Zoe is working two summer jobs, making $7 per hour babysitting and making $15 per hour clearing tables. In a given week, she can work a maximum of 14 total hours and must earn at least $130. If Zoe worked 4 hours babysitting, determine all possible values for the number of whole hours clearing tables that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

9 hours

Step-by-step

$7x4=$28

$130-$28=$102

$102 divided by 14=8.57/ 8 hours and 57 minutes

8 hours 57 minutes rounded =9 hours  

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."