Daraell completed 35 push-ups in 1 minute 8 more than his previous personal best. mia completed 6 more than kate. if mia completed the same amount of push-ups as darrell completed during his personal best, how many push-ups did kate complete?

Solve for x and y: 217x + 131y = 913; 131x + 217y = 827

Three numbers x, y, and z are in the ratio 2: 7: 8. if 12 is subtracted from y, then three numbers form a geometric sequence (in the order x, y–12, z). find x, y, and z. there are 2 sets.

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.