Please solve and show work! Thanks!

Rate problem:
A hot - water faucet can fill a bathtub in 20 minutes; and the cold-water faucet can fill it in 10 minutes. How long will it take to fill the same bathtub with both faucets running?

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6⅔ minutes

Or, 6 minutes 40 seconds

Step-by-step explanation:

X/10 + X/20 = X/T

(2X+X)/20 = X/T

3X/20 = X/T

3/20 = 1/T

T = 20/3

T = 6⅔ mins

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.