Joanne works two jobs to pay for college. she tutors for $25 per hour and also works as a receptionist for $12 per hour. due to her class and study schedule, joanne is only able to work up to 25 hours per week, but must earn at least $200 per week. if t represents the number of hours joanne tutors and r represents the number of hours she works as a receptionist, which system of inequalities represents this scenario?

a. t + r > = 25
25t + 12r = 200

b. t + r < = 25
25t + 12r < = 200

c. t + r < = 25
25t + 12r > = 200

d. none of the systems shown represent this scenario.

C.

Step-by-step explanation:

If 't' represents the number of hours Joanne tutors and 'r' represents the number of hours she works as a receptionist.

Then the total hours she can work=t+r

Since she can work up to 25 hours.

Thus

If she earns $25 per hour by tuition and $ 12 per hour by working as a receptionist .

Then her total earning =$

Since she must earn $200.

Then .

Therefore, the required system of inequality will be

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

answer: get jesus in your life

step-by-step explanation: