Fred and sara work as part-time employees for a lawyer. last week fred worked 4 hours more than twice the number of hours sara worked. together they worked a total of 37 hours. what was the total number of hours that fred worked last week?

Fred worked for 26 hours last week

Step-by-step explanation:

Fred and Sara work as part-time employees for a lawyer.

Let x represent the total number of hours that Fred worked last week.

Let y represent the total number of hours that Sara worked last week.

Last week Fred worked 4 hours more than twice the number of hours Sara worked. This means that

x = 2y + 4

Together they worked a total of 37 hours. It means that

x + y = 37 - - - - - --- -1

Substituting x = 2y + 4 into equation 1, it becomes

2y + 4 + y = 37

2y + y = 37 - 4

3y = 33

y = 33/3 = 11

x = 37 - y

x = 37 - 11 = 26

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !