answer:Dr. Banks gave away a total of 53 + 67 + 46 = 166 toothbrushes in January, February, and March. He had 330 - 166 = 164 toothbrushes remaining for April and May. In April, Dr. Banks gave away 164 / 2 = 82 toothbrushes. In May, he also gave away 82 toothbrushes. The busiest month in terms of giving away toothbrushes was April, where Dr. Banks gave out 82 toothbrushes. The slowest month in terms of giving away toothbrushes was March, where Dr. Banks gave out 46 toothbrushes. To find the difference, we subtract the number of toothbrushes given away in the slowest month from the busiest month: 82 - 46 = 36 Dr. Banks gave out 36 more toothbrushes in the busiest month compared to the slowest month. 36 The answer is: 36

answer:To solve this problem, we need to determine the value of x, which represents the absolute value of the complex number z. We know that the absolute value of a complex number z is denoted as |z|. We also know that the product of a complex number and its conjugate is equal to the square of its absolute value. Therefore, we can set up the equation as follows: |z|^2 = 169 Let's simplify and solve for x: x^2 = 169 To solve for x, we take the square root of both sides of the equation: √(x^2) = √169 x = ±13 Since the absolute value cannot be negative, the value of x is 13. The value of x is 13. The answer is: 13

answer:We notice that the second equation can be factored as (xy)(x+y) + (x+y) = 63, or (xy+1)(x+y) = 63. Since xy=6, we have (6+1)(x+y) = 63, or 7(x+y) = 63. Therefore, x+y = 9. We also know that (x+y)^2 = x^2 + 2xy + y^2 = (x^2 + y^2) + 2(xy). Substituting xy=6 and x+y=9, we have 9^2 = x^2 + y^2 + 2(6), or 81 = x^2 + y^2 + 12. Thus, x^2 + y^2 = 81 - 12 = boxed{69}. The answer is: 69

answer:Calvin purchases a pack of chips for 0.50 every day, so in a week, he spends 0.50 x 5 = 2.50 on chips. In 4 weeks, he spends 2.50 x 4 = 10 on chips. Therefore, Calvin has spent 10 on chips. 10 The answer is: 10