how to find the hcf and the lcm of numbers using prime factorization.

lcm
30 and 12.

hcm
12 and 20​

Answer:

n=3m+5

n−2m=3

\hboxsubstitute3m+5forninthesecondequation:

3m+5−2m=3

m+5=3

m=3−5

m=−2

n=3m+5

n=3×(−2)+5

n=−6+5

n=−1

(m,n)=(−2,−1)

The answer is C.

The probability that Harold selected a pink square tile, and either a red or a blue round tile is 1/9.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Considering the selections are independent, their combined probability is the product of the probabilities of the individual events.

 P(pink square) = (pink squares) / (squares) = 16/60 = 4/15

 P(red or blue round) = (red or blue rounds) / ( rounds) = 15/36

Then, the Total probability

 P(E) = (4/15)(15/36)

 P(E) = 4/36

 P(E) = 1/9

So, the probability that Harold selected a pink square tile, and either a red or a blue round tile is 1/9.

Learn more about probability here;

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Answer:

Harold randomly selected one square tile and one round tile from the sets shown below. What is the probability that Harold selected a pink square tile, and either a red or a blue round tile?

Square tiles: 20 green, 16 pink, 9 red, 10 yellow, 5 blue.Round tiles: 5 black, 4 pink, 9 red, 6 blue, 3 yellow, 8 green, 1 white.

a.

3/5

b.

14/60

d.

4/45

Step-by-step explanation:

Edge 2022

The time it will take Carley's dad to mow the lawn is 3.3 hours.

Rate is the ratio between two related quantities in different units. Therefore,

The rate Carley do the  lawn = 1 / 5

When they work together they do it the 1 / 2 rate.

Therefore,

let

the hours it takes Carley dad = x hours . Therefore,

1 / 5 + 1 / x  = 1 / 2

x + 5/ 5x = 1 / 2

cross multiply

2(x + 5) = 5x

2x + 10 = 5x

10 = 5x - 2x

10 = 3x

x = 10 / 3

x = 3.3 hours

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Answer: 147 Degrees

Step-by-step explanation

The size of the final unknown interior angle in a polygon is 147 degrees.

Given that,

The other interior angles are 162°, 115°, 120°, 148° and 85°.

We assume that there is an equation (2n - 4) 90.

Here n be 7.

Based on the above information, the calculation is as follows:

= (2n - 4) 90

= ((2) (7) - 4) 90

= 10 (90)

= 900

Now the size of the unknown interior angle is  

= 900-(162+125+148+105+98+115)

= 900 - 753

= 147°

Therefore we can conclude that the size of the final unknown interior angle in a polygon is 147 degrees.

Answer:

30,976

Step-by-step explanation:

=}.

[tex](11 {}^{3} \times 4 { }^{2} \binom{}{11 {}^{2} } ) {}^{2} [/tex]

=}.

[tex](11 \times 4 {}^{2} ) {}^{2} [/tex]

=}.

[tex]121 \times (4 {}^{2} ) {}^{2} [/tex]

=}.

[tex]121 \times 256[/tex]

=}. 30,976

Answer:

Answer given above

Step-by-step explanation:

11^2 * 4^4

Answer:

21,42/2,-(42/-2)

Step-by-step explanation:

please mark me as brainlest

Answer:

3:30 is the answer

Answer:

the answer is 1323. i took the quiz on k12 and this was the answer

Step-by-step explanation:

hi

1323

bye (disco lovely_jinni #2028

Answer: (-√(3) /2, 1/2)

Step-by-step explanation:

The triangle created is a 30 60 90 triangle, and thus the opposite side of the angle equals the y-coordinate which equals 1/2, and the adjacent side of the angle equals the x-coordinate which equals -√(3) /2

Answer:

1. -39/50

2. -0.77777

3. square root of 92

4. 9.73

Answer:

75

Step-by-step explanation:

322 = 2(86) + 2w

322 = 172 + 2w

322-172 = 172 +2w -172

150 = 2w

150/2 = 2w/2

w=75

Answer: w=8.5

Step-by-step explanation:

Just did it.

Answer:

B. y = 5x-1

Step-by-step explanation:

B. y = 5x-1 is not an exponential function.

Answer: 240 minutes

Step-by-step

60 times 4 hour = 240 minutes

Answer:

8x+3y=-6

Step-by-step explanation:

Answer:

x-17.5

Step-by-step explanation:

angles in a triangle add to 180

3x+8+(2x-3)+5x = 180

simplify(collect like terms):

10x + 5 = 180

solve:

10x = 175

x=17.5

Answer:

[tex]\huge\boxed{\sf \$ 3,114}[/tex]

Step-by-step explanation:

Annual Income of Sam = $37,368

To find the monthly income (given that he earns an equal amount of money every month), we can divide the annual income by 12. (Each year has 12 months)

Monthly Income:

= $37,368 / 12

= $3,114

[tex]\rule[225]{225}{2}[/tex]

Answer:

if one gallon is 4.99, 20 gallons?

write a ratio to make it easier

gallon : price

1 4.99

20 x

cross multiply,

x = 20 × 4.99

x=99.8

Answer: Yes

Step-by-step explanation:

Step #1: Lacey has 2 3/4 yards of wrapping paper remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. First, you must find the total number of yards of wrapping paper needed for six boxes.

Number of boxes * Number of wrapping paper required for each box

6 x 3/8 = 9/4

Step #2: Subtract the number of yards of wrapping paper remaining by the total number of wrapping for 6 boxes.

2 3/4 - 9/4 = 1/2

Step #3: Determine and solve whether Lacey will have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper. To solve, subtract the remaining amount of wrapping paper by the amount of wrapping required for a book.

1/2 - 1/2 = 0

So, yes Lacey will have just enough wrapping paper to also wrap a book that requires 1/2 yard of paper.

Answer:

C is the answer

Step-by-step explanation:

people who usually volunteers really don't get represented

Answer:

For the first question, D is the correct answer.

For the second question, B is the correct answer.

Step-by-step explanation:

First question:

[tex]5.89 + .61(30) = 24.19[/tex]

[tex]5.89 + .61(35) = 27.24[/tex]

So D is the correct answer.

Second question:

A function is a relation in which each element in the domain corresponds to one and only one element in the range. That said, relations A, C, and D are not functions since in each of these relations, one element in the domain corresponds to two elements in the range. Only relation B is a function.

The length of the other dimension rectangular portion of the garden is 12 feet.

Area is the amount of space occupied by a two dimensional shape or object.

The area of each semicircle = (1/4) * π * radius² = (1/4) * π * 4² = 12.56 ft²

Let x represent the other side of the rectangle, hence:

Area of garden = 2(12.56) + 4x = 4x + 25.12

Hence:

73.12 = 4x + 25.12

x = 12 feet

The length of the other dimension rectangular portion of the garden is 12 feet.

Find out more on area at: https://brainly.com/question/25292087

Answer:

37 is the answer for the first one because 600-45=555/15=37 and 270-15=255/15=17 for the second one.

When trapezoidal prism undergoes a dilation, the size of the prism changes

The height of the image is 52.2 meters

The given parameters are:

A1 = 35 m²

A2 = 315 m²

H1 = 5.8 m

To calculate the height of the image, we make use of the following equivalent ratio

A1 : H1 = A2 : H2

So, we have:

35 : 5.8 = 315 : H

Express as fractions

35/5.8 = 315/H

Make H the subject

H = 315 * 5.8/35

Evaluate the product

H = 52.2

Hence, the height of the image is 52.2 meters

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

17.4

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

a foot is 12 inches so 8x12 would be 96 and if you add the other 10 inches that would be 106

Answer:

8p+5p

=13p

=6a-5b procesa

Answer:

4.67

Step-by-step explanation:

You can get this by adding the numbers together and dividing them the numbers of numbers in data set, or like this

2+6+7+2+2+9=28 Then count how many numbers you added.

2.Divide 28 by how many numbers you counted.