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morpeh [17]
2 years ago
13

Four friends are playing the board game Hidden Treasure. The game begins with 40 coins

Mathematics
1 answer:
liraira [26]2 years ago
8 0

Answer:

I hope this helps 40 divided by 4 is 10 10 per person 10-2=8 8 coins in each players bag and the total amount of coins in bags is 8 times 4 which is 32

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Let p be "it is raining" and q be "the track meet will be canceled."<br> write p-&gt;q in words
trasher [3.6K]

The statement for the logic \text{p}\rightarrow\text{q} is \fbox{\begin\\\ \text{If it is raining then the track meet will be cancelled}\\\end{minispace}}

Further explanation:

The logic given in the question is \text{p}\rightarrow\text{q}.

The logic \text{p}\rightarrow\text{q} is a symbol of implication.

Statement p is “It is raining” and the statement q is “The track meet will be canceled”.

The statement formed for the logic \text{p}\rightarrow\text{q} is called a compound statement.

The truth table for the logic \text{p}\rightarrow\text{q} is attached below.

From the table attached below  it is observed that there are four cases for the compound statement.

Case1:

If p statement is true and the q statement is true then the compound statement for \text{p}\rightarrow\text{q} is also true.

Case 2:

If p statement is true and the q statement is false then the compound statement for \text{p}\rightarrow\text{q} is false.

Case 3:

If p statement is false and the q statement is true then the compound statement for \text{p}\rightarrow\text{q} is true.

Case 4:

If p statement is false and the q statement is false then the compound statement for \text{p}\rightarrow\text{q} is true.

For a true statement it can also be said that it is a positive statement and for a false statement it can be said that it is a negative statement.

Statement p is given as “It is raining”, which is a positive statement or a true statement.

Statement q is given as “The track meet will be cancelled”, which is a positive statement or a true statement.

As per the table attached for the logic \text{p}\rightarrow\text{q} it is observed that the given statements p and q resembles with the case 1 as both of the statement are true.

So, the compound statement for \text{p}\rightarrow\text{q} is also a true statement.

The compound statement for the logic \text{p}\rightarrow\text{q} is as follows:

\fbox{\begin\\\ \text{If it is raining then the track meet will be cancelled}\\\end{minispace}}

Therefore, the compound statement for the logic \text{p}\rightarrow\text{q} is \fbox{\begin\\\ \text{If it is raining then the track meet will be cancelled}\\\end{minispace}}

Learn more:

  1. A problem on composite function brainly.com/question/2142762
  2. A problem on simplification brainly.com/question/894273
  3. A problem in inverse function brainly.com/question/1632445

Answer details

Grade: High school

Subject: Mathematics

Chapter: Logic

Keywords: Logics, implications, compound, compound statement, true statement, false statement, positive statement, negative statement, p->q.  

8 0
3 years ago
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