Answer:
Step-by-step explanation:
Big circle:
R = radius = diameter ÷2 = 42 ÷ 2 = 21 cm
Area of big circle= πR²

Small circle:
Diameter of small circle = radius of big circle = 21 cm
r = 21/2 = 10.5 cm
Area of small circle = πr²

Area of shaded region = area of big circle - area of small circle
= 1386 - 346.5
= 1039.5 cm²
Answer:
Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.
Step-by-step explanation:
Since either job takes 2 hours to complete, the total number of jobs that Kevin can complete working 54 hours a week is:

Since replacing shocks gives him a greater income, he should aim to do as little break replacements as possible and as many shock replacements as possible in order to maximize income.
If he has to complete at least 6 break replacements out of the 27 jobs possible, the number of shock replacements he should do is:

Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.
Answer:
75 minutes
Step-by-step explanation:
First cook 40 and 45 min dishes on separate burners. Then after 40 min put 35 min dish to be cooked on that burner. This will take 75 minutes time.
On second burner put firstly 15 min and then 10 min dish or vice versa as it doesn't matter. This second burner will take 70 minutes which is less then first one.
The false inequality is D
because -8 is smaller than -1 .
It took 50 hours to produce 3 oz of honey.
<u>Step-by-step explanation:</u>
Rate of production= 1.5% per hour
Initial amount of honey = 4 oz
Final amount of honey = 7 oz
Honey produced = 3 oz
Amount produced = (initial amount x rate x time) /100
3 = (4 x 1.5 x t) /100
300 = 6t
t = 300/6
t = 50 hours
It took 50 hours for the bees to produce 3 oz of honey.