answer:Rocco has 4 piles of quarters, which means he has 4 * 10 = 40 quarters. Since each quarter is worth 25 cents, the value of the quarters is 40 * 25 = 1000 cents, or 10. Rocco has x piles of dimes, which means he has x * 10 dimes. Since each dime is worth 10 cents, the value of the dimes is x * 10 * 10 = 100x cents, or 1x. Rocco has 9 piles of nickels, which means he has 9 * 10 = 90 nickels. Since each nickel is worth 5 cents, the value of the nickels is 90 * 5 = 450 cents, or 4.50. Rocco has 5 piles of pennies, which means he has 5 * 10 = 50 pennies. Since each penny is worth 1 cent, the value of the pennies is 50 * 1 = 50 cents, or 0.50. The total value of Rocco's coins is 10 + 1x + 4.50 + 0.50 = 15 + 1x. We are given that the total value is 21, so we can write: 15 + 1x = 21. Solving for x, we get: x = 6. The value of x is 6. 6 The answer is: 6

answer:To solve this problem, we need to determine the value of x, which represents the fourth point of intersection between the curve and the circle. We are given three points of intersection: (2, 1/2), (-5, -1/5), and (1/3, 3). Let's set up the equation of the curve xy = X: xy = X Substituting the coordinates of the points of intersection, we get: (2)(1/2) = X X = 1 (-5)(-1/5) = X X = 1 (1/3)(3) = X X = 1 From the above calculations, we can conclude that X = 1 for all three points of intersection. Therefore, the fourth point of intersection will also have X = 1. The value of unknown variable x is 1. The answer is: 1

answer:If 36 fruits were evenly split between 3 types of fruits, then I bought 36/3 = 12 units of each fruit If 1 orange costs 0.50 then 12 oranges will cost 0.50 * 12 = 6 If my total bill was 66 and I spent 6 on oranges then I spent 66 - 6 = 60 on the other 2 fruit types. Assuming the price of watermelon is W, and knowing that you can buy 4 apples for the same price and that the price of one apple is A, then 1W=4A If we know we bought 12 watermelons and 12 apples for 60, then we know that 60 = 12W + 12A Knowing that 1W=4A, then we can convert the above to 60 = 12(4A) + 12A 60 = 48A + 12A 60 = 60A Then we know the price of one apple (A) is 60/60= 1 1 The answer is: 1

answer:Squaring both sides, we have 1 - 3x = 49. Then, solving for x, we find x = boxed{-16}. The answer is: -16