A group of 33 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who
attended the game and solve the system to find the number of adults and the number of children
who were in the group.

Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure acb onto itself? a coordinate plane with figure acb with point a at 1, 1, c at 3, 4 and b at 5, 1 yes, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) yes, a″c″b′ is located at a″(1, 1), c″(3, 4), and b″(5, 1) no, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) no, a″c″b″ is located at a″(1, 1), c″(3, 4), and b″(5, 1)

Find the maximum value of p= 4x + 5y subject to the following constraints :

The given diagram shows the parts of a right triangle with an altitude to the hypotenuse. using the two given  measures, find the other four.