Everyday maths - 400*5+12*2

Lounge
1

Cod attempted to learn every day, but failed.
This year, Cod is back again, perhaps not struggling with laziness and procrastination.
If you see me missing for 48 hours, you can post any question to frighten me for the day so the study do not stop.

I shall try to post one question every day in the following 52*7 days, without any solution. Of course, besides question for the day, everyone is welcomed to post. (But this is not a homework thread -.-)

No specific topics or difficulty are set for the questions, but try to add interesting questions or solutions to here.

Solution should only be posted after 12 hours so we can leave time for the others to solve.

2

Questions for Day 1 and 2 of the year:

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image1159×215 7.28 KB

3

I think a is 4 and b could be 12 or something, idk

4

err sadly nope

6

IMG_20240103_191833
IMG_20240103_1918331920×2560 263 KB

7

IMG_20240103_191854
IMG_20240103_1918541920×2560 234 KB

8

hmm something went wrong (from 3rd to the 4th)
well you got it correct because it becomes 1 later…

and for the second picture your L.H.S. equations look missing the square, but nice try

9

The coordinates of the midpoint: the mean of the coordinates of both endpoints
so:
(b+1)/2 = -1
b = -3

(-4+4)/2 = a
a = 0

Here is the graph

image
image746×745 6.55 KB

10

Question for Day 3:
For 3 persons A, B and C, it takes 10 days, 15 days and 20 days respectively for them to finish a project alone. If they work on the project together, and when working on the project, A rest for 1 day, B rest for 3 days, C do not take a rest, how many days are required for the project to be finished?

11

Answer: 6 days

12

Happy π day
Day 74 of the year:
image

13

Answer is π

14

I should have been able to just guess that

15

xD

16

and well I should have posted this question yesterday but I forgot to after posting the answer
so it’s for today now
shhh not laziness

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yes find x

18

image

19

Follow the method abbccabbcc provided, the answer is correct

20

Question on 15th March that I posted somewhere else:
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Check your answer here: x = 2

21

Question for today (23rd October 2024):
Given that N is the smallest integer such that the last four digits of the product of N and 207 is 2013, that is, 207N = **2013, what is the first 2 digits of N ?

22

The answer is 14. (1459 is the smallest possible N)