A group went together to the clayton art and wine festable. they bought 15 tickets. child tickets were $1.75 each and adult tickets were $3.25 each. the group spent $39.75 total in tickets, how many of each type of ticket did they buy? please name your variables, x and y

please write both equations

solve the system, and list the solutions

thank you​

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters

Extremely mega ultra important question! plss answer as fast as you can you will get 84 points! the area of this right triangle is half the area of which of these rectangles?

Aresearcher believes increased perceived control influence the well-being of residents at a nursing home. to test this , she allowed one group of residents to have control over their daily lies, (where to eat etc) . the other group of 5 residents had these deceisions made by staff. the resident's feelings of well-being were measured on a 10 point scale at the end of a one month trial period. is there a difference on well-being?