[/tex]           ...(ii)

Equating (i) and (ii), we get

[tex]x-4=3x+4[/tex]

[tex]-4-4=3x-x[/tex]

[tex]-8=2x[/tex]

Divide both sides by 2.

[tex]-4=x[/tex]

Substituting [tex]x=-4[/tex] in (i), we get

[tex]y=-4-4[/tex]

[tex]y=-8[/tex]

The solution of system of equations is (-4,-8).

Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.

[tex]-8=-4-4[/tex]

[tex]-8=-8[/tex]

This statement is true.

Similarly,

[tex]-8=3(-4)+4[/tex]

[tex]-8=-12+4[/tex]

[tex]-8=-8[/tex]

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

find the volume of the rectangle

Answers

Answer:

3/16

Step-by-step explanation:

simply multiply all 3 numbers

What is the distance between the points (8, 12) and (1,3)? If necessary, round
your answer to two decimal places.

Answers

Answer:

13.03 units

using distance formula which is

root under

(X\/2-X\/1)^2 + (y\/2-y\/1)^2

Please help, I need it due today and urgently! Please give a small explanation and an answer

Answers

Answer:

0=0 1=1   6<8

Since 6 < 8  0.16 < 0.18

so, the hummingbird weighs more than a nickel

Step-by-step explanation:

6 is less than 8 so therefore .16 is less than .18. The nickel weighs .18 and .16 is less than that.


please help due tmr!!!

Answers

Answer:

y 4       4x + 2

y< 6     x+3

Step-by-step explanation:

help me please as soon as possible. I will mark you as the brainliest

Answers

1) 36

2) 143

3) 18

4) 12

5) 15

6) 108

7) 58

The key here is to perform direct substitution in each problem.

I'll do a quick working down here

1) 9(8-4)= 9*4 =36

2) 4(5*4)+7*9= 80+63 =143

3) 114-(3*8*4)= 114-96=18

4) 24/(1*2) = 24/2 = 12

5) 19 - (28/7) = 19- 4 = 15

6) 3 (6)^2 = 3*6*6= 108

7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58

1. 9(8-4)= 9*4= 36; I have first subtracted everyhting in the brackets and then multiplied the value.
2. 4(5)(4)+7(9)= 80+63= 143
3. 114-3(8)(4)= 114-96= 18
4. 24/(2)(1)= 24/2= 12
5. 19-28/7= 19-4= 15
6. 3(6)^2= 18*18= 324
7. 49-9^2+ 6^2= 68

Find the midpoint of the segment
(-3,-1)
(-2,0)
(-2,-1)
(-3,0)

Answers

The midpoint is c (-2,-1)

Lin scored 18 marks in a test and Jon scored 12 marks.
Calculate Lin's mark as a percentage of Jon's mark

Answers

Answer:

=60

Step-by-step explanation:

18 + 12

=30

18/30 × 100%

=60

The length of the sides of a triangle are y, y + and 7 centimeters. If the triangles perimeter is 56 centimeters, what is the value of y?



A) 24


B) 25


C)31


D) 32

Answers

Codec this and set us b

Solve for c.
3c - 15 = -45

Answers

Answer:

c = -10

Step-by-step explanation:

For this we can use basic algebra. Add 15 on both sides. This gives us 3c = -30. Divide by 3 on both sides. The final answer is c = -10.

The value of c is -10 in the equation 3c - 15 = -45.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3c-15=-45

Three times of c minus fifteen equal to minus forty five.

In the given equation minus is the operator and c is the variable.

We need to solve for variable c

3c-15=-45

Add 15 on both sides

3c-15+15=-45+15

3c=-30

Divide both sides by 3

c=-10

Hence, the value of c is -10 in the equation 3c - 15 = -45.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Find the sine ,cosine and tangent ratios of

Answers

Step-by-step explanation:

Given that,

Hypotenuse, H = 13

Base, b = 12

Perpendicular, P = 5

[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{5}{13}[/tex]

[tex]\cos\theta=\dfrac{B}{H}\\\\\sin\theta=\dfrac{12}{13}[/tex]

and

[tex]\tan\theta=\dfrac{P}{B}\\\\=\dfrac{5}{12}[/tex]

Hence, this is the required solution.

Please help meeee

Similar Figures Activity - Dilations Not at the Origin

Answers

Step-by-step explanation:

∆ABC =>by reflection over x-axis and then dilation with scale factor 2, the point of center (5, -1) ==> XYZ

Determine the solution, if any, to the system of equations below. 8. 2y = 1 - 4x + y = 3 Show your work or explain how you got your answer.​

Answers

Answer:

y=1/2 , x= -5/8

Step-by-step explanation:

⇒[tex]2y=1. -4x+y=3 : y=\frac{1}{2} \\\left \{ {{2y=1} \atop {-4x+y=3}} \right. \\ where: y=\frac{1}{2} \\-4x+\frac{1}{2}=3\\isolate for -4x+\frac{1}{2} =3: x=-\frac{5}{8} \\y=\frac{1}{2} : x=\frac{-5}{8}[/tex]

Problem 1 Using the pattern in the image below , how many dots would be in Step 4

Answers

Answer:

9 dots

Step-by-step explanation:

each step adds 2 dots every time

What is the approximate circumference of a circle that has a diameter of 15 inches? A) 14 ft
B) 21.98 ft
C) 28 ft
D) 7 ft

Answers

Answer:

47 ft

Step-by-step explanation:

3.14 x 15

A city planner wanted to place the new town library at site A. The mayor thought that it would be better at site B. 1. What transformations were applied to the building at site A to relocate the building to site B? 2. Did the mayor change the size or orientation of the library?

Answers

Answer:

you have to connect an image or provide further information

Step-by-step explanation:

What is the value of this expression when g=-3.5?
8-12g-5

Answers

Answer:

45

Step-by-step explanation:

8-12(-3.5)-5

8+42-5

=45

Find the area of the circle if the square has an area of 900in^2. Give your answer in terms of 3.14 or pi

Answers

Answer:

450in^2

Step-by-step explanation:

square root of 900 is 30.

Each side of square is 30.

Each side of a triangle formed by drawing a radi in the square is 15 in.

The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.

A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2

select the expression that is equivalent to (x-7)

Answers

Yes because it is correct

PLSSS ASAP 20 POINTS AND BRAINLIEST IF RIGHT!!!!!!
The graph of g is a translation 3 units down of the graph of f(x) = x2 + 1. What is the range of g?

A. all real numbers
B. g(x) ≥ −3
C. g(x) ≥ −2
D. g(x) ≥ −1

Answers

Answer:

All real number

Step-by-step explanation:

Is this ok

Answer:

C

Step-by-step explanation:

To translate something 3 units down subtract it by 3

which means our equation is

x²-2

From here it's pretty easy to see that the answer must be C

How many wax warmers will she make when she makes 77 candles

A.75

B.55

C.40

D.69

Answers

You are going up 7 more for each number, so 7x 11 = 77
Each number on the right side is going up by 5, so 11 x 5 = 55
Answer: B. 55

A real estate agent earns about a 6% commission on each house sold. How
much commission would an agent earn on a house that sold for $125,000?

Answers

Answer:

132'500

Step-by-step explanation:

It is like doing tax, you just needed to multiply your number by 0.6

Answer:

$ 7,500

Step-by-step explanation:

commission=6%

House price= $125,000

Commission=6/100 ×125,000

Commission= $ 7,500

A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it​

Answers

Answer:

A = 4a² - 4ab + b²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ) , so

A = (2a - b)² ← expand using FOIL

   = (2a)² - 2ab - 2ab + (- b)²

   = 4a² - 4ab + b²

find the midpoint of the line segment with end coordinates of (2,1) and (4,5)​

Answers

Answer:

(3,3)

Step-by-step explanation:

Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is

Answers

Answer:

It is 2 million

Answer:

Million

Step-by-step explanation:

5 - 2x^2 = -15 solve the question using inverse operations

Answers

Answer:

x= √10 and x= -√10

Step-by-step explanation:

first look to isolate the term with the variable on one side

-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)

-2x² = -20; divide both sides by -2 (inverse of multiplication)

x² = 10; square root both sides (the inverse of raising to power of 2)

√x² =√10

x =±√10

the difference between two number is 5. when the larger number is multiplied by 2, the sum of both the numbers is 7. Hence, represent graphically the simultaneous linear equations in two variables and state the type of solutions.​

Answers

Step-by-step explanation:

let the larger number = a,

and the smaller one = b.

a - b = 5 ==> a = b+5

2a + b = 7

2(b+5) +b=7

2b+10+b=7

3b= 7-10

3b = -3

b = -1

a = -1+5 = 4

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side LM. Round your answer to the nearest tenth if necessary.

Answers

Answer:

LM = 24.3

Step-by-step explanation:

In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.

Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as

LK / HG = LM / IH

34/7 = LM / 5

Multiply both sides by 5

34*5/7 = LM

LM ≈ 24.2857

Rounding to the nearest tenth, LM = 24.3

Answer:

24.3

Step-by-step explanation:

Which expression is equivalent to 10k + 17 - 7j - 18 - 11k?
-8jk - 1
-7j - k - 1
-7j + k + 1
-8j - k



PLEASE HURRY !!!!
20 POINTS!!!

Answers

Answer:

-7j-k-1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.

10k + 17 - 7j - 18 - 11k

10k -11k + 17 - 18 - 7j                Move to group like terms together.

-k - 1 - 7j

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