Sam is using a microscope to look at the plant specimen. the microscope magnifies the specimen 4 × 10 squared times. if the specimen is 3 cm long , how long will the magnified specimen appear to be

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?

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?

Due to bad planning, two of the local schools have their annual plays on the same weekend. while 457 people attend one, and 372 attend the other, only 104 people were able to attend both. how many people went to at least one play?