Solve the following system of equations and round your final answers to the nearest millionth. You can validate your intermediate coefficients (rounding to the 9th significant figure) to check your work along the way.
1. Let O be the answer to problem 15. Buzz Lightyear travels at the speed of light, and he uses up an oxygen tank every 1,435 gigameters. How many tanks does he use up in O hours?
2. Let A be the answer to problem 1. Kobe Bryant makes 3 passes each NBA quarter, with each pass spanning 62.7 inches on average. How many NBA basketball court lengths does the ball travel from Kobe’s passes in A games?
3. Let B be the answer to problem 2. A new event in Harry Potter: Wizards Unite comes with a few boosts - using Master Notes on healing potions reduces their brew time by 42% and each fortress battle has a guaranteed Dark Arts reward (worth 10 Family XP). Merlin walks to a nearby fortress and starts to brew some healing potions. He can complete 243 fortress battles for every 25 healing potions brewed with Master Notes. If Merlin only uses Dark Arts runestones and it takes 100 Family XP to rank up, how many Dark Arts rank progress bars can he fill in B minutes?
4. Let C be the answer to problem 3. Julz goes to a rave, where the DJ is playing dance songs with a tempo of 106 beats per minute. Each dance consists of 1,314 beats, and Julz takes 5 shots every 2 dances. If a bottle contains 16 shots, how many bottles does Julz go through in C days?
5. Let D be the answer to problem 4. Snoo is learning to surf. They bring a surfboard to the beach, where there is one wave every 13 seconds. Snoo swims 21 strokes per wave, and swallows 3 sips of water with each stroke. If 59 Snoo-sized sips are in a cup and Snoo spends D hours on the water, how many US fluid barrels of seawater do they intake?
6. Let E be the answer to problem 5. A new contestant Jen Kennings arrives onto the Jeopardy! scene. She maintains a streak of winning E Final Jeopardy! rounds before losing in her next appearance. If each Final Jeopardy! question clues a two-word phrase and the average Dr. Seuss book contains 1,270 words, this is the number of Dr. Seuss books equivalent to the number of words she wrote during all Final Jeopardy! rounds.
7. Let F be the answer to problem 6. In the city of Las Vegas, American Ninja Warrior allows residents to try competing on their Finals course after the competition is complete. Everyone runs the course back-to-back, but unfortunately, they are not very fast and all time out on Stage 1. Each person expends 16 calories during their effort, and the organizers supply some pizza for post-course refreshment. If a slice of pizza provides 219 calories and each pizza has 8 slices, how many pizzas worth of calories are expended if (F*100)% of the city population of 600,000 attempt the course?
8. Let G be the answer to problem 7. Bruce Wayne is at Six Flags Magic Mountain. Bruce decides to go on the Superman ride, where he is the only rider. He is wearing his Fitbit, which counts 100 steps per ride. However, the Joker shows up and tinkers with the ride, causing it to malfunction and loop on its tracks continuously. Bruce decides to take advantage of the steps and make progress on some Fitbit Adventures, which each take 38,000 steps. How many Fitbit Adventures does Bruce go through in G runs of the Superman ride?
9. Let H be the answer to problem 8. The Budveirus is a highly threatening new computer malware plaguing the world. Once it infects a host, it begins gradually corrupting data on any audio files, destroying 400 MB per day. If every audio file stores 2 channels with 3 MB of data in each and there are 11 audio files per album, how many albums are corrupted on one computer after H days?
10. Let I be the answer to problem 9. Lilo is knitting scarves for her next convention. Each scarf takes 10 hours to knit, and has 138 rows of 18 stitches wide. She needs 1 skein of yarn to knit 282 stitches. If Lilo knits scarves for I hours straight, how many skeins of yarns does she go through?
11. Let J be the answer to problem 10. Lancelot is playing the latest Fortnite game called Fortnite: Fortnight Fort Knights, where players will build forts in matches that last for one fortnight at a time. There are 24 levels per match (numbered 1-24), and each level requires building as many forts as the level number. Each fort requires 256 trees to be structurally sound, and players may harvest forests of 684 trees in size. How many forests does Lancelot need to harvest to complete matches in a J-week season?
12. Let K be the answer to problem 11. Alice and Bob are sitting at a table, continuously playing games. For every 46 Boggle games that Bob completes, Alice can finish 10 Sudoku puzzles, each with 58 empty squares to fill. Alice can write 400 numbers with a single piece of mechanical pencil lead. If Bob plays K games of Boggle, how many pieces of pencil lead does Alice use?
13. Let L be the answer to problem 12. Six pairs of athletes are leapfrogging around a lake that has a circumference of 162 leaps to complete as many laps as possible. In order to stay hydrated, each athlete is supplied with a water bladder and drinks at a rate of 1 cup of water across 896 individual leaps. The spectators gather at a large tree that acts as the lap marker. Each time a kermit elapses, all six pairs complete a lap and the spectators do the wave! If the spectators do L waves, how many combined cups of water did all athletes drink?
14. Let M be the answer to problem 13. Chuckie is a world champion at pinball and keeps a ball in play for one hour. He scores 23,000 points with each ball, eyeing the large teddy bears that are 1,530 tickets each. He sees that he gets 9 tickets for every 170 points scored. How many teddy bears’ worth of tickets does he win in M hours of playing pinball?
15. Let N be the answer to problem 14. Elsa is on a Netflix binge. Each episode is 30 minutes long and she eats 83 spoonfuls of ice cream per episode, adding 5 sprinkles per spoon. If one container contains 3,960 sprinkles and Elsa binges for N weeks, how many containers of sprinkles does she consume?
Use your answers from Part 1 to solve the following expressions. You may find it helpful to refer back to Chemistry 118 fundamentals.
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