Katie has 8 black marbles, 12 clear marbles, and 10 blue marbles in a bag. if she picks one at random, what is the probability that she will pick a black marble? (enter your answer as a fraction in its reduced form.)

What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.