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

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]

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

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

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.

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

Answer:

15

Step-by-step explanation:

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

Answer:

c)

Step-by-step explanation:

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

Answer:

Z fine black powder

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

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:

b

Step-by-step explanation:

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)

Answer:

5

Step-by-step explanation:

it's the middle of the set of data

Answer:

383 m

Step-by-step explanation:

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.

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

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.

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.

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)

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

Answer:

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

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

Answer:

D. 7

Step-by-step explanation:

substitute -1 everywhere there is an x

5-2(-1)  multiply

5-(-2) add

7