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Bezzdna [24]
3 years ago
9

On a certain island, each inhabitant is either a truth-teller or a liar (and not both, of course). A truth-teller always tells t

he truth and a liar always lies. Arnie and Barnie live on the island.
Suppose Arnie says "If I am a truth-teller, then each person living on this island is either a truth-teller or a liar." Which one is Arnie?
Mathematics
1 answer:
rewona [7]3 years ago
4 0

Answer:

Truth teller

Step-by-step explanation:

Arnie is most likely to be a liar in this case.

The response should satisfy the conditions in the statement.

The question is based on the logic. The guiding word is the conditional "if."

Logically, people at the island are either truth tellers or liars; it follows that Arnie is a truth teller and is an inhabitant of the island.

It is notable that each of them has some probability of being a truth-teller or a liar at some point.

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Step-by-step explanation:

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Ten less than three times the sum of a number and five is equal to twenty-nine. What is the number ?
kozerog [31]
Hello!
So the following would be your equation.
3(x+5)-10= 29
Your first step would be to use the Distributive Property based upon PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). Since we have Parenthesis, we distribute first.
3(x+5)-10=29
^ ^
——————
So, your new equation would be—
3x+15-10=29
Now, you need to combine like terms—
15-10=29
3x+5=29
——————
Therefore your new equation is—
3x+5=29.
Now you need to move the constants (5,29) to one side of the equal sign. To do this, you would use the Subtraction Property of Equality and rid the 5–
3x+5=29
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——————
Your equation is now—
3x=24.
Finally, you need to remove the 3 from x. This means you must use the Division Property of Equality, and rid the 3.
3x=24
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3 3
Your solved equation is—
X=8

Hope this helped!
~KayEmQue

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