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Natasha2012 [34]
3 years ago
12

The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which ine

quality can be used to determine how many more people can board?
Mathematics
2 answers:
Sedbober [7]3 years ago
7 0

Answer:

no more than 53

Step-by-step explanation:

Ivenika [448]3 years ago
3 0
For this case, the first thing you should do is define a variable.
 We have then:
 x: number of passengers remaining who can board the plane.
 We have as data:
 1) They can board up to 149 passengers
 2) There are 96 passengers currently aboard.
 Writing inequality we have:
 x + 96  \leq  149

 Answer:
 
An inequality that can be used to determine how many more people can board is:
 
x + 96  \leq  149
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solniwko [45]
If Pipe 1 (P1) takes x hours to fill the pool, Pipe 2 (P1) and pipe 2 (P2) takes (x-9) hours to fill the pool, and pipe 2 (P2) takes (x+7) hours to fill the pool.

That is,
P1 = x hrs
P1+P2 = (x-9) hrs
P3 = (x+7) hrs

In 1 hour, P1 fills 1/x of the pool, P1+P2 fills 1/(x-9) of the pool and P2 fills 1/(1+7) of the pool.
Therefore,
1/x+1/(1+7) = 1/(x-9) => ((x+7)+x)/(x)(x+7)=1/(x-9) => (2x+7)/x^2+7x = 1/(x-9) => (2x+7)(x-9)=x^2+7x => x^2-18x-63 =0 
Solving for x
x= (-b+/- sqrt (b^2-4ac)/2a, where a=1, b=18, and c=63
Substituting;
x1=21 and x2=-3 (the  negative x is ignored as it does not make sense).
Therefore, x = 21
This means,
P1 takes 21 hours to fill the pool
P1+P2 takes (21-9) hours = 12 hours to fill the pool while P3 takes (21+7) hours = 28 hours
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Hope this helps :)

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P.P.S Hope you have a great day!

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