Find the least common multiple (LCM) of 7 and 12.

Answers

Answer 1

Answer:

84

Step-by-step explanation:

Method 1 ; Prime factorization

[tex]7 ,12\\\mathrm{Prime\:factorization\:of\:}7:\quad 7\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\cdot \:2\cdot \:3\\= 847\times\:2\times\:2\times\:3\\= 84[/tex]

Method 2 ;Multipliers

[tex]\mathrm{The\:multipliers\:of\:}7\\=7,\:14,\:21,\:28,\:35,\:42,\:49,\:56,\:63,\:70,\:77,\:84,\:91,\:98,\:105...\\\\\mathrm{The\:multipliers\:of\:}12\\=12,\:24,\:36,\:48,\:60,\:72,\:84,\:96,\:108,\:120,\:132,\:144,\:156,\:168,\:180...\\\\\mathrm{The\:smallest\:common\:number\:is} \\=84[/tex]

Method 3 ; Using GCD

[tex]lcm\left(a,\:b\right)=\frac{|a\cdot b|}{gcd\left(a,\:b\right)}\\\\\mathrm{Greatest\:Common\:Divisor\:of\:}7,\:12:\quad 1\\=\frac{\left|7\times\:12\right|}{1}\\\\= 84[/tex]


Related Questions

.4r when r=6
someone help

Answers

Answer:

24

Step-by-step explanation:

4(6)=24

The diameter of a circle increased from 25cm to 25.8cm. Find the percentage increase in its circumference.​

Answers

Answer:

3.1% increase

Step-by-step explanation:

Diameter1=25cm

Radius1=12.5cm

Circumference1=2x22/7x12.5

Diameter2=25.8cm

Radius2=12.9cm

Circumference2=2x22/7x12.9

% increase =Circumference2-Circumference1/Circumference2 x 100%= 2x22/7x12.9-2x22/7x12.5 / 2x22/7x12.9 x100%

12.9-12.5/12.9 x 100%

0.4/12.9 x 100%

4/129 x 100%

3.1%

The endpoints of EF
are E(1,3) and F(-2,8).
Find EF.

Answers

Answer:

EF = [tex]\sqrt{34}[/tex] ≈ 5.83

Step-by-step explanation:

Calculate EF using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)

EF = [tex]\sqrt{(-2-1)^2+(8-3)^2}[/tex]

    = [tex]\sqrt{(-3)^2+5^2}[/tex]

    = [tex]\sqrt{9+25}[/tex]

    = [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 2 dec. places )

A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $24.98. Cole bought several hats, and the total cost was $99.92 , How many hats did cole buy ?

Answers

Answer:

8 hats

Step-by-step explanation:

1. .50 x 24.98

2. 12.49 x 8

3. solve 12.49 x 8

4. Equals 99.92

Hope this helps you an stay safe:)

three times the sum of a number and 15 is 24

Answers

Answer:

[tex]\huge\boxed{\sf x = -7}[/tex]

Step-by-step explanation:

Let the number be x

So,

=> The sum of number and 15 is x + 15

=> Three times will be 3(x+15)

Given that it equals 24

So, the given condition is:

3(x+15) = 24

Resolving Parenthesis

3x + 45 = 24

Subtracting 45 to both sides

3x = 24 - 45

3x = -21

Dividing both sides by 3

x = -7

The answer is -7 since your multiplying 3x the sum

How do you add and subtract intergers.

Answers

Answer:

Add a positive integer by moving to the right on the number line.

Subtract an integer by adding its opposite.

Step-by-step explanation:

Step-by-step explanation:

1, Add a positive integer by moving to the right on the number line.

2, Add a negative integer by moving to the left on the number line.

3, Subtract an integer by adding its opposite.

HELP! I'LL MARK BRAINLEST!! Write a story that matches the expressions and equation shown on the left. Then solve the equation and find each person’s age.

Answers

Answer:

Felipe is "F" years old, Felipe's sister is 6 years younger then Felipe, Felipe's mom is times minus 6

Step-by-step explanation:

NEED ALL THESE 3 ANSWERED!!! 15 POINTS!!!

① Solve the equation for x:

○ 7 - x / 3 = 5

② Solve the equation for x:

○ 8 - 1/2x = 3

③ Solve the equation for x:

○ 3x = 4x - 5

Answers

Answer:

1) x= - 8

2) x = 10

3) x= 5/7

a piece of lumber is 2 1/4 ft long is cut into 3 equal pieces .How long will each piece of cut wood be ?

Answers

Answer: Each piece would be 3/4 feet long

Step-by-step explanation:

If the piece of  lumber is 2 1/4 ft long, and it is cut into 3 pieces then divide

2 1/4 by 3 to find out how long each piece of cut wood would be.

2 1/4  is the same as 9/4

[tex]\frac{9}{4} / \frac{3}{1}[/tex] = 9/12  which also simplifies to  3/4

In the 21st century, people measure length in feet and meters. At various points in history, people measured length in hands, cubits, and paces. There are 9 hands in 2 cubits. Write an equation to express the relationship between hands, LaTeX: hh, and cubits, LaTeX: cc. Explain your reasoning under your equation.

Answers

Answer: 1 hand = 0.22... cubits.

Step-by-step explanation:

We want to write the relation between hands and cubits.

We know that there are 9 hands in 2 cubits.

So we can write:

9 hands  = 2 cubits.

Now, we want to have an unit in the left side (so we can see how many cubits are equal to exactly one hand).

Then we can divide by 9 in both sides of the equality.

(9 hands)/9 = (2 cubits)/9

1 hand = 0.22... cubits.

Answer:

22.5 hands = 3 paces

Step-by-step explanation:

Nobody answered b yet again.

A laser printer prints 200 pages in 4 minutes. How many pages does it print in 25 minutes?​

Answers

Answer: I think the answer is 1250.

Step-by-step explanation:

I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.

Solve for x: -1 < x + 3 < 5 ​

Answers

Answer:

[tex]x=-4<x<2[/tex]

Step-by-step explanation:

[tex]-1<x+3<5[/tex]

This inequality consists of 3 parts.

To solve this inequality, you will have to add -3 in each part of the inequality.

[tex]1+-3<x+3+-3<5+-3[/tex]

The answer to this is:

[tex]-4<x<2[/tex]

So that means x is equal to

[tex]x=-4<x<2[/tex]

Hope this helps!

4(-x+4)=12 multi step equation

Answers

Answer:

1

Step-by-step explanation:

4(-x+4)=12

first is to open the bracket giving u

-4x+16=12

since 16 is adding where it is when takrn to the other side it will be subtracting giving u

-4x=12-16

-4x=-4

x= -4/-4

x=1

A rectangle has side lengths of 2 units and 4 units. Can you form a different quadrilateral using the same four side lengths? Explain why or why not Support your explanation with drawings. please explain this for me. im so lost​

Answers

Answer:

a kite

Step-by-step explanation:

Yes, you can form a kite.  The top two would be 2 units, and the bottom two would be 4 units.  It would still have two of each, just like the rectangle, but would be a different quadrilateral.  

Alternately, you could turn the rectangle into a parallelogram by leaning it.  Rectangles have 90 degree angles, so it wouldn't be a rectangle anymore.

Please help!!! It’s Timed!

Answers

Answer:

7/25 im pretty sure sure

A stocks value decreased by 7 points each day for 2 weeks. Which numeric expression can be used to find out what the stock value was after the 2 weeks?

Answers

Answer:

x - 98

Step-by-step explanation:

Given the question :

A stocks value decreased by 7 points each day for 2 weeks. Which numeric expression can be used to find out what the stock value was after the 2 weeks?

Let the initial value of the stock = s

Rate of decrease = 7 points per day

Number of days in a week = 7

Hence, 2 weeks = ( 2 * 7) = 14 days

Total decrease in stock over the 2 weeks period :

(Decrease per day × number of days)

(7 points × 14) = 98 points

Stock value after 2 weeks :

(Initial stock value - decrease in stock over the 2 weeks period)

= x - 98

Use the number line to determine which of the following statements is true. Each tick is 1 unit. The quotient of P and S is positive. The absolute values of Q and R are the same. Q and S are opposite numbers. The product of R and S is negative.

Answers

Answer:

The absolute values of Q and R are the same

Step-by-step explanation:

Hope this helps! I had the same question lol

The absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

What are arithmetic operations?

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

A number line is shown in the picture.

From the number line:

= 4/2=2

The absolute values of Q and R are the same.

Thus, the absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

Use the number line to determine which of the following statements is true. Each tick is 1 unit.

The quotient of P and S is positive.

The product of R and S is negative.

The absolute values of Q and R are the same.

Q and S are opposite numbers.

Learn more about the arithmetic operations here,

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What is the mass of the Apple juice with a volume of 200.0 mL? The density of apple juice is 0.789 g/mL.

Answers

Answer:

mass = 157.8 g

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question

Density = 0.789 g/mL

volume = 200 mL

Substitute the values into the above formula and solve for the mass

That's

mass = 0.789 × 200

We have the final answer as

mass = 157.8 g

Hope this helps you

What is the solution to the proportion? Round the answer to the nearest tenth if necessary. StartFraction 52 over x EndFraction = StartFraction 9.5 over 3.25 EndFraction x = 14.6 x = 17.8 x = 157.8 x = 169.0

Answers

Answer: 17.8

Step-by-step explanation:

The solution to the proportion would be x = 17.8 which is the correct option (B).

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been the given proportion as:

⇒ 52 : x = 9.5 : 3.25

⇒ 52/x = 9.5/3.25

⇒ 52/x = 2.923

Cross multiplication, and we get

⇒ x = 52/2.923

Apply the division operation,

⇒ x = 17.8

Therefore, the solution to the proportion would be x = 17.8.

Learn more about the Ratio here:

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Use the Distributive Property to multiply 9 and 37 in your head
What is the answer?

Answers

Answer:

270 + 63 = 333

Step-by-step explanation:

If you did it in your head, it would look like this:

9(30) + 9(7)

270 + 63 = 333

What is f(x) times g(x)

Answers

Answer:

[tex]fg {x}^{2} [/tex]

Step-by-step explanation:

f(x) × g(x)

[tex]fg {x}^{2} [/tex]

it is not easy to explain but i hope u like it ‍❤️‍‍❤️‍‍❤️‍

For any question comment me

A. Can trace a particular file in a few seconds. B. Help us in many ways by coming up with new information. C. Are more useful in an office setting. D. Are now more costly and compact.

Answers

Answer:

A. can trace a particular file in a few seconds.

Step-by-step explanation:

The new locator has now easy access and user friendly. The data saved here is useful when you are locating a file. It will take few seconds to locate a file. This saves time in finding the relevant files. The new locator is user friendly and is not really technical to operate it.

Which statement correctly describes the translation of trapezoid P to create the image

Answers

Answer:

C. 8 units to the right and 5 units down

Step-by-step explanation:

Because if we move the trapezoidal to the right 8 times, then 5 units down. It becomes the image need it needs to be.

I hope this helps! I'm sorry if it's wrong.

r+(-8) = 10
Can someone help me ?

Answers

this should be the right answer

which equation should you solve to find x?

Answers

Answer:

B

Step-by-step explanation:

sin26° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → B

The equation that should be solved in order to find x is [tex]sin\ 26^\circ =\frac{x}{10}[/tex]. The correct option is C. [tex]sin\ 26^\circ =\frac{x}{10}[/tex]

Trigonometry: Solving a right triangle

From the question, we are to determine which equation should one solve to find x

Considering the right triangle in the diagram,

Opposite = x

Adjacent = 9

Hypotenuse = 10  

By SOH CAH TOA

We have that

[tex]sin\theta = \frac{opposite}{hypotenuse}[/tex]

Where θ is the angle

Then, we can write that

[tex]sin\ 26^\circ =\frac{x}{10}[/tex]

This is the equation that should be solved in order to find x

Hence, the equation that should be solved in order to find x is [tex]sin\ 26^\circ =\frac{x}{10}[/tex]. The correct option is C. [tex]sin\ 26^\circ =\frac{x}{10}[/tex]

Learn more on Trigonometry here: https://brainly.com/question/20734777

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Two equations are shown. Equation 1: -0.5x-4=1.5 Equation 2: -0.5(x-4)=1.5 Select each statement that must be true. PLZ HELP ME!

Answers

Answer:

Equation 2 is correct

Step-by-step explanation:

Equation 1 is 2, not 1.5

Answer: C and D

Step-by-step explanation:

The value of c in the first one is less then the value of the second one. Also equation 1 equals -11 and equation 2 equals 1 so that’s why it’s c and d.

to which set of numbers does the number-5 belong? select all that apply
A.integer
B.natural numbers
C.rational numbers
D.real numbers
E.whole numbers

Answers

A, C, D are the correct answers.

-5 is neither a whole number nor a natural number. This is because negative numbers are not included in these. Hope this helps! Let me know:)

The horizontal distance of E is 9 units to the east of point F. Determine the coordinates of F if the coordinates of E are (3,8).​

Answers

Answer:

(-6,8)

Step-by-step explanation:

By reading the question you can determine that point E is to the east, or the right, of point F by 9 units. This ultimately means you must subtract 9 units on the horizontal (x-axis) in order to get to point F.

Find each sum or difference 12+ (-4)

Answers

Answer:

12 + (-4) = 8

Step-by-step explanation:

12 + (-4) = 8

12 + (4) = 16?

Answer:

8

Step-by-step explanation:

You remove the plus sign when you have both a negative and positive sign.

Now you are left with 12-4 which equals 8.

Hope that helped

A 32 ounce soft drink costs $1.83. Approximately what is the price per ounce

Answers

Step-by-step explanation:

divide 32 by 1.83 to get the answer

the answer is 17.4863387978

round it off

the final answer should be:

17.5 cents

The price per ounce is approximately 5.72 cents per ounce.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

A 32-ounce soft drink costs $1.83.

So,

32 ounce ⇒  $1.83

Divide by 32 into both sides

1 ounce ⇒ 1.83/32

1 ounce ⇒ $0.0571875 = 5.72 cents.

Hence"The price per ounce is approximately 5.72 cents per ounce".

For more information about ratio and proportion,

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