Tim owns a clothing store where he designs pairs of shorts, S, and T-shirts, t. He sells the shorts for 12 and the t-shirts for 8 each. Tim can work 18 hours a day, at most. It takes him 30 minutes to design a t-shirt and 45 minutes to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 30 items in one day. Which set of inequalities below represents this scenario?

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?

Write the equation in logarithmic form m^x=n

The measure of angle 0 is 600 degrees