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Katyanochek1 [597]
3 years ago
9

The price of a holiday was decreased by 12% to £600. What was the price before the decrease? Give your answer to the nearest pen

ny
Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer: £5000

Step-by-step explanation:

If 12% decrease = £600

Then (100- 12)% = x

100% = x

0.12x = 600 x 0.88

0.12x = 528

Divide both sides by 0.12

£4400

Therefore, original price before 12% decrease was £5000

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Given that A and B are true and X and Y are false, determine the truth value of the following proposition: ~[(A ⊃ Y) v ~(X ⊃ B)]
Anni [7]

Answer:

The value of the proposition is FALSE

Step-by-step explanation:

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ ~X) v (B ⊃ X)]

Let's start with the smallest part: ~X. The symbol ~ is negation when X is true with the negation is false and vice-versa. In this case, ~X is true (T)

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ T) v (B ⊃ X)]

Now the parts inside parenthesis:  (A ⊃ Y),(X ⊃ B),(A ≡ T) and (B ⊃ X). The symbol ⊃ is the conditional and A ⊃ Y is false when Y is false and A is true, in any other case is true. The symbol ≡ is the biconditional and A ≡ Y is true when both A and Y are true or when both are false.

(A ⊃ Y) is False (F)

(X ⊃ B) is True (T)

(A ≡ T) is True (T)

(B ⊃ X) is False (F)

~[(F) v ~(T)] ⋅ [~(T) v (F)]

The two negations inside the brackets must be taken into account:

~[(F) v F] ⋅ [F v (F)]

The symbol left inside the brackets v is the disjunction, and A v Y is false only  with both are false. F v (F) is False.

~[F] ⋅ [F]

Again considerating the negation:

T⋅ [F]

Finally, the symbol ⋅ is the conjunction, and A v Y is true only with both are true.

T⋅ [F] is False.

5 0
3 years ago
You're ordering a sandwich at the local deli, below is a tree diagram of the possible orders. What is the probability that your
dusya [7]

Answer:

Step-by-step explanation:

1. So there is two bread options but let's ignore that due every option being the same for both bread options.

2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.

3. So with a one in three chance logical meat option and a one two chance cheese option and.

4. Now knowing this it is simple math at this point as simple as \frac{1}{3} x \frac{1}{2}

5. 1 x 1 = 1 and 3 x 2 = 6

6. leading to \frac{1}{6}

4 0
2 years ago
The librarian noticed that 60% of seventh graders checked out fantacy books. About how many of 240 seventh graders would check o
ehidna [41]

Answer:

The correct answer is 144.

Step-by-step explanation:

The librarian noticed that 60% of total seventh graders checked out fantasy books from the library.

Total number of seventh graders is given to be 240.

Number of seventh grade students who checked out fantasy books = 60% of 240 = 0.6 × 240 = 144.

Thus out of 240 seventh graders 144 of them would check out  a fantasy book from the library.

4 0
3 years ago
Which statement is an example of the Addition Property of Equality? (1 point). . If p = q then p • s = q • s .. If p = q then p
atroni [7]
The formal name for the property of equality that allows one to add the same quantity to both sides of an equation. This is one of the most commonly used properties for solving equations.

The formula tells us that if a = b, then a + c = b + c. The letters a and b stand for two separate numbers, our two twins, and the letter c stands for what we give to each twin to keep them matching. So, for example, if we add 1 to the left side of the equation, we must also add 1 to the right side of the equation. By doing this, we keep the equation, the twins, the same.

Answer: correct choice is B.
4 0
3 years ago
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Given angle 2 is congruent to angle 4 prove measure of angle 1 equals measure of angle 3
Likurg_2 [28]
If two angles are equal then the other angles will also be equal
6 0
3 years ago
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