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horsena [70]
2 years ago
11

Jane needs to memorize words on a vocabulary list for German class. She has memorized 8 of the words, which is one-fourth of the

list. How many words
are on the list?
Mathematics
1 answer:
Anna35 [415]2 years ago
7 0

Answer:

x = 32 words

Step-by-step explanation:

Okay...let's get solving! :D Firstly, we

let the word list be x and convert the long paragraph into an equation that we can use.

one-fourth = 1/4

Memroized = 8 words

x * \frac{1}{4} = 8

Thus, we solve the equation.

x = 32 words

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Gnoma [55]

Step-by-step explanation:

-x/3 < -4

-x < -12

x > 12

5x +11 ≤ -4

5x ≤ -4-11

5x ≤ -15

x ≤ -3

therefore, the solution is

x ≤ -3 or x > 12

8 0
2 years ago
On a number line 7.29 and -7.29 are the same point. true or false
zlopas [31]
Answer should be False
8 0
3 years ago
5x - 8y = 20<br> what are x and y? :)
Alex_Xolod [135]

Answer:

x could be 10

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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
Calculate the perimeter of a rectangle which is eleven metres long and four metres wide.​
Leviafan [203]

Step-by-step explanation:

the formulae to find the perimeter of a rectangle is p = 2(l+w)

<em>where</em>

p= perimeter

L = length

W = width

just add the length and width {given in the question} , and multiply them by 2

answer: = 2(11+4)

= 2 × 15

= 30 m

6 0
3 years ago
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