Answer:
The answer is just <6
Step-by-step explanation:
For this case, the first thing we must do is define variables.
We have then:
f: number of points that fabio scored.
c: number of points that Carlos scored.
We now write the equation that models the problem:

Then, for f = 31 we have:

From here, we clear the number of points:




Answer:
The equation to find the number of carlos points is:

Then, Carlos scored:

Answer:
The conditional statement "∀x, If x is an insect, then x has six legs" is derived from the statement "All insects have six legs" using "a. existential" generalization
Step-by-step explanation:
In predicate logic, existential generalization is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition. In first-order logic, it is often used as a rule for the existential quantifier in formal proofs.
The number of pages in the book is 180
<u>Explanation:</u>
The first thing we should do is to convert these fractions to percentage

3/4 of the remainder on thursday:
Thursday: (100 - (13.33 + 33.33 + 22.22) * (3/4) = 23.33%
he still has 14 pages left to read on friday
Friday: [100 - (13.33 + 33.33 + 22.22) ] - 23.33 = 7.77%
Which means that 14 pages represent 7.77% of the book.
Therefore the number of pages of the book is given by:

Therefore, number of pages in the book is 180