if 2r=5s and 5s=6t what does r equal in terms of t?

from your first equation

5s = 2r
from the second equation
5s = 5t

so 2r = 6t
r = 3t

To find the value of r in terms of t, we need to substitute the given equations and solve for r.

Given:
2r = 5s (Equation 1)
5s = 6t (Equation 2)

We can start by substituting Equation 2 into Equation 1:

2r = 5s
2r = 5(6t)
2r = 30t

Now, to solve for r, divide both sides of the equation by 2:

r = (30t) / 2
r = 15t

Therefore, r equals 15t in terms of t.