HURRICANES A category 3 hurricane reaches speeds up to 20.88 kilometers per hour. The distance from Cuba to Key West is 145 kilo
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<em>Question Continuation:</em>
<em>Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce. </em>
<em>Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.</em>
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Answer:
Step-by-step explanation:
Given
Weight of Tomato = 3 lb
Used Proportion = 5/8
Required
Determine the portion used
To solve this we simply multiply the used proportion by the weight of the tomato bought
Represent the used portion with y.
So:
Answer:
P is exactly 3km east from the oil refinery.
Step-by-step explanation:
Let's d be the distance in km from the oil refinery to point P. So the horizontal distance from P to the storage is 3 - d and the vertical distance is 2. Hence the diagonal distance is:
So the cost of laying pipe under water with this distance is
And the cost of laying pipe over land from the refinery to point P is 400000d. Hence the total cost:
We can find the minimum value of this by taking the 1st derivative and set it to 0
We can move the first term over to the right hand side and divide both sides by 400000
From here we can square up both sides
d = 3
So the cost of pipeline is minimum when P is exactly 3km east from the oil refinery.