Jetpunk Survivor #6 - THIRD CHALLENGE

Last time, the Kasayahan Tribe lost and was put up for elimination. Let's see the votes.

I think it's pretty obvious, so I'll make this quick.

First vote, McKenzieFam.

Jetpunker 180.

MindWax.

McKenzieFam.

McKenzieFam.

McKenzieFam.

McKenzieFam. That's five, which means you're eliminated.

14th: thegoatisgoaty

13th: McKenzieFam

I know that there was some controversy surrounding MKF's elimination. I will try my best to remain consistent in posting these every Saturday/Sunday from now on. MKF will also get to choose the FOURTH contest as consolation for an unfair elimination. Right now, let's work on the third challenge.

Here are the weekly posting times per each time zone:

Western US/British Columbia: Saturday afternoon

Eastern US/Quebec: Saturday evening

Europe: Saturday night, possibly past midnight

Australia/ NZ/ Philippines: Sunday morning

This challenge will feature various math challenges where your team can earn points! The team with the most points wins! All answers are due by Tuesday, November 14 at 9:00 PST (your comments must say "November 14, 2023" or earlier for it to count)

Challenge #1: Four Nines

Using four 9's, make every number from 1-100. You can use addition, subtraction, multiplication, division, factorials, exponents, parentheses, square roots, and even repeating decimals! You cannot use any other digits other than nine.

Example: 9 x 9 / 9 - 9 = 0.

Points: One point per solution, 100 points maximum, one solution from 1-100. The TWIST: no one can submit more than 25 solutions. This is to encourage teamwork. If one or even two of your members are inactive, you can still earn a full 100 points. You cannot submit more than one solution for a number.

Challenge #2: The 89 Challenge

Using the digits 0, 1, 2, 3, 4, 5, 6, and 7, make the number 89. Once again, you can use addition, subtraction, multiplication, division, factorials, exponents, parentheses, square roots, and even repeating decimals! You do not have to use the digits in order, but if you do, you get more points!

Points:

1 point: Numbers are used out of order

3 points: Numbers are used in order (0,1,2,3,4,5,6,7)

5 points: Numbers are used in REVERSE order (7,6,5,4,3,2,1,0)

Twist: No one can submit more than 30 points worth of solutions.

Maximum points possible: 180 points

Challenge #3: Pattern-Finding'

Find the solution or the next number in the pattern for each set below:

A: 1 + 1/4 + 1/16 + 1/64 + 1/256, etc... = ?

B: 11, 11, 12, 13, 15, 18, 23, __

C: 1, 2, 5, 14, 41, 122, __

D: 3, 1, 4, 1, 5, 9, 2, __

E: 1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6, etc... = ?

F: 2, 3, 5, 7, 11, 13, 17, __

G: 31, 28, 31, 30, 31, 30, 31, ___

H: 2, 7, 1, 8, 2, 8, 1, 8, 2, 8, ___

I:  3, 4, 6, 10, 18, ___

J: 1, 11, 1, 3, 1, 2, 31, 2, __

Points: 10 points per correct answer.

Maximum points possible: 100

Challenge #4: Decoding Messages

This challenge requires some real collaboration. For each set of letters, figure out what the message is saying. Hint: This is Math Mania, so this involves math.

Message #1:

__ __ __ __ __      __ __ __ __ __ __    __ __ __    __ __ __ __ __!

N   Q   N  B   G       X   W Q   V  B   A       I    Z    M     G  W  C  Z   A

Message #2:

__ __ __      __ __ __ __ __ __      __ __ __ __     __ __     __ __ __ __ __ __ __ __.

B   J   T        T    J   J   L   J    X        X   D  L    N       N  D       Z   R   L   L   D   P  J   R

Points: 30 points per message.

Maximum points possible: 60 points

Challenge #5: Algebra Problems

Solve each equation for x.

a. -8(6x + 3) = 192

b. (3x + 2) (5x - 3) = 208

c. 2(3x - 2) + 9 = -5x

d. 3 + x = 2 (2x - 1)

Points: 10 points per problem

Maximum points: 40 points

Challenge #6: Ten-Digit Number Problem

I am thinking of a ten-digit number. This number contains the digits 0-9 exactly once. The first n digits of the number are divisible by n. (For instance, the first four digits  in the number are divisible by four)

What is my number?

Points: 6 points for each digit placed in the correct spot.

Maximum points: 60 points

Challenge #1 :   /100pts

Challenge #2:    /180pts

Challenge #3:    /100pts

Challenge #4:    /60pts

Challenge #5:    /100pts

Challenge #6:    /60pts

Total:                   /600pts

- Do all work in the group chats.

- Split the work among yourselves. For Challenges 1 and 2, there is a limit as to how much one person can do.

- All solutions must be in by Tuesday, November 14 at 9:00 PM PST. Your comments on the solutions must say "November 14, 2023" or earlier in order to count.