answer:The length of the rectangle is the difference between the x-coordinates of the two rightmost vertices, so it is 7 - (-1) = 8. The height of the rectangle is the difference between the y-coordinates of the two top vertices, so it is y - 3. Since the area of a rectangle is given by length times height, we have the equation 8(y - 3) = 72. Simplifying, we get y - 3 = 9, so y = boxed{12}. The answer is: 12

answer:We need to find the smallest positive integer solution to the equation 300p + 210g = d, where p represents the number of pigs and g represents the number of goats. We can rewrite this equation as 30p + 21g = d/10. Since 30 and 21 have a greatest common divisor of 3, the equation has a solution if and only if d/10 is a multiple of 3. The smallest positive multiple of 3 is 3, so the smallest positive debt that can be resolved is d = 10 times 3 = boxed{30}. The answer is: 30

answer:To determine the remainder when a number is divided by 9, we can take the sum of the digits of the number and find the remainder when that sum is divided by 9. For 5462, the sum of the digits is 5+4+6+2=17. Since 17 divided by 9 leaves a remainder of boxed{8}, the remainder when 5462 is divided by 9 is 8.The answer is: 8

answer:After running 2 ounces of cleaner per minute for 15 minutes, a total of 2 * 15 = 30 ounces of cleaner were used. After the first 15 minutes, the cleaner is able to unclog the pipe enough to allow 3 ounces to run through per minute. Therefore, in the next 10 minutes, a total of 3 * 10 = 30 ounces of cleaner were used. After the next 10 minutes, the clog is completely cleared and 4 ounces can run through per minute. Therefore, in the final 5 minutes, a total of 4 * 5 = 20 ounces of cleaner were used. In total, after 30 minutes, a total of 30 + 30 + 20 = 80 ounces of cleaner were used. 80 The answer is: 80