Find the Least Common Multiple (L.C.M) and Highest Common Factor (H.C.F) of 20 and 30.​

Answers

Answer 1

Answer:

LCM: 60

HCF: 10

Step-by-step explanation:

Listing Multiples

LCM:

Multiples of 20:

20, 40, 60, 80, 100

Multiples of 30:

30, 60, 90, 120

Therefore,

LCM(20, 30) = 60

----------------------------------------

Factorization

HCF:

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 10


Related Questions

please help me. B more than 9

Answers

b > 9
hope this helps!!


is x =4 a solution of the equation
13=2x + 4?

A.yes
B.no

Answers

No, it is not. If you plug 4 into the equation in the place of x, you get 13=2(4)+4

13=8+4

13=12

It equals 12, not 13.

Answer:

No

Step-by-step explanation:

Because If You Do 2 x 4 you get 8 and 8 + 4 = 12 and not 13 so the answer is 4.5 because 4.5 x 2 = 9 and 9 + 4 = 13

A tractor-trailer travels 205. 296 miles in 3. 12 hours. What is the speed at which the tractor-trailer is traveling? A. 62. 05 miles per hour B. 63. 2 miles per hour C. 64. 05 miles per hour D. 65. 8 miles per hour E. 66. 5 miles per hour.

Answers

Answer:

65.8 mph

Step-by-step explanation:

What I did was I divided 205.296 by 3.12 and I got 65.8.

This shelf is perpendicular to the wall. The shelving bracket makes an angle with the wall that measures 120°. Find the measures of the two interior acute angles shown. A. 50° and 40° B. 30° and 60° C. 46° and 20° D. 50° and 50°

Answers

Answer:

B

Step-by-step explanation

i just did it

Answer:

(B) 30 and 60 degrees

Step-by-step explanation:

You have Pennies and nickles that are equal to $8.80. You have twice the number of nickles than Pennies. Write an equation for this problem. How many nickles do you have and how many Pennies do you have?

Answers

Answer:

Step-by-step explanation:

Let's set up the variables as nickel=n and penny=p, for how many coins he has of each type. What we know is that Calvin had $8.80 total and that he has twice as many nickels as pennies. So, one equation for his total money and another for how many separate coins: 8.80 = 0.01p + 0.05n 2p=n

If eight pencils cost 5.20 what is the unit price of pencils

Answers

8 divided by 5.2

that’s all it takes

Answer:

0.65

Step-by-step explanation:

Since we have given that

Cost of 8 pencils = 5.20

We need to find the cost of 1 pencil.

For this we'll use the unitary method,

5.20 divided by 8 = 0.65

The points (-12, 6) and (-4, r) lie on a line with slope - 1/2
Find the missing coordinate r.

Answers

Answer:

r = 2

Step-by-step explanation:

Slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Substitute the known values for their respective variables and solve for the missing coordinate, r.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\ -\frac{1}{2}=\frac{6-r}{-12-(-4)}\\\\-\frac{1}{2}=\frac{6-r}{-8}\\\\ -8(-\frac{1}{2})=(\frac{6-r}{-8})-8\\\\ 4=6-r\\\\4-6=6-r-6\\\\-2=-r\\\\\frac{-2}{-1}=\frac{-r}{-1}\\\\ 2=r[/tex]

The café's menu lists 3 choices: Egg &Chips -£3.00 Sausage & Chips - £3.60 Sausage & Mash - £2.70 How much would it charge for Egg & Mash?

Answers

The price of the given menu items can be used to find the price of Egg &

Mash to be £2.1.

Response:

The price for Egg & Mash is £2.1

Which method can be used to find the price for Egg & Mash?

Let x represent the cost of Egg, let y represent the cost of Chips, let

z, represent the cost of Sausages, and a the cost of Mash we have the

following system of linear equations;

x + y = 3...(1)

z + y = 3.6...(2)

z + a = 2.7...(3)

x + a = Required

Solution:

Subtracting equation (1) from (2) gives;

z + y - (x + y) = 3.6 - 3 = 0.6

z - x = 0.6

Therefore;

z is £0.6 more expensive than x

x = z - 0.6

By plugging in the value of x = z - 0.6, gives;

x + a = z - 0.6 + a = z + a - 0.6

z + a = 2.7, which gives;

x + a = z + a - 0.6 = 2.7 - 0.6 = 2.1

Egg and Mash = x + a = £2.1

Learn more about system of simultaneous equation here:

https://brainly.com/question/1346297

(-2,3)
find tan cos sin

Answers

[tex]\huge \underline\frak \red{Answer}[/tex]

Given thing are

cos Θ = 2/3

we know that Cos Θ = Adjacent Side / Hypotenuse, so we get

Adjacent Side = 2

Hypotenuse = 3

Hypotenuse : BC = 3

Adjacent Side : AB = 2 (Adjacent to ∠ Θ)

Opposite Side : AC = ? (Opposite to ∠ Θ)

To find the Opposite Side - AC , we use Pythagoras theorem ((Hypotenuse)2 = (Leg 1)² + (Leg 2)²)

AC = √ BC² - AB²

AC = √ 32 - 22

AC = √ 9 - 4

AC = √5

Now we will try to simplify square root of 5. As no pairs can be made the final value will be

__

AC = √ 5

So Sin, Cos and Tan will be as follows -

Sin Θ = Opposite Side / Hypotenuse

__

Sin Θ = √5/3

Tan Θ = Opposite Side / Adjacent Side

__

Tan Θ = √5/2

Cos Θ = Adjacent Side / Hypotenuse

Cos Θ = 2/3

Show all your work and the answer in the space below.

Answers

The answer is 12
You have to Mutiply both sides by 8 so it would the look like 3m+4=40. Then you move the 4 over. That would look like 3m=40-4. After subtracting 4 it would look like 3m-36. Divided both sides of equation by 3. So 36 divided by 3 equals 12. M=12

Answer:

m= 12

Step-by-step explanation:

[tex]\frac{3m+4}{8} = 5[/tex]

First multiply both sides by 8 to cancel out the 8 on the left side

[tex]3m + 4 = 80[/tex]

Isolate the m so subtract 4 from both sides.

[tex]3m = 36[/tex]

Divide both sides by 3.

[tex]m = 12\\[/tex]

Solve for x using the given information. Explain your steps.

Answers

6x + ( 3x - 9) = 90°( being complementary angles )

6x+3x -9 = 90°

9x = 90° + 9

x = 99 / 9

x = 11

isaac parents paid $3,200 per month to rent an office space for their own business. Of this amount, $325 was for the utilities. What percent of their rental cost was for the utilities

Answers

Approx. 10.16%

325/3200=x/100
3200x=32500
x=10.16%

Tony wants to buy 2.3 pounds of dried berries and 2.6 pounds of trail mix. How much will he spend?

Answers

How much dose it cost per pound?

(4x+7) ° is congruent to [5(x-4)] °

What is the value of x?

Answers

Answer:

x=17

Step-by-step explanation:

1) 4x +7 = 5(x-4)      Congruent angles

2) 4x + 7 = 5x -10    Distributive Property

3) Simplify

4x + 7 = 5x - 10
-4x        -4x
  7 = x - 10
+10       +10

x = 17

8 1/3 divided by x=2 1/3 divided by 8.1

Answers

Answer:

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]

[tex]\large\underline{\textsf{What are Equations?}}[/tex]

[tex]\textsf{Equations are statements that determine 2 or more expressions are equal.}[/tex]

[tex]\underline{\textsf{This means that;}}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} \ is \ equal \ to \ \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}[/tex]

[tex]\large\underline{\textsf{What are Proportions?}}[/tex]

[tex]\textsf{Proportions are comparisons to the size, and how large/small a value is.}[/tex]

[tex]\large\underline{\textsf{What is the Cross Multiplying?}}[/tex]

[tex]\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}[/tex]

[tex]\textsf{known value by another known value, then divide the product by last known}[/tex]

[tex]\textsf{number. This sounds like a lot, but I'll give an example.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\tt \frac{1}{3} = \frac{2}{x}[/tex]

[tex]\textsf{We are asked to find x in the given proportion. We should use the cross}[/tex]

[tex]\textsf{multiplication method. Note that we should multiply the known values that are}[/tex]

[tex]\textsf{on opposite sides, and leave the known value with x as its opposite value alone}[/tex]

[tex]\textsf{until we have our product.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}[/tex]

[tex]\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow \frac{6}{1} = x[/tex]

[tex]\textsf{We'll divide by the last remaining known value, 1, then that should be the value}[/tex]

[tex]\textsf{of x.}[/tex]

[tex]\tt x = 6[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Use the Cross Multiplication Method.}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} = \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\tt 8 \frac{1}{3} \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}[/tex]

[tex]\textsf{values together.}[/tex]

[tex]\tt \frac{ \small\boxed{\tt 8 \frac{1}{3}} }{x} = \frac{2 \frac{1}{3} }{\small\boxed{\tt 8.1}} \rightarrow 67.5.[/tex]

[tex]\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt \frac{1}{3} .[/tex]

[tex]\tt x = \frac{67.5}{2 \frac{1}{3} }[/tex]

[tex]\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}[/tex]

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"

Answers

Answer:

12* y-4

Step-by-step explanation:

The first is twelve. then the asterisk is next. y is for the "number" Lastly, subtract 4.

Solve 5p(2p - 3)(p + 7) = 0.
p=___, p=____, p=_____

Answers

Answer:

5p(2p-3)(p+7)=0

10p-15 p +7 =0

10p+p=0+15-7

11p =8

11p=8

p=8/11

Answer:

p=0, p=1.5, p=-7

Step-by-step explanation:

Assuming we need the equation to equal zero we do this.

5p(2p-3)(p+7)

5p = 0        (2p-3) = 0       (p+7)= 0  Separate each part

5(0) = 0      2(1.5)-3 = 0.   (-7)+7 = 0  Replace P so the outcome is 0

  p=0,             p=1.5,           p=-7      Solution

HELP ME PLEASE HURRY THIS IS DUE IN 30 MINS

Answers

Answer:

F(x)= (x-5)(x+3)

Step-by-step explanation:

we have two roots/ X-intercepts meaning we can assume that it is a quadratic function

Can anyone please help me with this? I’d appreciate it a lot!

Answers

Answer:

(−2, −3)

Step-by-step explanation:

Let's solve your system by substitution.

x−9y=25;6x−5y=3

Step: Solvex−9y=25for x:

x−9y=25

x−9y+9y=25+9y(Add 9y to both sides)

x=9y+25

Step: Substitute9y+25forxin6x−5y=3:

6x−5y=3

6(9y+25)−5y=3

49y+150=3(Simplify both sides of the equation)

49y+150+−150=3+−150(Add -150 to both sides)

49y=−147

49y

49

=

−147

49

(Divide both sides by 49)

y=−3

Step: Substitute−3foryinx=9y+25:

x=9y+25

x=(9)(−3)+25

x=−2(Simplify both sides of the equation)

Therefore answer:

x=−2 and y=−3 which is (-2, -3)

Hope it helps!

I did the problem and also got (-2 , -3) !!

Please help me in this question!

Answers

Step-by-step explanation:

The second part fir y

Explained in pic

A list of all possible outcomes of an experiment is called:.

Answers

Answer:

sample space

Step-by-step explanation:

65 cm of 5.6 m

find the percentage

Answers

Answer:

8.61%

Step-by-step explanation:

5.6/65*100

Estimate to compare. Select < or >. Round each number to the nearest whole number to estimate each sum.

2.73 + 5.28 ? 3.12 + 1.72
estimate estimate

-------------- --------------

Answers

3+5=8
3+2=5
So your answer is 8 > 5

Solve for x

2x-3x(3+2)=10

Answers

Answer:

Step-by-step explanation:

2x - 3x(3+2) = 10

Distribute the -3x to the numbers inside the parenthesis:

2x - 9x -6 = 10

Simplify:

-7x = 16

Isolated the x:

x = 16/-7

if the radius of a circle is increased by 50 perent what will be the percent increase in the circumfrence

Answers

Answer:

50%

Step-by-step explanation:

The equation for circumference is:

[tex]C=2\pi r[/tex]

In this case, the radius and the circumference are directly proportional meaning that if the radius increases by 50%, the circumference will also increase by 50%.

Let's use some examples to prove this:

Radius : 2

Increase by 50% : 2*50%=2*(50/100)=2(1/2)=1 --> 1+2 = 3

[tex]C=2\pi r=2\pi 3=6\rightarrow 50 \ percent\ increase\ from\ 4\\C=2\pi r=2\pi 2=4[/tex]

Radius : 4

Increase by 50% : 4*50%=4*(50/100)=4(1/2)=2 --> 2+4 = 6

[tex]C=2\pi r=2\pi 6=12\pi\rightarrow50\ percent\ increase\ from\ 8\\C=2\pi r=2\pi 4=8\pi[/tex]

In both cases, when we increased the radius by 50%, the circumference also increased by 50%, proving our previous statement correct.

Therefore, when the radius of a circle is increased by 50%, the circumference will also increase by 50%

3/14/7/10

[tex] \frac{ \frac{ \frac{3}{14} }{7} }{10} [/tex]
simplify ​

Answers

Answer:

= 3/14 × 10/7

= 15/14

hope it helps!

Answer:

= 3/14 × 10/7

= 15/14

Step-by-step explanation:

branliest pls

270 students went on a field trip. 6 buses were each filled with s students. How many students were on each bus?

Answers

Answer:

45

Step-by-step explanation:

45
270/6
270 students / 6 busses

Please answer this (who ever answers correctly gets brainlest)

Answers

Answer:

18480 ft

Step-by-step explanation:

Note that 1 mile = 5280 feet. We can use this information to set up a unit converter:

[tex]3.5mi(\frac{5280ft}{1mi})[/tex]

Miles cancels out on the bottom giving us...

[tex]3.5*5280ft=18480ft[/tex]


1 mile =5280 ft so 3.5x5280=18480

What is the value of n?
Enter your answer in the box.

(NEED ANSWER ASAP. PLEASE DON'T ANSWER ANYTHING IRRELEVANT OR I'LL REPORT U. PROVIDE AN EXPLANATION AS WELL IF POSSIBLE. THANK U FOR UR HELP)

Answers

Answer:

5

Step-by-step explanation:

Well, there's a formula: to find the measure of any section, you should multiple every section to its ending after the crossing, and then make a proportion.

So, 9(n+7) = 18(n+1)

9n+63 = 18n+18

-9n+45=0

-9n=-45

n=-45/-9

n=5

If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1 2 % annual interest to ensure that the interest he receives each year is 4 1 2 % of the total amount invested?

Answers

Ben should assist additional money of 2250
Other Questions
which interest rate and time would result in the lowest total loan repayment for a %50,000 loan earning simple interest? A. 30 years at 3%B.25 years at 3.5%C.15 years at 6%D 20 years at 4.5% Help ME !! Its A Math Problem! To avoid working with messy fractions when solving a quadratic equation by completing the square, the b value should be:negativezerooddeven A student wants to test how plants grow in differentcolors of light. Thinking about this experiment, whatare some of examples of each of the following? List atleast two in each.DATAVARIABLESCONTROLS Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary. Charlene is going to reduce her net income by $125 each month and put this money towards paying down her debt. What will Charlenes new net income be? a. $113. 70 b. $176. 70 c. $229. 95 d. $238. 70. What is the concentration of the following:2.0mol of zinc sulphate in 10 dm^3 of solution Information from the taste buds travels to an area of the. Give answer as positive exponent What flag is called "lunifoli" in french, one of its official languages?. What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale. * 12 3 X W3 x 12 Z Y Your answer Please helpAlso the question with the triangle isWhich figures appear to be congruent? What does the statement mean? Tu eres; what does a(b-c) = to? What does this piece of evidence best support? the collision theory the Maxwell-Boltzmann distribution the effect of pressure on reaction rates the effect of temperature on reaction rates. Assume that there is a puddle that contains 12.0 kg of water and it froze outside since it is -1C. Thecustodian threw 6.00kg of salt (NaCl) onto the puddle and we assume that all the water melted and thesodium chloride completely dissolved into the water. What temperature would it need to be to re-freezethat solution? 2 2/5 divided by 2 1/10 there are 3 piles papers on a desk each pile has 21 papers how many papers are there total Which part of the volcano extends below the bedrock? Up to this point, the only types of numbers you've seen have been rational numbers. You can write any rational number as a fraction. The prefix ir- means not. What do you think it means for a number to be irrational? Can you think of any numbers that are irrational? What is the empirical formula for CH2OHCH2OH? How many protons, neutrons, and electrons does cobalt-60 have? Is this a "normal" isotope of cobalt and how do you know?