tuffla2022

I got this in GeoGebra

How many teams in total?

Thanks for that on. I'm obviously out of shape when it comes to geometry. Should have seen that \(\Delta ABE \cong \Delta ADF\). That is what solves this. Very good explanation of this.

24 - (8:30 - 3:15) = 24- 5:15 =18:45 =\(18\; \frac{3}{4} \; hours\)

D is correct.

Well, seems like we agree on the answer, but I haven't seen Your cool technique before. You learn something new every day.

a) 3m + 3x3m = 3m + 9m = 12m

You can find my tinker-project here:

Hm. Tried this one. by tinkering in GeoGebra. Not too easy. Maybe I'm getting a bit tired... By tinkering I found that AB is between 16.6, and that gives an area around 332, if all conditions are met. I am too tired right now to think out a way to calculate this.

Sorry, didn't notice that there had to be 3 digits. I stand corrected by Guest below. Code has been updated.

Exercise 1:
There are 30 integers in that group, they are:
105, 135, 165, 195, 225, 255, 285, 315, 345, 375, 405, 435,
465, 495, 525, 555, 585, 615, 645, 675, 705, 735, 765,
795, 825, 855, 885, 915, 945, 975

\(\frac{r-3}{\sqrt{r}} = -2\times\sqrt{r}\\ r-3 = -2\times \sqrt{r} \times \sqrt{r} = -2 \times r\\ r-3 = -2 \times r\\ 3 \times r = 3\\ r = 1\)

On ex. 1 python says:

There are 33 integers in that group, they are:
15, 45, 75, 105, 135, 165, 195, 225, 255, 285, 315, 345,
375, 405, 435, 465, 495, 525, 555, 585, 615, 645, 675,
705, 735, 765, 795, 825, 855, 885, 915, 945, 975

Maybe I misunderstood. Is this an ongoing thing? Ie: I post one operation, the next posts the next one and so on?

Okay, I'll go with: 1 + 5 = 6

Linda: L, Miah: M, Noah: N

L+M = 11. L+N = 19, M+N = 22 or whatever order You place them in.

L = 11 - M, 11 - M + N = 19, so M = N - 8, and so N - 8 + N = 22, or 2N = 30, so N = 15

Going back, we find that M = 15- 10 = 5, and L = 11 - 5 = 6. So the largest number is 15.

As before, use the onilne calculator, here is the answer:

You can use an online calculator for that, the solution, and the calculator can be found at:

Here is my doodle

It seems like swapping the even numbers around with eachother would do the trick. In this series there are 4 even numbers, they can be rearranged in 4! ways or 4x3x2x1 = 24.

My go at this one: