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Sidana [21]
3 years ago
13

An airplane left Miami, FL. At the same time another plane left Santiago, Chile. The two planes flew toward each other at rates

of 625 mph and 575 mph. If Miami and Santiago are 4200 miles apart, how long will it take until the planes pass each other?
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0
Since we know that LCM of both 625&575 is 14375, we must find the hours it took for both planes to arrive at this same destination.

Plane 1(625): Took 23 hours to arrive.

Plane 2(575): Took 25 hours to arrive.

Therefore, the answer should be from 23-25 hours to arrive or if looking for middle number, 24 hours exactly.

Hope this helps.
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Volume of a cube is 343 cm cube . find the edge​
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A bag of gumballs contains 2 pink, 3 orange, 4 blue, 2 red, and 1 yellow
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1/4

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8 0
2 years ago
The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
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