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question:Determine the positive integer value of sqrt{3! cdot 3!}.

answer:3!=3cdot2cdot1=6, so sqrt{3! cdot 3!}=sqrt{6cdot6}=sqrt{36}=6. The answer is: 6

question:f Marvin and Tina were selling candy bars for their class trip, and each candy bar costs 2, Marvin sold a total of 35 candy bars. Tina, on the other hand, sold three times the number of candy bars as Marvin. How much more money did Tina make for the class trip by selling candy bars compared to Marvin?

answer:Marvin sold 35 candy bars, so he made a total of 35 * 2 = 70 for the class trip. Tina sold three times the number of candy bars as Marvin, so she sold 35 * 3 = 105 candy bars. Tina made a total of 105 * 2 = 210 for the class trip. To find out how much more money Tina made compared to Marvin, we subtract Marvin's total from Tina's total: 210 - 70 = 140. Tina made 140 more for the class trip by selling candy bars compared to Marvin. 140 The answer is: 140

question:Four years ago you invested some money at 10% interest. You now have X in the account. If the interest was compounded yearly, You invested 300 4 years ago. What is the value of unknown variable X?

answer:To solve this problem, we need to determine the value of X, which represents the amount of money in the account now. We know that four years ago, you invested 300 at 10% interest compounded yearly. Let's use the formula for compound interest to calculate the value of X: X = P(1 + r/n)^(n*t) Where: X is the final amount of money in the account P is the principal amount (initial investment) r is the annual interest rate (as a decimal) n is the number of times the interest is compounded per year t is the number of years In this case, the principal amount is 300, the annual interest rate is 10% or 0.10, the interest is compounded yearly, and the number of years is 4. Plugging in the values into the formula: X = 300(1 + 0.10/1)^(1*4) X = 300(1 + 0.10)^4 X = 300(1.10)^4 X = 300(1.4641) X = 439.23 Therefore, the value of the unknown variable X is 439.23. The answer is: 439.23

question:Milly and Floretta are having a water balloon fight in their garden. They use 3 packs of their own water balloons and also use 2 packs of a neighbor’s water balloons. Each pack of water balloons contains 6 balloons. Milly and Floretta fill all of the balloons then split them evenly, but Milly takes an extra 7 balloons when Floretta isn't looking. How many water balloons is Floretta left with?

answer:Milly and Floretta use 3 packs of their own water balloons, so they have a total of 3 * 6 = 18 balloons. They also use 2 packs of the neighbor's water balloons, so they have an additional 2 * 6 = 12 balloons. In total, they have 18 + 12 = 30 water balloons. They split the balloons evenly, so each of them should have 30 / 2 = 15 balloons. However, Milly takes an extra 7 balloons, so Floretta is left with 15 - 7 = 8 balloons. Therefore, Floretta is left with 8 water balloons. 8 The answer is: 8

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