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DUDE ARE YOU SERIOUS 

78 Happy number?  

The difference of 135 and 57 is78.

If you don't understand anything feel free to ask!

I agree with geno

"Andy spins a fair spinner numbered 1 - 5 and rolls a fair dice. What is the probability of spinning a multiple of 4 and rolling a factor of 15?"

Prob spin multiple of 4:  p1 = 1/5  since there is only one possibility, namely 4 itself.

Prob roll a factor pf 15:  p2 = 1/2  since the factors are 1, 3 and 5, half of the numbers on the die.

These are independent events, so probability of both together: p = p1*p2 = (1/5)*(1/2) = 1/10

Question:  If  p  is a prime number, then  p⁶ - 1  is always divisible by:

    (a) 3*4*5

    (b) 4*5*6

    (c) 5*6*7

    (d) 7*8*9

    (e) 9*10*1

2 is a prime number, so:     p⁶ - 1  = 2⁶ - 1 = 64 - 1  =  63  =  9 x 7  or  3 x 3 x 7

which doesn't fit any of the options given.

"Find positive integers a, b, c such that a^3 + b^3 + c^3 = 2024."

a = 8, b = 8, c = 10

Why would you take the 3rd root of the r-value? And wouldn't that be ³√32 ? According to the solutions given, wouldn't it be 6, not 3?? 

And for the angle, I got -45 degrees, which equals -π/4, so if I divided that by 3, then I get -π/12.

Is that right? 

A_1/A_2 = 4.

The remainder is 2x - 1.

The perimeter of triangle ABC is 34.

AC:CE = 1:3.

Are you sure? Could you show some work?

Table + Cat – Turtle = 170 

Table + Turtle – Cat = 130 

Add them:    2 Table = 300  therefore Table = 150 

SEA = 513.

I actually have a bunch of books but don't really use them other than the ones I take.

Intro to Algebra is great, even though I got a 50 something on AMC10 LOL

Intro to Geometry could potentially be useful, and Intro to Count+Prob too.

Volume One might be useful but you could then go to AoPS site and see old tests, since they have great explanations.

Good luck on your next AMC!

Thanks Hugo, it was right! Mr.Ruiz is really good. Also, I am try to prepare for AMC 10, since I only got a 97.5 last time. Do you have any reccomendations of what books to buy, I was going to buy Volume 1 but idk if thats the best option. :D

Since you know the base angles equal 80, the top angle is 20, so the ABD triangle is isoceles and the top is 20+20 = 40,  bottom 70 each.

That means ABD is 70, ADC is 80, so 80-70 = 10?

Im kinda sure that's the answer.

If it's incorrect please let me know.

Oh I apologize.

It's nice that you are practicing for it.

I do recall this question from Intro to Geometry but I apologize for not realizing it could have been in alcumus. Give me a second.

OH you have Ruiz???

I had him for Counting and Probability!

hehe

Also I am currently self learning the intro to algebra as well :)

Alcumus my guy and I am not in Intro to geometry. I am only in intro to algebra B. I am just trying to prepare for AMC 10 so please dont bully me.Proof:

There are 3 feet in one yard. Thus we have 6*6 yards * 1/9 yard.

That's 36/9 = 4 cubic yards.

41*4 = 164 dollars.

If you don't understand anything feel free to ask!

Whoa whoa whoa. Hold up.

You need to fix your attitude.

Why aren't you smiling on a wonderful day like today, during a pandemic?

JK

I know this is from Intro to Geometry, and if you tell me what week and problem, I can give you a hint.