answer:The distance between two points (x_1,y_1) and (x_2,y_2) in the complex plane is given by the formula sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. In this case, Joe's point is (1,2) and Gracie's point is (-1,1). So the distance between their points is sqrt{((-1)-(1))^2+((1)-(2))^2}=sqrt{(-2)^2+(-1)^2}=sqrt{4+1}=sqrt{5}. Therefore, Gracie and Joe's points are boxed{sqrt{5}} units apart. The answer is: sqrt{5}

answer:Each player requires a 25 jersey, a 15.20 pair of shorts, and a pair of socks priced at 6.80. So the total cost for each player is 25 + 15.20 + 6.80 = 47. Since there are sixteen players on the football team, the total cost for all of them is 16 * 47 = 752. 752 The answer is: 752

answer:To solve this problem, we need to determine the value of x, which represents the number of cakes Donald ate while waiting for the party to start. Let's break down the information given: Number of cakes baked by Diego: 12 Number of cakes baked by Donald: 4 Number of cakes left: 15 We can set up the equation as follows: Number of cakes baked by Diego + Number of cakes baked by Donald - Number of cakes eaten by Donald = Number of cakes left 12 + 4 - x = 15 Let's simplify and solve for x: 16 - x = 15 To isolate x, we subtract 16 from both sides of the equation: 16 - x - 16 = 15 - 16 -x = -1 Finally, we multiply both sides of the equation by -1 to solve for x: x = 1 The value of x is 1. 1 The answer is: 1

answer:10101_3 = 1 cdot 3^4 + 0 cdot 3^3 + 1 cdot 3^2 + 0 cdot 3^1 + 1 cdot 3^0 = 81 + 9 + 1 = boxed{91}. The answer is: 91