find out the L.C.M of 156 and 168

Answers

Answer 1

LCM of 156 and 168 is

[tex]2184[/tex]

[tex]Find \: the \: prime \: factorization \: of \: 156 \\ 156 = 2 \times 2 \times 3 \times 13 \\ [/tex]

[tex]Find \: the \: prime \: factorization \: of \: 168 \\ 168 = 2 \times 2 \times 2 \times 3 \times 7[/tex]

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM

LCM = 2×2×2×3×7×13

LCM = 2184


Related Questions

find mean proportional of 4 and 16​

Answers

let a = 4

c = 16

: . b^2= ac

: . = 4 × 16

: . b^2 =

64

: . b = √64

: . b = 8

: . the mean proportional is 8.

Find the value of AB.

Answers

Answer:

6

Step-by-step explanation:

We can look that AB=BC=CD=18/3=6

So, AB = 6

Answer:

Step-by-step explanation:

6....

-15=5(3q-10)-5q
Solve the equation

Answers

Answer:

q = 3.5

Step-by-step explanation:

Start by distributing the 5

-15 = 15q - 50 - 5q

Combine like terms

-15 = 10q - 50

Add 50 to both sides

35 = 10q

Divide by 10 to isolate q

35/10 = q

q = 3.5

Answer:

q=3.5 or 4

Step-by-step explanation:

-15=5(3q-10)-5q

-5=15q-50-5q

-15+50=15q-5q

35=10q

Divide both sides by 10.

35÷10=10q÷10

3.5=q

Therefore,q= 3.5

Round up=4

.

the base of a triangle is 13cm and its height is 5cm. what is the area of the triangle

Answers

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

helppppppp pleaseeereee
Which number sentence has a product of 42?

7 × (-6)
-6 × 7
-7 × (-6)
-7 × 6

Answers

Answer:

-7 × (-6)

Step-by-step explanation:

7 × (-6) = -42

-6 × 7 = -42

-7 × (-6) = 42

-7 × 6 = -42

Answer:

[tex] - 7 + ( - 6) = 42[/tex]

I hope I helped you^_^

Can someone help me im struggling

Answers

[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]

What is the solution to this equation?

2x + 3 (x - 10) = 45

A. x = 15

B. x = 3

C. x = 7

D. x = 11

ANSWER: A (x = 15)

Answers

Answer:

The value of x is 15

Step-by-step explanation:

2x + 3(x - 10) = 45

2x + 3x - 30 = 45

5x - 30 = 45

Now, Add 30 both sides we get,

5x - 30 + 30 = 45 + 30

5x = 75

Now, Divide 5 from both sides we get,

5x/5 = 75/5

x = 15

Thus, The value of x is 15

Hence, Option A is correct

-TheUnknownScientist

Angle 0 is in standard position. if sin(0) = -1/3, < 0 < 3/2 , find cos (0).

Answers

Answer:

-2 sqrt (2) /3

Step-by-step explanation:

sin = -1/3 its in the 3rd quadrant so sin is negative cos is negative

sin^2 O + cos ^2 O = 1

1 - (1/9) = cos^2 O

[tex] \cos( \alpha ) = \frac{ - 2 \sqrt{2} }{3} [/tex]

186 div by 20 because i am lost

Answers

Answer:

9.3

Step-by-step explanation:

186/20 = 18.6/2 = 9.3

[tex]Hello[/tex] [tex]There![/tex]

The answer is...

[tex]\frac{93}{10}.[/tex]

Hopefully, this helps you!!

[tex]AnimeVines[/tex]

ax+by=c solving for y

Answers

Answer:

[tex]ax + by = c \\ by = c - ax \\ \\ y = \frac{c - ax}{b} \\ \\ y = \frac{c}{b} - \frac{ax}{b} [/tex]

I hope I helped you^_^

by = c - ax
y = (c - ax) / b

−6−(−2)minus, 6, minus, left parenthesis, minus, 2, right parenthesis

Answers

Answer: -4

Step-by-step explanation:

Start with -6, since there is nothing to solve in the parenthesis.

Subtract -2 from -6, which will get you -4.

The middle school band has 600 os members, 200 of the members were chosen for the highly selective All-State Band. What is the value of the ratio of the number of students who were chosen for the All-State Band to the number of students who were not chosen for the All-State Band?​

Answers

Answer: For every three students in band, one will be selected for All-State band.

Step-by-step explanation: The easiest way to explain it is to reduce 600 and 200 by the same number until you can't anymore. I know it sounds like I'm coming up with this off the top of my head, but rest assured that I'm not.

What is the equation of the line that passes through the point (2, -4) and has a
slope of 2

Answers

Answer:

y = 2x - 8    OR     4 - 2x = -4 - y

Step-by-step explanation:

Use the point-slope form m(x₁-x₂) = (y₁-y₂); m means slope

plug in your numbers:

2(2-x₂) = (-4-y₂)

4 - 2x = -4 - y

or to put it into Y=mx + b:

y = 2x + 8

Solve the following using substitution

Y = 2X - 3

4X -3Y = 31

Answers

Answer:

Step-by-step explanation:

(g + 4) - 3g = 1 + g

Answers

(g + 4) - 3g = 1 + g

or, g + 4 - 3g = 1 + g

or, -2g + 4 = 1 + g

or, -2g - g = 1 - 4

or, -3g = -3

or, g = -3/-3

or, g = 1

The value of g is 1.

Please anything helps. Bisect each angle below
(Don’t know what I was doing on the first one)

Answers

Answer:

U are doing right but don't move ur compass when u are doing the line (i mean opposite line)otherwise ur line at not bisect

This one if to hard for me

Answers

Answer:

x=0 , x = 1/2

Step-by-step explanation:

(4x-1)=1 —> 4x-1=1—> 4x=1+1—> 4x=2 —> x=2/4 —> x= 1/2

-(4x-1)=1—>-4x+1=1—> 4x= 1-1 —> x=0

Hello there!

We are given the equation:

[tex] \displaystyle \large{ |4x - 1| = 1}[/tex]

Definition/Property

[tex] \displaystyle \large{ |a| = \sqrt{ {a}^{2} } } \\ \displaystyle \large{ |a| = b \longrightarrow a = \pm b} \\ \displaystyle \large{ |a| = \begin{cases} a \: \: (x \geqslant 0) \\ - a \: \: (a < 0) \end{cases}}[/tex]

First, cancel the absolute value sign and write plus-minus beside 1.

[tex] \displaystyle \large{ |4x - 1| = 1} \\ \displaystyle \large{ 4x - 1 = \pm 1} \\ [/tex]

Break in two cases.

[tex] \displaystyle \large{ 4x - 1 = \begin{cases} 1 \\ - 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 1 + 1 \\ - 1 + 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 2 \\ 0 \end{cases}} \\ \displaystyle \large{ x = \begin{cases} \frac{2}{4} \\ \frac{0}{4} \end{cases}}[/tex]

Therefore, x = 0 or 1/2

Let me know if you have any questions!

Topic: Absolute Value Function - Equations

What is the slope of the line that passes through the points (7,9) and (15,-29)

Answers

Answer:

-4.75

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1)

So applying the formula

(-29-9)/(15-7)

= -38/8 = -4.75

I need help please .

Answers

Scientific notation is built upon the idea of moving the decimal place to the left or right so many places.

A foundational background concept is that multiplying by 10 makes a number bigger and moves the decimal to the right.
For example: 3.4 x 10 = 34

The counterpart for that is that dividing by 10 makes a number smaller and moves the decimal to the left.
For example: 3.4 ÷ 10 = 0.34

So, when you see 3.4 x 10^5, this means you’re multiplying by 10 fives times, so that will move the decimal point five places to the right.
3.4 x 10^5 = 340 000

On the other hand, when you see a negative exponent on the 10, then that means you’re actually dividing by that many 10s and will move the decimal point that many places to the left. (to make the number smaller)
3.4 x 10^-5 = 0.000034

So, you need to first identify if you’ll make the number bigger or smaller and then how many places the decimal point will need to move.

Here's an easy question for points: 5 x 2/6 =

Answers

Q) 5 × (2/6) = ?

→ 5 × (2/6)

→ 10/6

→ 5/3 {final answer}

Write each decimal number as a fraction or mixed number in simplest form?​

Answers

You're letting x = 0.325325325…, which means

1000x = 325.325325325…   (or 325.325, but pretend the underline is actually an overline)

Then the next box you'd fill in with 0.325325325… (or 0.325).

Subtracting these, you have

1000x - x = 325.325325325… - 0.325325325…

999x = 325

Finally, solving for x gives

x = 325/999

Find the distance between the two points rounding to the nearest tenth (if necessary).


(−5,−9) and (−8,0)

Answers

The formula is called the “midpoint formula”. It looks like this
m=(x1+x2)/2 , (y1+y2)/2 where m means midpoint. In your case it looks like this.

Choose the answer that has a value of -8.

A. 6 - (-2)
B. 12 + -4
C. 3 - 5
D. -4 - 4

Answers

Answer:

THE ANSWER IS D

PLEASE GIMME BRAINLIEST BESTIEEE (╥﹏╥)(╥﹏╥)

It’s D
As -+- =-
And value of the greater number is given to the answer as if -4-3=-7 as 4 the greater number has a charge of -

What are the name of these angles? Are
they congruent or supplementary?

Answers

They are supplementary

Determine whether each equation is always, sometimes, or never true.
2x + 7 - x = 3 + x + 4
Always
Sometimes
Never
Empty Set

I said never but I want see if thats right

Answers

Always because all real numbers are solutions. Please give brainliest.

The diagram shows a rectangle ABCD. The point A is (2, 14), B is (−2, 8) and C lies on the x-axis. Find
(i) the equation of BC,
(ii) find coordinates of C and D

Answers

Answer:

Step-by-step explanation:

since AB and BC are perpendicular so AB.BC=0, (scalar product)

AB=(-4, -6), and BC=(xc+2, yc-8)

AB.BC= -4x-8-6y+48 =0

so the equation of BC is 2x+3y-20=0

C is on the line BC, so 2xc+3yc-20=0, but yc=0, so xc=20/2=10

AB and CD are parallel, so det(AB, CD)=0

AB and AD are perpendicular so AB.AD=0

AB=(-4, -6) and CD =(x-10, y), AD= (x-2, y-14)

det(AB, CD)=0

             x-10-y = 0 equivalent to  x-y = -10

AB.AD=0

 -4x+8-6y+84=0  equivalent to   2x+3y=44

let's solve

x-y = -10

2x+3y=44

-5y = -64, y = 64/5, x= -10+64/5=14/5

finally  D(14/5, 64/5)

Remove all perfect squares from inside the square root [tex]\sqrt{200}[/tex]

Answers

It would be 10 square root 2

What is an equation of the line that passes through the points (1, 8) and (-1, -2)

Answers

Answer:

Step-by-step explanation:

(1,8) (-1,-2)

Slope: (-2-8)/(-1-1) = -10/-2 = 5

y -8 = 5 (x - 1)

y - 8 = 5x - 5

y = 5x +3

Which equation can be solved for x in the following diagram?

Answers

Answer:

D

Step-by-step explanation:

opposite angles are equal

it would be D because both sides across the line are equal meaning both x values equal 150°

i need help with 4=2/3(2x-9

Answers

Answer:

x=15/2

Hope it helps :)

Answer:

x = 7.5

Step-by-step explanation:

4 = 2/3 (2x - 9)

4 = 4/3x - 6

4 + 6 = 4/3x - 6 + 6

10 = 4/3x

10 x 3/4 = x

x = 7.5

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