Amanda has 21 coins in her piggy bank made up of nickels, dimes, and quarters. There are twice as many quarters as nickels and the total value of all the coins is $3.60. Let n = the number of nickels, d = the number of dimes, and q = the number of quarters. The system shown below represents this situation. q=2n n+d+q=21 0.05n+0.10d+0.25q=3.6 Amanda plans to set up an augmented matrix to solve the system. If she solves it correctly, how many quarters should be in her piggy bank?

The amount spent on food and drink by 20 customers is shown below what is the modal amount spent and the median amount spent? 40 25 8 36 18 15 24 27 43 9 12 19 22 34 31 20 26 19 17 28

Lizette is training for a marathon. at 7: 00 she left her house and ran until 8: 30, then she walked until 11: 30. she covered a total distance of 18 miles. her running speed was six miles per hour faster than her walking speed. find her running and walking speeds in miles per hour.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.