Carlotta handpaints T-shirts and sells them to her friends. She uses the equations below to determine her costs to produce shirts and the amount of money earned when she sells the shirts. Production Cost: c = 28 + 3 s, where c is the total cost and s is the number of shirts
Money Earned: m = 10 s, where m is the amount of money earned from sales and s is the number of shirts

How many shirts must Carlotta sell to make a profit?
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Mozart lenses inc. recently introduced seelites, a thinner lens for eyelasses. of a sample of 800 eyeglass wearers, 246 said they would purchases their next pair of eyeglasses with the new lenses. lenses inc. estimates that the number of people who purchase eyeglasses in a year is 1,700,000. most eyeglasses wearer buy one new pair of eyeglasses a year. what is the annual sales potential for the new lenses.

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?

Find the magnitude, correct to two decimal places, made by each of the following with positive direction of the x axis a) y= x the answer is 45° but i don’t know how