Answer:
x≥
Step-by-step explanation:
given 1.5x+3.75≥5.5
→ 1.5x≥5.5-3.75
→ 1.5x≥1.75
→ x≥
→ x≥
[(23 × 2.5) , 1/2] + 120
1 answer:
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The square's diagonal is the triangle's hypotenuse.
The Pythagorean theorem is =
Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.
As the side is given 12 inches, so this becomes
inches
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.
