A European business has offered to donate to the Salvation Army, but they are requiring a detailed report on expenditures. Chase and his brother are tasked with converting distances measured in miles to kilometers. To estimate the number of kilometers, Chase takes the number of miles, doubles it and then subtracts 20% of the result. Alex, Chase’s brother, first divides the number of miles by 5 and then multiplies the result by 8. a. Write an algebraic expression for each method.

b. Use your answer to part (a) to decide if the two methods give the same answer. Justify your answer using words, numbers, expressions, and/or diagrams.

Apositive number a or the same number a increased by 50% and then decreased by 50% of the result?

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?

What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83