answer:The population of Youngsville increased by 25%, so the population increased by 684 x 25% = 171 people. The new population after the increase is 684 + 171 = 855 people. However, 40% of the population moved away, so the population decreased by 855 x 40% = 342 people. The current population is 855 - 342 = 513 people. 513 The answer is: 513

answer:At first, there were 10 snowflakes. Every 5 minutes, 4 additional snowflakes fell, which means the number of snowflakes increased by 4 after every 5 minutes. To find out how many minutes passed before there were x snowflakes, we can set up the equation: 10 + 4n = x where n represents the number of 5-minute intervals that have passed. We are given that the number of snowflakes is x after 60 minutes, so we can write: 10 + 4(12) = x Simplifying, we get: 10 + 48 = x x = 58 The value of x is 58. 58 The answer is: 58

answer:Sally has 342 pens and there are 44 students in her class. If she gives 7 pens to each student, she will give out a total of 7 x 44 = 308 pens. She will have 342 - 308 = 34 pens remaining. Since she left half of the remainder in her locker, she will leave 34 / 2 = 17 pens in her locker. Therefore, Sally takes home 34 - 17 = 17 pens. 17 The answer is: 17

answer:The area of a circle is given by the formula A = pi r^2, where A is the area and r is the radius. In this case, we are given that the area is pi square units. So, we have pi = pi r^2. Dividing both sides by pi, we get r^2 = 1. Taking the square root of both sides, we get r = 1. The diameter of a circle is twice the radius, so the length of the circle's diameter is 2r = 2(1) = boxed{2} units. The answer is: 2