In how many ways can 21 be expressed as the sum of 3 prime numbers?

Answers

Answer 1

Answer:

I think by using a prime factor tree


Related Questions

What is the unit rate for the ratio 4/7: 8/21?

Answers

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

[tex]Ratio = 4/7 : 8/21[/tex]

Required

Determine the unit rate

To do this, we need to express the ratio as:

[tex]Ratio = m : 1[/tex]

Where m is the unit rate

[tex]Ratio = 4/7 : 8/21[/tex]

Express as fraction

[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]

Solve

[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Express as ratio

[tex]Ratio = 1.5 : 1[/tex]

Hence, the unit rate is 1.5

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Answers

58x9= 522
26 - 522 = -496

Answer:

-496

Step-by-step explanation:

it's right :)

6. What is the slope and y-intercept of the line shown below?
(4,3)
(1,3)

Answers

Answer:

Hi! The answer to your question is Slope: 0, Y-Intercept: 3

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Isaiah ran 100 meters on a 200 meter track. He started running on the 19 meter mark. On what Mark did he finish his run

Answers

Answer:

119

Step-by-step explanation:

19+100=119

Depends on the amount of marks but if there are 200 then the answer would be 119

Will give brainliest!! PLEASE HELP NEED THIS NOW DUE TODAYYY!!!
My math students challenged me, their math teacher, to play a dice game with them. They will give me 10 cents for each odd sum I roll with two dice, but I have to give them 10 cents for each even sum they roll with the two dice. I do not think this game is fair. I think I am going to get cheated! I noticed that I cannot roll one of my odd numbers: 1!

Should I play this game with the students? Use your mathematical thinking to convince me whether or not this is a fair game.

Answers

Answer:

No

Step-by-step explanation:

You can if you want, but there is a total of 6 on the dice. And there are 3 odds. Each odd you role you gain 10 cents, but each time a student roles a even they also get 10 cents. So you will get paid and in a game of chance and gambling. You won't gain anything if ALL of the students are together and going against you. Its like 1 vs 25 and you would have to pay a lot of students at one time to play this game. So logically no, because you won't gain money. But also you could if you always get odds, but again. That's a 3/6 or 1/2 each time you role to get a odd number.

Hope that helped, or even made sense xD

what numbers multiply to give 100 and when summed up give 25................................​

Answers

It’s 3 times 25 plus 74

5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd

Answers

15.6 . hope this helps

A circular wheel has a diameter of 42 cm. How far will it roll in 5
revolutions?​

Answers

Answer:

3.142

Step-by-step explanation:

Answer:

659.75 cm

Step-by-step explanation:

First, find the circumference with the formula C = 2[tex]\pi[/tex]r

The diameter is 42 cm, so the radius will be 21 cm

Plug in the radius into the equation and solve for C

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

C = 2[tex]\pi[/tex](21)

C = 131.95

Find how far it will roll by multiplying this by 5

131.95(5)

= 659.75

So, in 5 revolutions, it will roll 659.75 cm

I have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?

Answers

Answer:

 7.5 min for each assignment

Step-by-step explanation:

1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:

15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60

Or we could multiply one hour, or 60 minutes, by  3 /4 .

    60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45

Three fourths of an hour is 45 minutes.

to find  time for each assignment =45/6

          7.5 min

Housing Price.The file calledsaratoga.JMPcontains data on 1728 houses in Saratoga, NewYork in the year 2006. The dataset includes many features of houses such as the selling price($), total living area (square feet), age (years), value of the land ($1000) the house was buildon, number of bedrooms and bathroom. We want to predict the selling price of a house ($)based on the total living area.(a) Identify the response variable (y): (Choose one.)i. total priceof all houses in the U.S.ii. average priceof houses in the U.S.iii. priceof a house in Saratoga, N.Y.

Answers

Answer:

iii. priceof a house in Saratoga, N.Y.

Step-by-step explanation:

In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.

Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.

In this question:

Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.

5x^2y + 6x^2y^3 - 3x^3y^2=0

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:  

A company that manufactures electronic components wants to know the mean discharge time of one particular type of capacitor that it makes. In order to estimate this value, they randomly select 100 capacitors and measure how long they take to discharge. The mean of this sample was 7.25 seconds with a standard deviation of 0.15 seconds. Assuming that this distribution is normal, construct a 99% confidence interval to estimate the mean discharge time for all capacitors of this type. Is this question asking for a confidence interval or hypothesis test

Answers

Answer:

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of sample x⁻ = 7.25 seconds

Given that the standard deviation of the sample (S)  = 0.15 seconds

Level of significance = 0.01

Degrees of freedom = n-1 =100-1 =99

t₀.₀₁ , ₉₉ = 2.3646

We have to find that the 99% of the confidence interval of the mean

Step(ii):-

99% confidence interval to estimate the mean discharge time for all capacitors

[tex](x^{-} - t_{0.01 , 99} \frac{S}{\sqrt{n} } , x^{-} + t_{0.01 , 99} \frac{S}{\sqrt{n} } )[/tex]

[tex](7.25 - 2.3646 \frac{0.15}{\sqrt{100} } , 7.25 + 2.3646 \frac{0.15}{\sqrt{100} } )[/tex]

(7.25 - 0.0354 , 7.25 + 0.0354)

(7.2146, 7.2854)  

Final answer:-

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Evaluate x^4 • x^-2 when x = 5

Answers

Answer:

x^4 • x^-2 = x^6

Step-by-step explanation:

Aaron has a pencil that is
foot long.
foot long. He has a pen that
is 0.7 foot long. Measured in
feet, how much longer is Aaron's
pencil than pen?

Answers

Answer: 0.1 ft longer

4/5 = 0.8

0.8 - 0.7 = 0.1

Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent did the points scored change

Answers

Answer:

40%

hope this helped :)

40 percent is the answer

y divided by the product of 3 and x

Answers

Answer: y/3x

Step-by-step explanation: 3 times x is 3x, so y/3x

The point at which two sides of a polygon meet is called a(n).
OA) segment
OB) face
OC) edge
OD) vertex

Answers

Answer:

its called a vertex

Step-by-step explanation:

The line segments that form a polygon are called the sides of a polygon.

A point where two sides meet is a vertex.( in plural form is vertices)

I need help if right I will mark you

Answers

Answer:

B

Step-by-step explanation:

The area of a square is 54 cm. What
is the length of each side of the
square?
A. between 8cm and 9cm
B. between 5cm and 6cm
C. between 6cm and 7cm
D. between 7cm and 8 cm

Answers

area is a^2 since all the sides r the same length
i’d say between 7cm and 8cm

List all of the factors of 64. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a
space after the comma.)
The solution is
I
Submit
Pass
Save and close
Don't know answer
ne web and Windows

Answers

Answer:

{1,2,4,8,16,32,64}

Step-by-step explanation:

1×64=64

2×32=64

4×16=64

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points....

Answers

Answer:

D

Step-by-step explanation:

1/12 X 110 = .0833333333 x 110 = 9.16

D. 9

Step-by-step explanation:

110÷12 = 9.1 however just round down to 9

since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it

Find the volume of the following figure using unit cubes.

Answers

Answer:

Volume : 94

Step-by-step explanation:

2(4 x 5) = 40

2(3 x 5) = 30

2(3 x 4) = 24

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

40 + 30 + 24 = 94

Plz I need to know this

Answers

it would be a triangular prism

Answer:

triangular prism

Step-by-step explanation:

Sean earns $8.50 per hour and made a total of $80.75 today. How many hours did he work?

Answers

Answer: 9.5 hours

In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours

Step-by-step explanation:

Find the value of g(5) if g(x) = {-2x

Answers

Answer:

-10

Step-by-step explanation:

g(5) for g(x)= -2x

we put 5 to x

g(5) =  -2.5

       =-10

o study student engagement, a university surveys 1,390 college freshman and determines that 470 of them participate in a recreational sport. The university would like to estimate the proportion of all college freshman that participate in a recreational sport at a 95% confidence interval. What is the upper bound of the confidence interval built by the university

Answers

Answer:

46

Step-by-step explanation:

If y varies directly as x and x=6 when y = 3 what will y be when x = 10

Answers

Answer:

y = 5

Step-by-step explanation:

50 - (14 + 12 +2(5) + 2(2) + 3)

Answers

Answer:

50 - (14 + 12 +2(5) + 2(2) + 3)

solve the brackets first

50 - (14 + 12 + 10 + 4 + 3)

50 - (14 + 12 +2(5) + 2(2) + 3)

50- 43

7

Maria had 4 full cement blocks and one that was 5/9 the normal size if each full block weighed 3 8/9 pounds what is the weight of the blocks maria has

Answers

Answer:

17 and 58 over 81 pounds

Step-by-step explanation:

Can someone please help me out with this? I can’t figure out exactly what they are saying.

Answers

Answer:

Its English :))))))

Answer:

i would go fro the first one

Step-by-step explanation:

its asking whitch maple have the more absolute deviations

Other Questions
703.36 round nearest whole number HELP PLZ WILL MARK BRAINLEST Question 23 Multiple Choice Worth 3 points)(05.02 MC)Which of the following describes how trade between the countries of North America is affected by their geographic location?O High taxes make it expensive for these countries to trade with each other.Oit costs much less to transport goods because the countries border each other.O Moving products is difficult since few rivers flow from the U.S. to other countriesTrade is not desired since they are close together and have the same natural resources Will give brainliest!! PLEASE HELP NEED THIS NOW DUE TODAYYY!!!My math students challenged me, their math teacher, to play a dice game with them. They will give me 10 cents for each odd sum I roll with two dice, but I have to give them 10 cents for each even sum they roll with the two dice. I do not think this game is fair. I think I am going to get cheated! I noticed that I cannot roll one of my odd numbers: 1!Should I play this game with the students? Use your mathematical thinking to convince me whether or not this is a fair game. What is the central idea of the passage?A Teenage girls often use social media to organize and unitewith people.B Teenage girls have always had a role in promoting socialchange in Nashville.C A group of teenage girls were able to use social media to plan a successful protest.D A group of teenage girls were able to use social media to promote the role of black women in protesting.LEH One gallon of gasoline (C8H18) weights about 6.3 pounds. Burning gasoline with excess of oxygen forms water and carbon dioxide. When 3.1 gallons of gasoline burn, how many pounds of CO2 emit into the air?FW: C = 12; H = 1; O = 16. Why was the Medieval Period once considered the "Dark Ages"? There was no electricity to provide light.A limited amount of written records survived.Castles were very dark and did not let in much light.The Church did not allow writing during the time PromptPLEASE HELP!!( 5 paragraph essay )Writing prompt: Write an argumentative essay for or against maintaining traditional coming-of-age ceremonies, such as a quinceaera i dont say bla bla bla or do i????? Which of the waterforms on the map above is not identified correctly? \AllCity, Inc., is financed 40% with debt, 8% with preferred stock, and 52% with common stock. Its cost of debt is 5.7%, its preferred stock pays an annual dividend of $2.49 and is priced at $30. It has an equity beta of 1.15. Assume the risk-free rate is 1.7%, the market risk premium is 7.3% andAllCity's tax rate is 35%. What is its after-tax WACC? [Note: Assume that the firm will always be able to utilize its full interest tax shield.] Which of these actions is an example of erosion caused by gravity?A.Constant freezing and thawing water forming a hole in an asphalt roadB.Pieces of rock breaking off and falling from a mountain topC.Chemicals in the air dissolve minerals in a marble statueD.Plant roots widening cracks in a large granite rock Is this is it rational or irrational? If rational prove it by converting it to a fraction 5x^2y + 6x^2y^3 - 3x^3y^2=0 Remove brackets using the distributive law: -9(2r - 3s) * what do you think is the meaning of road rage? Pls Help and put a proper answer! You want to buy a digital camera that costs $234. You have saved $50 so far. You earn $6.50 per hour at your summer job. Write and solve an inequality that represents the number of WHOLE hours you need to work in order to buy the digital camera. find the arc length of the bolder arcA) 283.5 miC) 733.0 miB) 10.2 miD) 73.3 mi Can someone please help There are 85 mini chocolates in a bowl. The ration of kit kats to hersheys bars is 8:7. About how many kit kats were there?