Two trains depart the station traveling in different directions. Their paths are at a 90-degree angle from one another, as shown in the following illustration. train 1 train 2 Train 1 leaves the station traveling at 50 mph. Train 2 leaves the station one hour later traveling at 75 mph. Assuming that t represents the time that train 1 has been in route, which of the following inequalities can be used to calculate the values oft for which the distance between the trains is greater than or equal to 100 miles?

1foot = 12 inches; 1 yard = 3 feet

Twenty points. suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?