Your class has 18 students. Exactly 2/3 of them say that, out of all their subjects, they like science the most. Which model sho
ws 2/3 of 18 circled?
2 answers:
Answer:
The sample model is shown below:
Step-by-step explanation:
Consider the provided information.
Your class has 18 students. Exactly 2/3 of them say that, out of all their subjects, they like science the most.
First calculate 2/3 of 18.
Hence 12 students like science the most.
We can draw a model having 18 things out of which 12 are circled.
Note: A model consist various things but remember there will be 12 things under the circle.
The sample model is shown below:
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Answer:
20 minutes should spend on walking and 30 minutes on running.
Step-by-step explanation:
Let x represents the minutes spent on walking and y represents the minutes spent on running,
∵ He burns 4 cal/min walking and 10 cal/min running,
So, the total calories burnt,
Z = 4x + 10y
Which has to be maximised.
Now, he walks between 10 and 20 min each day,
i.e. 10 < x < 20,
Also, he runs between 30 and 45 min each day,
i.e. 30 < y < 45,
By graphing 10 < x < 20 and 30 < y < 45,
We obtained the vertices of feasible region,
(10, 45), (20, 45), (10, 30) and (20, 30)
At (10, 45),
Z = 4(10) + 10(45) = 40 + 450 = 490,
At (20, 45),
Z = 4(20) + 10(45) = 80 + 450 = 530,
At (10, 30),
Z = 4(10) + 10(30) = 40 + 300 = 340,
At (20, 30)
Z = 4(20) + 10(30) = 80 + 300 = 380
Hence, maximum calories is 530 when 20 minutes spent on walking and 30 minutes spent on running.
