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Ymorist [56]
3 years ago
15

An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3094 feet and Plane B is just taking of

f. Plane A is gaining altitude at 20.25 feet per second and Plane B is gaining altitude at 75.5 feet per second.
How many seconds will pass before the planes are at the same altitude?

What will their altitude be when theyre at the same altitude?
Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0
Sorry idk this but at least I said hi
Andreyy893 years ago
3 0
So, plane A is at 3094 and gaining altitude at 20.25 fps, thus every passing second "s", it gains that much.  Now, it starts at 3094, and thus the 20.25 is adding up to it, therefore, after 1s is at 3094 + 20.25(1), after 2s is at 3094 + 20.25(2), after 3s is at 3094 + 20.25(3), after "s" seconds is at 3094 + 20.25(s) or 3094 + 20.25s.

likewise, the plane B is just taking off, so it has altitude of 0, and gaining at 75.5 per second, so, after 1s is at 0 + 75.5(1), after 2s is at 0 + 75.5(2), after 3s is at 0 + 75.5(3) and after "s" seconds is at 0 + 75.5(2) or 75.5s.


when both are the same altitude, it means their altitude is the same, and how long is that anyway?

\bf \stackrel{\textit{plane A}}{3094+20.25s}=\stackrel{\textit{plane B}}{75.5s}\implies 3094=75.5-20.25\\\\\\ 3094=55.25s\implies
\cfrac{3094}{55.25}=s\implies 56=s

what's their altitude at that time anyway?   \bf \begin{cases}
\stackrel{\textit{plane A}}{3094+20.25(56)}\\\\
\stackrel{\textit{plane B}}{75.5(56)}
\end{cases}
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when the wimen sells 90 oranges Rs160 with dicount of 20%,how many oranges she sell by Rs112 with profit of 20%​
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She sold 42 oranges with profit 20%

Step-by-step explanation:

The woman sells 90 oranges by RS.160

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  • Selling price = cost price - discount ⇒ discount case
  • Selling price = cost price + profit ⇒ profit case

Assume that cost price of an orange is x

∵ She sells 90 oranges with Rs.160

- Find the selling price of 1 orange by dividing 160 by 90

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∵ She sold them with discount 20%

∵ The cost price of an orange is x

- Find the 20% of x

∵ Discount = 20% × x = \frac{20}{100} × x = 0.2x

- To find the selling price subtract 0.2x from x

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- Divide both sides by 0.8

∴ x = \frac{20}{9}

Assume that the number of oranges is y

∵ She sell y oranges for Rs.112 with profit 20%

∵ The cost price of an orange is \frac{20}{9}

- Find 20% of \frac{20}{9}

∵ Profit = 20% × \frac{20}{9} = \frac{20}{100}.\frac{20}{9}=\frac{4}{9}

- Add \frac{4}{9} to cost price to find the selling price

∴ The selling price of an orange = \frac{20}{9} + \frac{4}{9}

∴ The selling price of an orange = \frac{24}{9}

- To find y divide 112 by selling price of an orange

∵ y = 112 ÷ \frac{24}{9}

∴ y = 42

She sold 42 oranges with profit 20%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

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