Awoman works out by running and swimming. when she runs, she burns 7 calories per minute. when she swims, she burns 8 calories per minute. she wants to burn at least 336 calories in her workout. write an inequality that describes the situation. let x represent the number of minutes running and y the number of minutes swimming. because x and y must be positive, limit the boarders to quadrant i only

What is the nth term rule of the linear sequence below? 27 , 25 , 23 , 21 , 19 , . .

Solve by any method (graphing, substitution or linear combination)y = x - 82x + 3y = 1a) (2, -6)b) (5, -3)c) (4, -4)d) (0, -8)i figured it out. the answer is (5, -3)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?