answer:Sandra saved 10 and her mother gave her 4, so she has a total of 10 + 4 = 14. Her father gave her twice as much as her mother, so he gave her 4 x 2 = 8. In total, Sandra has 14 + 8 = 22 to spend on sweets. One candy costs 0.5 and she wants to buy 14 candies, so she will spend 0.5 x 14 = 7 on candies. One jelly bean costs 0.2 and she wants to buy 20 jelly beans, so she will spend 0.2 x 20 = 4 on jelly beans. In total, she will spend 7 + 4 = 11 on sweets. After the purchase, she will be left with 22 - 11 = 11. Therefore, Sandra will be left with 11 after the purchase. 11 The answer is: 11

answer:We have |wz| = |w|cdot |z|, so |wz| = sqrt{13} cdot |z|. On the other hand, |wz| = |12-8i| = sqrt{12^2 + (-8)^2} = sqrt{144 + 64} = sqrt{208}. Setting the two expressions for |wz| equal, we have sqrt{208} = sqrt{13} cdot |z|. Dividing both sides by sqrt{13}, we get |z| = boxed{sqrt{16}} = boxed{4}. The answer is: 4

answer:To average 85 minutes of skating each day for the entire time, Gage would need to skate a total of 85 times 9 = 765 minutes over the 9 days. He has already skated a total of 1 text{ hr 15 min} times 5 + 1 text{ hr 30 min} times 3 = 375 + 270 = 645 minutes over the first 8 days. Therefore, he would need to skate 765 - 645 = boxed{120} minutes on the ninth day to reach the average of 85 minutes per day. The answer is: 120

answer:To solve this problem, we need to determine the value of x, which represents the cost of each ticket. Let's break down the information given: Number of people for the first showing: 200 Number of people for the second showing: 3 * 200 = 600 Total number of people: 200 + 600 = 800 Total revenue from ticket sales: 20,000 We can set up the equation as follows: Number of people * Cost per ticket = Total revenue 800 * x = 20,000 Let's simplify and solve for x: 800x = 20,000 To isolate x, we divide both sides of the equation by 800: 800x / 800 = 20,000 / 800 x = 25 The value of x is 25. 25 The answer is: 25