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SpyIntel [72]
3 years ago
14

DIG DEEPER At a restaurant, when a customer buys 4 pretzels, the fifth pretzel is free. Soft pretzels cost $3.90 each. You order

12
soft pretzels. What is your mean cost per pretzel?
The mean cost is $
per pretzel.
Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0
3.25$ per pretzel. Buying 12 pretzels gets you two free pretzels which is 7.80$ worth of pretzels. 3.90x12= $46.80
46.80-7.80= $39.00
39/12= 3.25 per pretzel
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The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
Elan Coil [88]

I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

∨ = OR

∧ = AND

~ = NOT

↔ = IFF (meaning "if and only if")

→ = IMP (short for "implies")

and for logical equivalence I'll use a regular equal sign.

Then

p XOR q = (p OR q) AND NOT (p AND q)

(a) By definition of XOR, we have

p XOR p = (p OR p) AND NOT (p AND p)

= p AND NOT p

and this is tautologically FALSE.

(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:

NOT (p AND q) = NOT p OR NOT q

Then we can interchange the AND and ORs using their respective distributive properties. That is,

p XOR q = (p OR q) AND (NOT p OR NOT q)

= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))

= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))

Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have

p XOR q = (p AND NOT q) OR (q AND NOT p)

Recall the definition of IFF:

p IFF q = (p IMP q) AND (q IMP p)

Also recall that IMP is logically equivalent to

p IMP q = p OR NOT q

Then we have

p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))

= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

3 0
3 years ago
A scale drawing of Joshua's living room is shown below: width 4 length 6 If each 2 cm on the scale drawing equals 4 feet, what a
krok68 [10]
8ft by 12ft

the real question is why they randomly switched from metric to standard system. :P
3 0
3 years ago
Can 6 fit into 36 and if so how many times
ratelena [41]
Yes.
This is the same thing as:
\frac{36}{6} =6

How many times can 6 go into 36?
6 times
Try:
6*6=36

So true.

Hope this helps! :D 
6 0
3 years ago
Read 2 more answers
How to change from expo to radical form
Natalka [10]

Answer:

See below.

Step-by-step explanation:

If the exponent is a/b  then a is the power and b is the value of the radical.

Example:   x^2/3  =   ∛x².    2 is the power and 3 is the radical.

Answers:

1)  7^2/3 =  ∛7²

5)  √3 = 3^1/2

9)  (∛27)⁴ = 27^4/3 =  3^4 = 81.

5 0
3 years ago
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8x55= hmmm what is this summ
Evgen [1.6K]

Answer:

440

Step-by-step explanation:

55x8. 8x5=40 carry the 4. 8x5=40+4=44 so it is 440

5 0
3 years ago
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