answer:To solve this problem, we need to determine the value of x, which represents the number of hours Arman worked last week. Let's break down the information given: Number of hours worked last week: x Number of days worked last week: 5 Hourly rate last week: 10 Number of hours to work this week: 40 Increase in hourly rate this week: 0.5 Total earnings for two weeks: 770 We can set up the equation as follows: (Number of hours worked last week * Hourly rate last week) + (Number of hours to work this week * (Hourly rate last week + Increase in hourly rate this week)) = Total earnings for two weeks (x * 10) + (40 * (10 + 0.5)) = 770 Let's simplify and solve for x: 10x + (40 * 10 + 40 * 0.5) = 770 10x + (400 + 20) = 770 10x + 420 = 770 To isolate x, we subtract 420 from both sides of the equation: 10x + 420 - 420 = 770 - 420 10x = 350 To solve for x, we divide both sides of the equation by 10: x = 350 / 10 x = 35 The value of x is 35. 35 The answer is: 35

answer:Colby harvested 60 kilograms of mangoes. He sold 20 kilograms to the market, so he has 60 - 20 = 40 kilograms of mangoes left. He sold the remaining half to his community, which means he sold 40/2 = 20 kilograms of mangoes. If each kilogram contains x mangoes, then the total number of mangoes he still has is 20 * x. We are given that the total number of mangoes he still has is 160, so we can write: 20 * x = 160. Dividing both sides by 20, we get: x = 8. The value of x is 8. 8 The answer is: 8

answer:If Ken's house is twice as far from Dawn's house as Mary's house, and Ken's house is 4 miles away from Dawn's house, then Mary's house is 4/2 = 2 miles away from Dawn's house. If Ken goes from his house to Dawn's house, he covers a distance of 4 miles. If he then goes from Dawn's house to Mary's house, he covers a distance of 2 miles. If he goes back from Mary's house to Dawn's house, he covers another 2 miles. Finally, if he goes back from Dawn's house to his own house, he covers another 4 miles. In total, Ken covers a distance of 4 + 2 + 2 + 4 = 12 miles. 12 The answer is: 12

answer:Maddie watches 8 episodes of the TV show this week, and each episode is about x minutes long. She watches 138 minutes on Monday, 0 minutes on Tuesday and Wednesday, and 21 minutes on Thursday. On Friday, she watches 2 episodes, which means she watches 2 * x minutes on Friday. The total number of minutes she watches over the weekend is the sum of the minutes she watches on Friday and the minutes she watches on Saturday and Sunday. We are given that the total number of minutes she watches over the weekend is 105, so we can write: 2x + (minutes on Saturday and Sunday) = 105. To find the number of minutes she watches on Saturday and Sunday, we need to subtract the minutes she watches on Monday, Tuesday, Wednesday, Thursday, and Friday from the total number of minutes in a week, which is 8 * x. So we have: 8x - (138 + 0 + 0 + 21 + 2x) = 105. Simplifying the left side, we get: 8x - 138 - 21 - 2x = 105. Combining like terms, we get: 6x - 159 = 105. Adding 159 to both sides, we get: 6x = 264. Dividing both sides by 6, we get: x = 44. The value of x is 44. 44 The answer is: 44