Answer:
Teacher is 27 years old
Step-by-step explanation:
(1/2)(t - 3) = (1/3)(t + 9)
multiply by 6 to clear the fraction
3(t - 3) = 2(t + 9)
Distribute
3t - 9 = 2t + 18
Subtract 2t from both sides
t - 9 = 18
Add 9 to both sides
t = 27
Teacher is 27 years old
6 √5
7 π
Both continue on forever and will never have an exact answer - therefore, they're irrational.
Answer:
a= 68% times 250, there are 170 students not in Advanced
Step-by-step explanation:
If 32% are in Adv math, 68% aren't, to solve a percentage, I did
.68 times 250
Answer:
i can only do 2 and 3 sorry
2. a
3.d
Step-by-step explanation:
Answer:
The conclusion "T" logically follows from the premises given and the argument is valid
Step-by-step explanation:
Let us use notations to represent the steps
P: I take a bus
Q: I take the subway
R: I will be late for my appointment
S: I take a taxi
T: I will be broke
The given statement in symbolic form can be written as,
(P V Q) → R
S → (¬R ∧ T)
(¬Q ∧ ¬P) → S
¬R
___________________
∴ T
PROOF:
1. (¬Q ∧ ¬P) → S Premise
2. S → (¬R ∧ T) Premise
3. (¬Q ∧ ¬P) → (¬R ∧ T) (1), (2), Chain Rule
4. ¬(P ∨ Q) → (¬R ∧ T) (3), DeMorgan's law
5. (P ∨ Q) → R Premise
6. ¬R Premise
7. ¬(P ∨ Q) (5), (6), Modus Tollen's rule
8. ¬R ∧ T (4), (7), Modus Ponen's rule
9. T (8), Rule of Conjunction
Therefore the conclusion "T" logically follows from the given premises and the argument is valid.
