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:
Step-by-step explanation:
You need to know the formula for the area of a circle , do you?
it's pi*
plug in 1/2 of the diameter , they tell us it's 48 + 6 = 54
54/2 = 27
so
pi*
=2290.2 sq inches
Hi,
1) D
Working :
If the bell rings for 2 weeks straight that means it rings for 14 days.
The bell rings 48 times a day (2 * 24).
The answer is then: 48*14 = 672
2) C
Working:
144 cookies * 8 batches = 864 cookies
864 divided into boxes of 8 = 864 / 8 = 108
Answer:7
Step-by-step explanation:
all you have to do is subtract 20-13
The main piece of computer software on which every other piece of software relies is referred to as the "operating system". It is responsible for all the major channels of communication between the software and the hardware.