4 years ago

Simplify each product using the Distributive Property.

Mathematics

1 answer:

GarryVolchara [31]4 years ago

3 0

9. (y-3)(y+8) Combine like terms 2y+5

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A plane averaged 800 mph on a trip going east, but only 400 mph on the return trip. The total flying time in both directions wa

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1200 miles.

Step-by-step explanation:

Let d represent one way distance.

We have been given that a plane averaged 800 mph on a trip going east, but only 400 mph on the return trip.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

The time taken while going east would be $\frac{d}{800}$ .

The time taken while returning back would be $\frac{d}{400}$ .

Since the total flying time in both directions was 4.5 hr, so we will equate sum of both times with 4.5 as:

$\frac{d}{800}+\frac{d}{400}=4.5$

Make a common denominator:

$\frac{d}{800}+\frac{d*2}{400*2}=4.5$

$\frac{d}{800}+\frac{2d}{800}=4.5$

$\frac{d+2d}{800}=4.5$

$\frac{3d}{800}=4.5$

$\frac{3d}{800}\times \frac{800}{3}=4.5\times \frac{800}{3}$

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$d=1200$

Therefore, the one-way distance was 1200 miles.

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