Adriana pick up some berries in her garden. First, she gave a half of her berries to her sister Jane, then she gave a third part of the berries she had left to her friend Alex. Finally, she gave a fourth part of the remaining berries to her mom. How many berries did Adriana pick up, if after giving berries to her sister, friend and mom she still had 10 berries left.

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?

Let event a = you roll an even number on the first cube.let event b = you roll a 6 on the second cube.are the events independent or dependent? why?

Find the percent error of the measurement 4 cm