1a)
use modular arithmetic and congruence to find the last digit of 4362^4362.
1b)
find all solutions to the following linear congruences. justify how many solutions exist.
(a) 2x ≅ 7 (mod 15)
(b) 3x ≅ 6 (mod 15)
(c) 5x ≅1 (mod 15)

Solve x+3y=6 and 4x-6y=6 by elimination . show work !

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?

Find solution of the linear equation y = 2/3x + 1/3