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zhenek [66]
2 years ago
12

You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and y

our retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills.

Mathematics
1 answer:
kotykmax [81]2 years ago
6 0

Answer:

c + r \leq 10

7.5c + 10r \geq 56

Step-by-step explanation:

Given

Hours = not more than 10

Earnings = At least 56

Required

Represent this as a system of inequalities

Let c represents the cleaning job

Let r represents the retail job

The number of hours

Not more than means \leq 10

So:

c + r \leq 10

Earnings

c = 7.50 per hour

r = 10 per hour

Earnings = At least 56

At least 56 means \geq 56

So;

7.5c + 10r \geq 56

Hence, the system is:

c + r \leq 10

7.5c + 10r \geq 56

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