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Margarita [4]
3 years ago
10

The Fratellis will be arrested if and only if the police believe Chunk. Question 9 options: 1) p ↔ q 2) p ∨ q 3) p → q 4) ~p 5)

p ∧ q
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Answer:

Option 1) p ←→ q

Step-by-step explanation:

The given statement is a combination of two phrases with a connective word.

Phrase 1 - The Fratellis will be arrested.

We consider this phrase as phrase p.

Phrase 2 - If the police believe chunk.

Phrase q.

Now these statements p and q are connected with a connecting word "If only and only".

When two phrases are connected by the connecting words "Only and only if", this connecting word is called as biconditional operator.

p (connecting word) q

p ( If and only if) q

p ←→ q

Therefore, Option 1) p ←→ q is the answer.

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Solve 4(3x+3)=15x+7-3x+5
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Answer:

Infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

4(3x + 3) = 15x + 7 - 3x + 5

Step 2: Solve for <em>x</em>

  1. Distribute 4: 12x + 12 = 15x + 7 - 3x + 5
  2. Combine like terms: 12x + 12 = 12x + 12
  3. Subtract 12 on both sides: 12x = 12x
  4. Divide both sides by 12: x = x

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7 0
3 years ago
Sophie pays m dollars to rent a car for the weekend on the drive home she buys $45 worth of gasoline her friend melody pays for
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Complete Question

Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answer:

1/2m + 45

Step-by-step explanation:

We are told in the question that:

On the drive home, she buys $45 worth of gasoline.

Her friend Melody pays for one-half the cost of the car rental only.

Sophie pays m dollars to rent a car for the weekend.

The amount sophie pays for car rental = m - 1/2m

= 1/2m

Therefore, the expression used to determine how much sophie spent is written as:

1/2 × $m + $45

1/2m + 45

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