Lydia is working at a supermarket. Her weekly pay is modeled by the piecewise function S(h) = (8,0 12h -160, h > 40 where S represents her
salary, in dollars, and h represents the number of hours worked per week.
a. Lydia worked 36 hours through Friday. Deborah asked her to cover her shift on Saturday, which was nine hours long. How much more
money will Lydia earn by working 45 hours for the week, rather than 36 hours?
b. Lydia needs to earn $500 next week in order to pay her rent. How many hours would she have to work in order to earn $500?

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.

c

step-by-step explanation:

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches