Harry has a small business cleaning kitchens and bathrooms. he usually cleans a bathroom in 1 hour and cleans a kitchen in 45 minutes. he never works more than 15 hours in a week. harry earns $60 per bathroom and $20 per kitchen job. he does not do more than 8 bathroom jobs per week (the smell gets to him). find a combination of bathroom and kitchen jobs per week that will maximize his income and state the amount.

8 bathroom jobs and 9 kitchen jobs

Step-by-step explanation:

B=60

K=20

8*60=480

9*20=180

that would give harry 660 dollars in a week. HOWEVER- we have to make sure that its equal to or less than 15 hours of work.

8*1h= 8 hours in bathroom

9*45m=6.75hr in kitchen

8 hours+6.75 hours=14.75hr 14.75 hr<15hr so it works.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

squares, rhombus, rectangles