Gary earns $12 an hour plus $16 an hour for every hour of overtime. overtime hours are any hours more than 30 hours for the week. part a: create an equation that shows the amount of money earned, m, for working x hours in a week when there is no overtime. (3 points) part b: create an equation that shows the amount of wages earned, t, for working y hours of overtime. hint: remember to include in the equation the amount earned from working 30 hours. (3 points) part c: gary earned $408 in 1 week. how many hours (regular plus overtime) did he work? show your work. (4 points)

Part A.

Amount of money earned = Regular rate per hour * Number of working hours

M = 12 x

Part B.

Amount of wages earned = Regular rate per hour * Maximum number of regular working hours + Overtime rate per hour * Excess working hours

T = 12 * 30 + 16 * y

T = 360 + 16 y

or

T = 16 y + 360

Part C.

Given T = 408, find y:

408 = 16 y + 360

y = 3 hrs

Therefore the total hours Gary worked that week is,

x + y = 30 + 3 = 33 hrs        

(x = 30 since that is the maximum limit for regular working hours)

b. x + 1

step-by-step explanation:

i'am smart

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c