a community hall is in a shape of a cuboid. the hall is 40 m long 15 m wide and 3 m high. the community halls needs re-decorating with new paints for the wall and ceiling and new tiles on the floor. a 10litre tin of paint covers 25 m^2 and cost £10. 1m^2 floor tiles cost £3 each.

Astore has clearance items that have been marked down by 60%. they are having a sale, advertising an additional 55% off clearance items. what percent of the original price do you end up paying?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0