Suppose that r varies directly with s and inversely with t, and r=2 when s=3 and t=12. what is the value of r when s=5 and t=4?

i already know the answer but i'd like to know how to find it.

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.

If f(x)= sqrt4x+9+2, which inequality can be used to find the domain of f(x)?

Type the correct answer in each box. spell all words correctly. a sequence of transformations maps ∆abc onto ∆a″b″c″. the type of transformation that maps ∆abc onto ∆a′b′c′ is a . when ∆a′b′c′ is reflected across the line x = -2 to form ∆a″b″c″, vertex of ∆a″b″c″ will have the same coordinates as b′.