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Andrej [43]
3 years ago
7

A plane requires 3300 gallons of fuel and 75 minutes to make a round trip to Prague, and it takes 5700 gallons of fuel and 130 m

inutes to make a round trip to Stockholm. A pilot is asked to use at least 94500 gallons of fuel and spend at least 2400 minutes to make round trips to Prague and Stockholm in his plane. Let P denote the number of round trips to Prague and S the number of round trips to Stockholm. Write an inequality that represents the condition based on the number of gallons of fuel. Write an inequality that represents the condition based on the number of minutes.
Mathematics
2 answers:
xxMikexx [17]3 years ago
6 0

Answer: The inequality that represents the condition based on the number of gallons of fuel will be:

3300P +5700S \geq94500

The inequality that represents the condition based on the number of minutes will be:

75P +130S\geq2400

Step-by-step explanation:

Let  P denote the number of round trips to Prague and S the number of round trips to Stockholm.

Since the plane requires 3300 gallons of fuel and 75 minutes to make a round trip to Prague and 5700 gallons of fuel and 130 minutes to make a round trip to Stockholm.

Then the inequality that represents the condition based on the number of gallons of fuel will be:

3300P +5700S \geq94500

The inequality that represents the condition based on the number of minutes will be:

75P +130S\geq2400

PIT_PIT [208]3 years ago
5 0
Fuel constraint:
.. 3300P +5700S ≥ 94500

Time constraint:
.. 75P +130S ≥ 2400
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Xelga [282]

Answer:

t=0 or t=44

Step-by-step explanation:

There are a few methods to do this, the most obvious being the use of the quadratic formula.

However, a quick check with a calculator or even your mind will reveal that 704 is divisible by 16. Thus we can solve this through factoring.

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Using the zero factor principle:

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And thus we get the solution.

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Step-by-step explanation:


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Step-by-step explanation:

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vfiekz [6]
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6 0
3 years ago
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Hope this will help...

5 0
3 years ago
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