15 more than twice the hours carla worked last week is the same as three times the hours she worked this week decreased by 15. she worked the same number of hours each week. how many hours did she work each week?

30 hours

Step-by-step explanation:

Let the number of hours Carla worked be denoted with "x"

Firstly,

15 MORE THAN twice the hours, would be written as:

2x + 15

This is equal to

3 times hours Decreased by 15, would be written as:

3x - 15

Now we equate both and find x:

2x + 15 = 3x - 15

15 + 15 = 3x - 2x

30 = x

So, x = 30

Which means, the number of hours she worked each week is 30 hours

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

12

step-by-step explanation: