Q: A flagpole is 12 feet tall. It breaks, folding over in half, such that what was the tip of the flagpole is now dangling two feet above the ground. How far from the base, in feet, did the flagpole break?
A: 7
Step-by-step reasoning process: The break occurred (12 - 2) / 2 = 5 feet from the top. Then it was 12 - 5 = 7 feet from the base.

Q: Cadence has worked for her new company five months longer than she worked for her old company. If she worked at her old company for 3 years earning $5000 per month, and she's now earning 20% more in the new company, calculate the total amount of money she's earned in both companies in the period she's worked for them?
A: 426000
Step-by-step reasoning process: In her old company, if she worked for three years, the total number of months she was paid for is 3 years * 12, which is the number of months in a year = 36 months. If each month she was paid $5000, her total earnings in the old company were $5000 * 36 = $180000. In her new company, she is paid 20% more, which is 20 / 100 * $5000 = $1000 per month more than what she was paid at the old company. In total, she earns $5000 + $1000 = $6000 per month in her new company. Since she's worked five months more in the new company than the old company, she has worked for 36 + 5 = 41 months in the new company. The total amount she's earned in the new company is $6000 * 41 = $246000. The combined total for both companies is $246000 + $180000 = $426000.

Q: Lisa is looking to attempt a World Record. She has decided to try and match Joey Chestnut's record of eating 75 full hotdogs, buns included, in 10 minutes. Halfway through the time Lisa has eaten 20 hotdogs. How many hotdogs will she have to eat per minute to at least tie Joey Chestnut's record?
A: 11
Step-by-step reasoning process: Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75 - 20 = 55 hotdogs to tie Joey Chestnut. Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10 / 2 = 5 minutes left until the competition is over. If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55 / 5 = 11 hot dogs per minute to have a chance of tying for a win.

Q: Carl has a jar full of marbles. He takes out 12 marbles to play a game with, but he accidentally drops them and 1/2 the marbles get lost. So Carl takes out 10 more marbles. While he is playing his game his mother comes home with another bag of marbles for him, which has 25 marbles in it. If Carl can't find his lost marbles, then how many marbles is he going to put in the jar after he plays his game, from both his original marbles and the new ones?
A: 41
Step-by-step reasoning process: Carl starts with 12 marbles to play with but loses 1 / 2, 12 / 2 = 6 marbles Carl didn't lose. Carl takes out 10 more marbles, 6 + 10 = 16 marbles. Then Carl's mother brings him 25 new marbles to add to the 16 he has out of his jar, 25 + 16 = 41 marbles that Carl is going to put in his jar after he plays his marbles game.