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An elevator has a weight limit of \(630\,\text{kg}\). It is carrying a group of people of whom the heaviest weighs
Problem Solving
Re: An elevator has a weight limit of \(630\,\text{kg}\). It is carrying a group of people of whom the heaviest weighs
To find the maximum possible number of people, we can subtract the weight of the heaviest person from the weight limit of the elevator and then divide by the weight of the lightest person. (630 kg - 101 kg) / 53 kg ≈ 10.47 So, the maximum possible number of people in the group is 10. Therefore, the ...
- by adamarkin
Thu Dec 21, 2023 7:05 pm- Forum: Problem Solving
- Topic: An elevator has a weight limit of \(630\,\text{kg}\). It is carrying a group of people of whom the heaviest weighs
- Replies: 3
- Views: 2227
At a gathering of \(30\) people, there are \(20\) people who all know each other and \(10\) people who know no one.
Problem Solving
Re: At a gathering of \(30\) people, there are \(20\) people who all know each other and \(10\) people who know no one.
For the 10 people who know no one, there are (C(10, 2) = \frac{10 \times 9}{2} = 45) handshakes.
For the 20 people who all know each other, there are no handshakes as they all hug.
Adding both, the total number of handshakes is (45).
- by adamarkin
Sun Dec 17, 2023 8:46 pm- Forum: Problem Solving
- Topic: At a gathering of \(30\) people, there are \(20\) people who all know each other and \(10\) people who know no one.
- Replies: 1
- Views: 402
If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\)
Problem Solving
Re: If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\)
If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\) A. \(3\) B. \(6\) C. \(5\) D. \(4\) E. \(2\) The OA is C When x > 0, we can start by substituting x = 1, 2, 3, 4, 5 and solving for |y| in each case. This will give us the corresponding integer values ...
- by adamarkin
Fri Dec 15, 2023 7:33 pm- Forum: Problem Solving
- Topic: If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\)
- Replies: 1
- Views: 539
Re: There are 13 hearts in a full deck of 52 cards. In a certain
There are 13 hearts in a full deck of 52 cards. In a certain game, you pick a card from a standard deck of 52 cards. If the card is a heart, you win. If the card is not a heart, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he p...
- by adamarkin
Thu Dec 14, 2023 10:57 pm- Forum: Problem Solving
- Topic: There are 13 hearts in a full deck of 52 cards. In a certain
- Replies: 4
- Views: 2430