answer:If Kim purchases 3 pizzas, each with 12 slices, then she has a total of 3 x 12 = 36 slices. If the total cost of the pizzas is 72, then the cost of each slice is 72 / 36 = 2. Therefore, the cost of 5 slices is 5 x 2 = 10. 10 The answer is: 10

answer:Paul is able to catch 5 fish for every 2 hours of fishing, so the ratio is 5 fish / 2 hours. If we want to find out how many fish he caught in 12 hours, we need to set up a proportion. 2 hours / 5 fish = 12 hours / x fish Cross-multiplying, we get 2x = 5 * 12 Simplifying, we have 2x = 60 Dividing both sides by 2, we find that x = 30 Therefore, Paul caught 30 fish when he was fishing for 12 hours. 30 The answer is: 30

answer:First, we move all terms to one side of the equation to get z^2-12z+7=0. We can either factor this quadratic or use the quadratic formula to find the solutions. Factoring this quadratic is not obvious, so we can use the quadratic formula: z=frac{-(-12)pmsqrt{(-12)^2-4(1)(7)}}{2(1)}=frac{12pmsqrt{144-28}}{2}=frac{12pmsqrt{116}}{2}=frac{12pm2sqrt{29}}{2}=6pmsqrt{29}. The sum of the solutions is (6+sqrt{29})+(6-sqrt{29})=12, so the answer is boxed{12}. The answer is: 12

answer:The perimeter of a square is calculated by multiplying the length of one side by 4. Since the side length of the square fence is 27 yards, the perimeter of the playground fence is 27 x 4 = 108 yards. The garden has dimensions of 12 yards by 9 yards, so the perimeter of the garden fence is (12 + 9) x 2 = 42 yards. To find the total length of fencing for both the playground and the garden, we add the perimeter of the playground fence and the perimeter of the garden fence: 108 + 42 = 150 yards. 150 The answer is: 150