Answer:
See Explanation
Step-by-step explanation:
(a) Proof: Product of two rational numbers
Using direct proofs.
Let the two rational numbers be A and B.
Such that:


The product:




Proved, because 1/3 is rational
(b) Proof: Quotient of a rational number and a non-zero rational number
Using direct proofs.
Let the two rational numbers be A and B.
Such that:


The quotient:

Express as product



Proved, because 3/4 is rational
(c) x + y is rational (missing from the question)
Using direct proofs.
Let x and y be
Such that:


The sum:

Take LCM


Proved, because 7/6 is rational
<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>
Answer:
21.25
Step-by-step explanation:
85/4 = 80/4+5/4 = 20 + 1 + 1/4 = 21 + 0.25 = 21.25
Working conditions in the United States in the early 1900’s can best be described as atrocious.
Answer:
Alejandra worked 8 hours and Qasim worked 5
Step-by-step explanation:
195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.