Afamily is throwing a 60th birthday party for their mom. they need a venue to have the party. the recreation center charges $120 to reserve the room and $75 per hour. a local restaurant charges $275 to reserve the room and $50 per hour. after how many hours will the two venues have the same cost? what is the cost?

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)

Determine which postulate or theorem can be used to prove that lmn =nmo

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.