A spherical water tank with a radius of 21 ft is being filled at a rate of 150 ft3 per hour. How much time must elapse for the water tank to be completely filled? Use 3.14 for π . Calculate the time it will take to completely fill the tank by writing and solving a proportion using the constant rate of change.

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.