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3 years ago

12

You have 5 pairs of pants, 8 shirts, and 3 ties - how many different outfits can you make?

1 answer:

SVEN [57.7K]3 years ago

6 0

First they have to decide on a pair of pants and they have 8 different choices. For each of those choices they have a choice of 5 different shirts, so that gives them 8 times 5 = 40 different pant/shirt combinations. For each those 40 possibilities, they have 3 different ties they could select, so altogether they have 40 times 3 = 120 different outfits.

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Step-by-step explanation:

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Ok if you look at the figure, it is a vertical angle. This means that the angle opposite to each other is congruent.

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We will use distance formula which states:

$d=r \times t$

where 'd' is the distance, 'r' is rate or speed and 't' is time taken.

So, $t=\frac{d}{r}$

Let 'u' be the speed of boat in still water.

A person rows 14 miles downstream to the fishing spot.

So, the speed of boat downstream = (u+6) mph

Time taken by boat to go downstream = $\frac{14}{u+6}$ hr

He rows 2 miles upstream from the fishing spot.

So, the speed of boat upstream = (u-6) mph

Time taken by boat to go upstream = $\frac{2}{u-6}$ hr

Since, The person took same amount of time in going downstream and then going upstream.

So, $\frac{14}{u+6}=\frac{2}{u-6}$

Cross multiplying, we get

$14 (u-6)= 2(u+6)$

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$12u = 96$

u = 8

So, speed of boat in still water is 8mph.

Now, Time taken in going downstream = $\frac{14}{u+6}$

= $\frac{14}{8+6}$

= 1 hr

Now, Time taken in going upstream = $\frac{2}{u-6}$

= $\frac{2}{8-6}$

= 1 hr

So, total time taken to cover 16 miles is 2 hours.

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Step-by-step explanation:

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