Answer:
First, a rational number is defined as the quotient between two integer numbers, such that:
N = a/b
where a and b are integers.
Now, the axiom that we need to use is:
"The integers are closed under the multiplication".
this says that if we have two integers, x and y, their product is also an integer:
if x, y ∈ Z ⇒ x*y ∈ Z
So, if now we have two rational numbers:
a/b and c/d
where a, b, c, and d ∈ Z
then the product of those two can be written as:
(a/b)*(c/d) = (a*c)/(b*d)
And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:
(a*c)/(b*d)
is the quotient between two integers, then this is a rational number.
elimanation variations matrix
Answer:
20 tickets
Step-by-step explanation:
tickets/total tickets * 100% = 10% chance to win the raffle
x/200*100=10
solve for x
x/200 = 10/100
x = 200(0.1)
x = 20
Answer:
5L/2 < 100
Step-by-step explanation:
Let's get started!
Let :
⇒ Length = L
⇒ Width = L/4
It mentions the perimeter must be less than 100 inches.
Perimeter Formula :
<u><em>Perimeter (Rectangle) = 2(Length + Width)</em></u>
Then, the inequality formed will be :
⇒ 2 (L + L/4) < 100
⇒ 2 (5L/4) < 100
⇒ 10L/4 < 100
⇒ 5L/2 < 100
