Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).


And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL

Answers

Answer 1

Answer:

As 2021 and 1927 does not have any product of primes

HCF and LCM of 2020 and 1926 is shown below

Step-by-step explanation:

2020 = 2^2 × 5 × 101

1926 = 2 x 3^2 x 107

2  is the HCF

2 x 2 x 3 x 3 x 5 x 101 x 107  = 1945260

1945260 is the LCM

2022 and 1928 both have product of primes and their HCF and LCM is

1949208 is the LCF and 2 is the HCF

1949208 - 1945260 = 3948

3948/2 = 1974

2022-1928 = 94

2020 - 1926 = 94

1974/94 = 21

and brings us back to our year again.

Happy New Year to you.


Related Questions

PlEASE HELP ILL GIVE OUT BRAINLEIST

Answers

Try 4 dollars and $.25

PLZ HELP ASAP WILL GIVE BRAINLIEST

Answers

can anyone help me on my recent question please

Kellen got an e-mail from his bank on June 7th, June 21st, July 5th, and July 19th. Use inductive reasoning to predict the next time Kellen will receive an e-mail from his bank. A. July 21st B. July 26th C. August 2nd D. August 3rd

Answers

Answer:

August 2nd

Step-by-step explanation:

31 days in july, last email on the 19th

19-5=14

31-19=12

12+2=14

August 2nd, please mark brainliest

Answer: August 2nd

Explanation:

From:
07/06 to 21/06 is a total of 14 days
21/06 to 05/07 is also a total of 14days
05/07 to 19/07 also took 14 days
Therefore, the next email will be sent in another 14 days which is August 2nd (02/08)

2x+3/4 = x+7/3

WHAT DOES X EQUAL PLEASE HELP ME!!!

Answers

2x + 3/4 = x + 7/3 <=>

2x - x = 7/3 - 3/4 <=>

x = 28/12 - 9/12 <=>

x = 19/12
X equals 19/12 .....

a bag with 6 marbles has 3 red marbles one yellow marble and two blue marbles a marble is chosen from the bag at random what is the probability that it is red write in fraction in simplest form​

Answers

3/6. Simplified is 1/2 for red (1/2 is your answer).


2/6. Simplified is 1/3 for blue
1/6. Is yellow

The probability of choosing a red marble is 1/2.

Given that, a bag with 6 marbles has 3 red marbles 1 yellow marble and 2 blue marbles.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Here, the total number of outcomes =6

The number of favorable outcomes =3

Probability of an event = 3/6

= 1/2

Therefore, the probability of choosing a red marble is 1/2.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ5

What is the median of this set of data?
1, 2,5,6,9.

Answers

Answer:

5

Step-by-step explanation:

it's the middle of the set of data

5 is the median as it is the middle number


Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help​

Answers

Answer:

B

Step-by-step explanation:

It's B because Alex wants to spend exactly $30, and since he has to pay $18 as a charge and $0.12 per mile, you would have to add those two together to get $30. Since you're spending money per mile and the charger, you have to add them.

1 B is the answer for sure

HELP ASAP (1O BRAILY/POINTS FOR ANSWER)

What is the value of x in the solution of the system?
x + y = 3
y = -6x + 3

Answers

Step-by-step explanation:

x + y = 3 ---------------- eqn 1

y = -6x + 3 ------------- eqn 2

Substitute y for -6x + 3 in equation 1

x + -6x + 3 = 3

x - 6x + 3 = 3

-5x + 3 = 3

Collect like terms

-5x = 3 - 3

-5x = 0

Divide both sides by -5

x = 0

Hope this helped!

Step-by-step explanation:

x + y = 3 ---------------- eqn 1

y = -6x + 3 ------------- eqn 2

Substitute y for -6x + 3 in equation 1

x + -6x + 3 = 3

x - 6x + 3 = 3

-5x + 3 = 3

Collect like terms

-5x = 3 - 3

-5x = 0

Divide both sides by -5

x = 0

Please help 8th grade math!

Answers

9/8 that’s what I got but you can reduce it

HELP ME PLZ
What is the slope of a parallel to the line that passes through (- 3, 1) and (3, 7)

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.

[tex]\frac{rise}{run}[/tex] = [tex]\frac{7-1}{3-(-3)}[/tex]

     = [tex]\frac{7-1}{3+3}[/tex]

     = [tex]\frac{6}{9}[/tex]

     = [tex]\frac{2}{3}[/tex]

Answer:

To calculate slope with any two given points the formula is y2 - y1 / x2 - x1. So to solve the problem just plug in the values: 7 - 1 / 3 - (-3),  6 / 6, the slope is 1

Is this a function???

Answers

Answer:

pfft no lol

Step-by-step explanation:

yeah no

have a good day!  :)

plz give me brainliest

Answer:

yes

Step-by-step explanation:

i think,because it goes past the center it all

HELPPPPP ME PLEASEEEE


the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3

Answers

Between 0 and 1 I think because you have to find common denominators
It would be B: between 1 and 2 because the answer to that is 1.8 (rounded) so it is more than one but less than 2.

Find the value of x in the diagram below. Classify

Answers

Answer:

x = 31.3

Step-by-step explanation:

100° and (3x + 6)° are vertical angles. Vertical angles are congruent.

To find the value of x, set both equal to each other.

3x + 6 = 100

3x = 100 - 6 (subtraction property of equality)

3x = 94

x = 94/3 (division property of equality)

x = 31.3 (nearest tenth)

PLZ HELP WILL GIVE BRAINLIEST

Answers

the answer is c

Step-by-step explanation:

it is because you have to times 3 and 4 and 3 and 9

Answer:

The answer is 27/ 12x - 9 = 28

Step-by-step explanation:

All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.

3 ( 4x - 9 ) = 28 = 12x - 27 = 28

Hope this helped.

♡(ŐωŐ人)

HELP PLSPLSPLS WHOEVER GETS RIGHT GETS BRANNIEST !!! PLS HELP FAST!!!!!!!!!!!

Answers

Answer:

Your answer is going to be 34/7.

Step-by-step explanation:

In order to solve this problem, you are going to have to work backward. In the first part, you are trying to see what subtracted with 59/7 after you find that you add 22/7 to it. then subtract 30/7 from the sum. This gives you your answer.

59/7-19/7

40/7+22/7

64/7-30/7

34/7

State whether a cumulative frequency, relative frequency, relative percent, cumulative relative frequency, or cumulative percent is most appropriate for describing the following situations. For cumulative distributions, indicate whether these should be summarized from the top down or from bottom up.
a. The frequency of business with at least 20 employees.
b. The frequency of college students with less than a 3.0 GPA.
c. The percentage of women completing 1, 2, 3, or 4 tasks simultaneously.
d. The proportion of pregnancies performed in public or private hospitals. e. The percentage of alcoholics with more than 2 years of substance abuse.

Answers

Step-by-step explanation:

a. The correct answer is 1) Cumulative frequency.

b. The correct answer is 2) Relative frequency.

c. The correct answer is 4) Cumulative relative frequency.

d. The correct answer is 3) Relative percent.

e. The correct answer is 5) Cumulative percent.

I need help with this

Answers

Answer:

c)

Step-by-step explanation:

C because y intercept is -5 and slope is 5/2

EX 1) Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax?​

Answers

Answer:

$42

Step-by-step explanation:

Given that,

Galore Super Store buys the latest video game at a wholesale price of $30.00.

The markup rate at Game's Galore Super Store is 40%.

We need to find the price from the store. It can be calculated as follows :

[tex]C=30+\dfrac{40}{100}\times 30\\\\=30+12\\\\=\$42[/tex]

Hence, we will pay $42.

Hello, attached is my problem. Please help!

Answers

Answer:

15

Step-by-step explanation:

Police stop a truck at a check post which claims to be carrying sacks of Humic Acid Sodium, a black, water-soluble fertilizer. When the truck is examined, it is found to have sacks of at least four different materials which the police label W, X, Y and Z. They suspect that apart from the fertilizer, the truck is carrying iron filings, gunpowder, and black powdered wood. They conduct some tests whose results are as follows:
The real question is to look at the table and find out which one is the gunpowder?

Answers

Answer:

Z fine black powder

how many milligrams (mg) are
in a levothyroxine 88mcg tablet?

Answers

Answer: 0.088 mg. Hope this helps!!

Please help fast, thanks.

Answers

Answer:

b

Step-by-step explanation:

d. she picked up at least 20, so it would be greater than or equal too.

Perimeter of 316 and 67 m

Answers

Answer:

383 m

Step-by-step explanation:

The perimeter of 316 and 67 is 766m. the area would be 21,172m.
Please mark brainliest if helpful!

Find the height of the pyramid.
Volume
392 cm3
14 cm
7 cm
The height is
centimeters.

Answers

Answer:

12 cm

Step-by-step explanation:

Base area

14 x 7 = 98 cm²

The volume of pyramid

392= 1/3 x height x base area

Height =12 cm

What is the value of x in x+y=-10 and x-y=2

Answers

Answer:

x = -4

Step-by-step explanation:

x+y = -10 -------- (1)

x-y = 2 ------- (2)

from (1)

x+y = -10

y = -10-x -------- (3)

substitute (3) into (2)

x-y = 2

x-(-10-x) = 2

x+10+x = 2

2x = 2-10

2x = -8

x = -8/2

x = -4

X+Y=-10
X=-Y-10
Answer= X= -Y-10


X-Y=2
Answer X=Y+2

Help ASAP!!!!!A side of the triangle below has been extended to form and exterior angle of 159 degrees.Find the value of s

Answers

Answer:

x=21

Step-by-step explanation:

45+x+the last angle=180

x+159=180

180-159=21

21+45= 66

180-66=114

so i think x would be 21 degrees but im not entirely sure do not quote me on this sorry

X= 21, so the person above me is correct

5.46 in fraction form HURRY

Answers

Answer:

Id assume its 5 23/50..correct me if I'm wrong its been quite some time since I've dealed with decimals to fractions.

Step-by-step explanation:

Answer:

f

Step-by-step explanation:

Do you want to know how to write the decimal number 5.46 as a fraction?

Here we will show you step-by-step how to convert 5.46 so you can write it as a fraction.

You can take any number, such as 5.46, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

5.46 / 1

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 5.46, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:

546 / 100

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 546 and 100 is 2. When we divide the numerator and denominator by 2, we get the following:

273 / 50

Therefore, 5.46 as a fractio

How many points will I get if I get 60 points every 5 mins and it goes on for 4 hours?

Answers

Answer:

well u multiply 60 and 12 which is 720 then multiply that by 4 that equals 2,880 more points

60/5=12 every minute you get 12 points so 4 hours=240mins which concludes that 240*12=2880 points

Hope this helps

Have a great day/night

if 7/12 is multiplied by a fraction less than 1 what would be the product

Answers

Answer:

Examples below

Step-by-step explanation:

We have the fraction

[tex]\frac{7}{12}[/tex]

It's required to multiply it by any fraction less than 1. Let's select the following fractions. All of them are less than 1 because the numerator is less than the denominator:

[tex]\frac{1}{7}[/tex]

[tex]\frac{4}{5}[/tex]

[tex]\frac{6}{35}[/tex]

The required products are:

[tex]\frac{7}{12}\cdot \frac{1}{7}=\frac{7}{7*12}=\frac{1}{12}[/tex]

[tex]\frac{7}{12}\cdot \frac{4}{5}=\frac{4*7}{12*5}=\frac{7}{15}[/tex]

[tex]\frac{7}{12}\cdot \frac{6}{35}=\frac{6*7}{12*35}=\frac{1}{10}[/tex]

••••••••••••••••••••••••••••••

Answers

Answer:

D. 7

Step-by-step explanation:

substitute -1 everywhere there is an x

5-2(-1)  multiply

5-(-2) add

7

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