So, I have this maths homework, and I get most of it but I'm totally stuck on a few. If anyone could give me a few hints I would be very grateful.
You have 11 large boxes, each of which is either empty or contains 8 small boxes. Likewise each of these small boxes is either empty or contains 8 even smaller empty boxes. If there are 102 empty boxes in all, how many boxes do you have altogether?
Yeah, I'm completely befuzzled on this one.
In a 2-lap race I complete the first lap at a speed of 10m/s and the second lap at a speed of 20 m/s. What's my average speed for the whole race?
This is probably one of those questions which if totally obvious if you just know the trick, but... I can't figure out the trick.
Edit: I figured this one out by trying different distances. It was indeed extremely obvious.
Show that the product of 3 consecutive numbers is a multiple of six.
I thought for this one you did n + (n+1) + (n+2) = 3n+3 which has to be a multiple of six, but then I realised that that was adding instead of multiplying, and if I try to do it with algebra when multiplying I get n(n+1)(n+2) which gave me n(cubed) + 3n(squared) +3n, which is obviously a multiple of 3, but not always of 6. So, I'm quite confused.
Five football players are preparing for a penalty shoot-out. If the probability of each one scoring is 0.6 what is the probability that three out of the five players score?
I tried to do a tree diagram for this one but it got really squished up and impossible to read, and I can't figure out any other way to do it..
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