On the Lucky Five game show, Troy wins $5 if he answers one question correctly. Each time he answers another question correctly without making a mistake, the amount of money he wins is multiplied by 5. Troy answers 6 questions correctly without making a mistake. His winnings are represented by the expression 56. How much money does Troy win? Show your work.

Troy wins $15,625

Step-by-step explanation:

Because Troy gets each question correct, his money is multiplied by 5 for each question correct. So, for 6 questions, this would mean 5*5*5*5*5*5 or 5^6 which is 15625.

the thermometer is precise but not accurate

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.