Skip to content
🤔prompts chat🧠
🔍
question:Suppose I have a bag with 12 slips of paper in it. Some of the slips have a 2 on them, and the rest have a 7 on them. If the expected value of the number shown on a slip randomly drawn from the bag is 3.25, There are 9 slips that have an X. What is the value of unknown variable X?

answer:To solve this problem, we need to determine the value of x, which represents the number of slips with a 2 on them. We know that the expected value of the number shown on a slip randomly drawn from the bag is 3.25. The total number of slips in the bag is 12. Let's set up the equation for the expected value: (9 * X + (12 - 9) * 7) / 12 = 3.25 (9 * X + 3 * 7) / 12 = 3.25 (9 * X + 21) / 12 = 3.25 9 * X + 21 = 39 9 * X = 39 - 21 9 * X = 18 To solve for x, we divide both sides of the equation by 9: X = 18 / 9 X = 2 The value of x is 2. The answer is: 2

question:Jame gets a raise to 20 per hour and works 40 hours a week. His old job was x an hour for 25 hours per week. How much more money does he make per year in his new job than the old job if he works 52 weeks a year? If we know the answer to the above question is 20800, what is the value of unknown variable x?

answer:In his new job, Jame makes 20 per hour and works 40 hours a week, so his weekly income in his new job is 20 * 40 = 800. In his old job, he made x an hour for 25 hours per week, so his weekly income in his old job is x * 25. To find out how much more money he makes per year in his new job than the old job, we need to calculate the difference in their yearly incomes. Since there are 52 weeks in a year, his yearly income in his new job is 800 * 52 = 41,600. His yearly income in his old job is x * 25 * 52. The difference in their yearly incomes is 41,600 - (x * 25 * 52). We are given that the difference in their yearly incomes is 20,800, so we can write: 41,600 - (x * 25 * 52) = 20,800. Simplifying the left side, we get: 41,600 - 1300x = 20,800. Subtracting 41,600 from both sides, we get: -1300x = -20,800. Dividing both sides by -1300, we get: x = 16. The value of x is 16. 16 The answer is: 16

question:Vaishali wears a beautiful piece of clothing called a Saree, a traditional Indian dress for women. It is mostly tangerine-colored, with blue, brown, and gold-colored decorative stripes. There are three times as many gold stripes as brown stripes, and five times as many blue stripes as gold stripes. If there are 4 brown stripes, how many blue stripes does Vaishali's Saree have?

answer:If there are 4 brown stripes, and there are three times as many gold stripes, then there are 4 * 3 = 12 gold stripes. If there are five times as many blue stripes as gold stripes, then there are 12 * 5 = 60 blue stripes. So Vaishali's Saree has 60 blue stripes. 60 The answer is: 60

question:f Susie currently has 200 in her piggy bank and she adds 20% more money, what will be the total amount of money in her piggy bank?

answer:20% of 200 is 20/100 * 200 = 40 So, Susie adds 40 to her piggy bank The total amount of money in her piggy bank will be 200 + 40 = 240 240 The answer is: 240

Released under the Diffusion License.

has loaded