answer:First, let's convert the time to seconds. Six minutes is equal to 6 x 60 = 360 seconds. Next, let's find out how many pencils the hand-crank sharpener can sharpen in 360 seconds. Since the hand-crank sharpener can sharpen one pencil every 45 seconds, it can sharpen 360 / 45 = 8 pencils. Now, let's find out how many pencils the electric sharpener can sharpen in 360 seconds. Since the electric sharpener can sharpen one pencil every 20 seconds, it can sharpen 360 / 20 = 18 pencils. Therefore, the electric sharpener can sharpen 18 - 8 = 10 more pencils compared to the hand-crank sharpener in a span of six minutes. 10 The answer is: 10

answer:We are given that the square of an integer x is X. To find the value of (x+1)(x-1), we can expand the expression using the difference of squares. (x+1)(x-1) = x^2 - 1^2 Since the square of x is X, we can substitute X into the expression: (x+1)(x-1) = X - 1 Given that the value of (x+1)(x-1) is 1520, we can write: 1520 = X - 1 Adding 1 to both sides of the equation, we find: 1520 + 1 = X X = 1521 The value of X is 1521. The answer is: 1521

answer:The smallest prime number is 2. The second prime number is 3. The square of 3 is 3^2 = 9. Cubing 9 gives us 9^3 = 729. Therefore, the result of cubing the square of the second prime number is boxed{729}.The answer is: 729

answer:Jasmine swims 12 laps every afternoon from Monday to Friday, so she swims 12 x 5 = 60 laps in a week. In five weeks, she will swim 60 x 5 = 300 laps. 300 The answer is: 300