Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
False because you dont have the full amount of income you need
Answer:
5 boys
Step-by-step explanation:
boys to girls in math class = 3/12
3/12 can be reduced to 1/4
In the science class, the ratio is the same but there is a total of 20 girls.
Multiply the fraction 1/4 by 2/2, 3/3, 4/4, 5/5, etc. until you get x/20. Then you have 20 girls. x is the number of boys.
1/4 = 2/8 = 3/12 = 4/16 = 5/20
In science the ratio of 1/4 is the same as 5/20, so there are 5 boys.
Answer: 5 boys
<span>log_9 x + log_9 (x + 12) = log_9 64?
answer is x=4</span>
