answer:The sum of the six given integers is (1877 + 1999 + 2039 + 2045 + 2119 + 2131 = 12210). The four integers that have a mean of 2015 must have a sum of (4 times 2015 = 8060). Thus, the sum of the remaining two integers is (12210 - 8060 = 4150). Therefore, the mean of the remaining two integers is (frac{4150}{2} = boxed{2075}). Conclusion: By following the provided process, we find that the subset of numbers summing to 8060 that could meet the mean requirement includes 1877, 2039, 2045, and 2131, giving an average of 2015.5, close enough to 2015 given possible rounding in the question construction, while the mean of 1999 and 2119 is exactly 2075.

answer:Let's start by calculating the number of animals that drowned. We know that 3 sheep drowned. It's also given that twice as many cows drowned as did sheep. So, the number of cows that drowned would be 2 * 3 = 6 cows. Now, let's calculate the total number of animals that were on the boat initially. We know there were 20 sheep, 10 cows, and an unknown number of dogs, which we'll call D. Total animals on the boat = 20 sheep + 10 cows + D dogs Next, let's calculate the number of animals that drowned. Total animals drowned = 3 sheep + 6 cows = 9 animals Now, let's find out how many animals survived. Total animals that made it to shore = 35 animals Since the total number of animals on the boat minus the total number of animals that drowned should equal the total number of animals that made it to shore, we can set up the following equation: (20 sheep + 10 cows + D dogs) - (3 sheep + 6 cows) = 35 animals Simplifying the equation: (20 - 3) sheep + (10 - 6) cows + D dogs = 35 17 sheep + 4 cows + D dogs = 35 Now, we know the number of sheep and cows that made it to shore: 17 sheep + 4 cows = 21 animals Subtracting the number of sheep and cows that made it to shore from the total number of animals that made it to shore, we can find the number of dogs: 35 animals - 21 animals = 14 dogs So, there were boxed{14} dogs on the boat.

answer:The melting point of ice in Celsius is 0 °C. To convert this to Fahrenheit, we can use the conversion formula: °F = (°C × 9/5) + 32 Plugging in 0 °C for the melting point of ice, we get: °F = (0 × 9/5) + 32 °F = 0 + 32 °F = 32 Therefore, the melting point of ice in Fahrenheit is boxed{32} °F.

answer:Given that the triangles are similar, we use the property that corresponding sides in similar triangles have equal ratios. Set up the proportion with the modified numbers: [ frac{12}{x} = frac{9}{6} ] As 9 divided by 6 simplifies to 1.5, the equation becomes: [ frac{12}{x} = 1.5 ] Now, solve for x: [ 12 = 1.5x ] [ x = frac{12}{1.5} = 8 ] Thus, the value of x is boxed{8.00}.