Answer:
Allison worked 6 hours lifeguarding and 3 hours washing cars.
Step-by-step explanation:
Let
Number of hours Allison worked lifeguarding last week = x
Number of hours Allison worked washing cars last week = y
1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then

<u>Lifeguarding:</u>
$12 per hour
$12x in x hours.
<u>Washing cars:</u>
$8 pere hour
$8y in y hours.
2. Allison earned a total of $96, hence

You get the system of two equations:

Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.
-3x-12> 8x + 21
+12 +12
-3x > 8x + 33
-8x -8x
-11x > 33
————-
-11
x < -3
I moved the real numbers to one side and and the variable to the other side to solve for the inequality
I also remembered somewhere that if you divide by a negative number the inequality sign switches.
Answer:
B.) 83.7758
Step-by-step explanation:
Answer:
2. x = 11
3. x = 19
4. x = 23
5. x = 6
6. x = 10
Step-by-step explanation:
2. x + 12 =23
x = 23 - 12
x = 11
3. x - 6 = 13
x = 13 + 6
x = 19
4. x - 9 = 14
x = 14 + 9
x = 23
5. 2x = 12
x = 12/2
x = 6
6. 3x = 30
x = 30/3
x = 10
Hey you should copy this and paste it into history.. this is the math section (meaning people trying to answer are less likely to be able to help cus they're here to answer math