Kate has a summer job as a swim instructor to earn her college tuition. she gets paid $8 an hour for the first 40 hours and $12 per hour for each hour in the week worked over 40 hours. kates goal is to earn at least $380 per week. how many hours of overtime per week will she need to achieve her goa. show all work

Alright here's the breakdown
take ($8) and (40hr.) and multiply them (8 x 40)
which should equal 
$320 
but that's not enough
so
we need to add some hours
so 
take the numbers like this ($380-$320)
which should equal
$60
now
take ($60) and divide it by the overtime pay ($12 per hr.) 
which equals
the number of overtime hours needed to achieve her goal
which is
(5 hr.) 
which is your answer
hope this helps!

 

31 is prime. and it’s prime factorization is just 31.