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question:DJ Snake's friends decided to give him treats to celebrate his engagement. Moksi took him and his fiancee to a luxurious hotel for two nights at 4000 per night. Lil Jon bought them a car worth 30000, and Wynter presented them with a house worth four times the value of the car Lil Jon bought them. What was the total value of all the treats DJ Snake received on his engagement day?

answer:The cost of the hotel for two nights is 4000 x 2 = 8000 The value of the house is 4 x 30000 = 120000 So the total value of all the treats is 8000 + 30000 + 120000 = 158000 158000 The answer is: 158000

question:Mike decides to buy a new camera. He wants to buy a top-of-the-line camera but he decides to wait for the new model to come out. The new model costs 30% more than the current model. The old camera cost 4000. He gets 200 off a 400 lens he bought. How much did he pay for the camera and lens?

answer:The new model costs 30% more than the old model, so it costs 30/100 * 4000 = 1200 more. Therefore, the new camera costs 4000 + 1200 = 5200. Mike also bought a lens for 400 but got a 200 discount, so he paid 400 - 200 = 200 for the lens. In total, Mike paid 5200 + 200 = 5400 for the camera and lens. 5400 The answer is: 5400

question:The sum of an infinite geometric series is 27 times the series that results if the first three terms of the original series are removed. What is the value of the series' common ratio?

answer:Let the first term of the original series be a and the common ratio be r. Then the sum of the original series is frac{a}{1-r}. If we remove the first three terms, the resulting series starts with ar^3. The sum of this series is frac{ar^3}{1-r}. Given that the sum of the original series is 27 times the sum of the resulting series, we have frac{a}{1-r} = 27 cdot frac{ar^3}{1-r}. Simplifying, we get 1 = 27r^3. Taking the cube root of both sides, we find r = boxed{frac{1}{3}}. The answer is: frac{1}{3}

question:Justin can run 2 blocks in x minutes. If he is 8 blocks from home, in how many minutes can he run home? If we know the answer to the above question is 6, what is the value of unknown variable x?

answer:We know that Justin can run 2 blocks in x minutes, or 2/x blocks per minute. To find out how many minutes it will take him to run 8 blocks, we can use the formula: time = (number of blocks) / (blocks per minute) Substituting 8 for "number of blocks" and 2/x for "blocks per minute", we get: time = 8 / (2/x) = (8 * x) / 2 = 4x We are given that the time it takes Justin to run home is 6 minutes, so we can write: 4x = 6 Solving for x, we get: x = 1.5 The value of x is 1.5. 1.5 The answer is: 1.5