Students must purchase a ticket to attend the show. The committee wants to have $450 remaining from ticket sales, after paying for equipment, lighting, and costumes. Each ticket will cost $4.85, and the committee expects to sell as many tickets as there are seats available. What is the greatest amount of money, in dollars, the committee can spend on equipment and costumes?​

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

How many different three-digit numbers can be formed using the digits 1 comma 2 comma 9 comma 6 comma 4 comma 3 comma and 8 without repetition? for example, 664 is not allowed.