Answer:
145
Step-by-step explanation:
six can go into eight once with a remainder of two, next you bring down the seven and you will get twenty seven, six can go into twenty seven four times six by four is 24,27 take away 24 is 3 then you bring down the one, six can go into 31 five times, six by five is 30, 31 take away 30 is one
Answer:
3. 4
4. is correct
5. is correct
Step-by-step explanation:
3 is incorrect, you have to start with division first
3. 6-6/3
6-(6/3)
6-2
4
the answer for question 3 is 4
question 5 and question 4 are correct
Answer:
(a) ¬(p→¬q)
(b) ¬p→q
(c) ¬((p→q)→¬(q→p))
Step-by-step explanation
taking into account the truth table for the conditional connective:
<u>p | q | p→q </u>
T | T | T
T | F | F
F | T | T
F | F | T
(a) and (b) can be seen from truth tables:
for (a) <u>p∧q</u>:
<u>p | q | ¬q | p→¬q | ¬(p→¬q) | p∧q</u>
T | T | F | F | T | T
T | F | T | T | F | F
F | T | F | T | F | F
F | F | T | T | F | F
As they have the same truth table, they are equivalent.
In a similar manner, for (b) p∨q:
<u>p | q | ¬p | ¬p→q | p∨q</u>
T | T | F | T | T
T | F | F | T | T
F | T | T | T | T
F | F | T | F | F
again, the truth tables are the same.
For (c)p↔q, we have to remember that p ↔ q can be written as (p→q)∧(q→p). By replacing p with (p→q) and q with (q→p) in the answer for part (a) we can change the ∧ connector to an equivalent using ¬ and →. Doing this we get ¬((p→q)→¬(q→p))
1) Sundaes - $2 ; Banana Splits - $3
3x + 2(x+8) = 156
3x + 2x + 16 = 156
5x = 156 - 16
5x = 140
x = 28 banana split ; x + 8 = 28 + 8 = 36 sundaes
2) Palanzio's = 6.80 + 0.90x ; Guido's = 7.30 + 0.65x
6.80 + 0.90x = 7.30 + 0.65x
0.90x - 0.65x = 7.30 - 6.80
0.25x = 0.50
x = 2 number of toppings.
6.80 + 0.90x = 7.30 + 0.65x
6.80 + 0.90(2) = 7.30 + 0.65(2)
6.80 + 1.80 = 7.30 + 1.30
8.60 = 8.60
3) 6x - y = 4 ; y = 4x + 2
6x - (4x+2) = 4
6x - 4x - 2 = 4
2x = 4 + 2
2x = 6
x = 6/2
x = 3
y = 4x + 2
y = 4(3) + 2
y = 12 + 2
y = 14
6x - y = 4
6(3) - 14 = 4
18 - 14 = 4
4 = 4
Answer:
divide 5/9 from 10/21 first then divide it again by 6/7
Step-by-step explanation:
