Barry is measuring the length of his pencils. The red pencil is 4.32 inches long, the blue pencil is 6.1 inches long, and the gr
1 answer:
Answer:
Step-by-step explanation:
<u>Given information</u>
Red pencil = 4.32 inches
Blue pencil = 6.1 inches
Green pencil = 2.27 inches
<u>Expression deducted from the question</u>
Total length = Red pencil + Blue pencil + Green pencil
<u>Substitute values into the expression</u>
Total length = (4.32) + (6.1) + (2.27)
<u>Simplify by addition</u>
Total length = 10.42 + 2.27
Total length = 12.69 inches
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⇒ 
is a improper fraction.
as a mixed number would be 4 
⇒10 x 4 = 40
⇒40 + 9 = 49
= 4
⇒ANSWER = 4
⇒10 x 4 = 40
⇒40 + 9 = 49
⇒ANSWER = 4
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.
