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Nikolay [14]
3 years ago
10

At a competition with 5 runners, medals are awarded for first, second, and

Mathematics
2 answers:
dlinn [17]3 years ago
7 0

Answer:

B: Permutation;  Number of ways are 60

Step-by-step explanation:

At a competition with 5 runners, medals are awarded for first, second, and third places.

Each of the 3 medals is different.

This is a case of Permutation and the Number of ways are 60.

We have to award 3 medals among 5 runners.

This can be done in 5P3 ways.

= \frac{5!}{(5-3)!}

= \frac{5\times4\times3\times2\times1}{2\times1}

= 5\times4\times3=60

Therefore, the answer is option A.

Tpy6a [65]3 years ago
4 0

Answer:

a

Step-by-step explanation:

thanks

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<em><u>Solution:</u></em>

Given that area of mirror is 225 square inches

width = 13\frac{3}{4} \text{ inches }

Converting the above mixed fraction we get,

width = 13\frac{3}{4} = \frac{13 \times 4 + 3}{4} = \frac{55}{4} \text{ inches }

Let us find the length of mirror

The area of mirror is given as:

area of mirror = length x width

Substituting the given values,

225 = length \times \frac{55}{4}\\\\length = 225 \times \frac{4}{55}\\\\length = 225 \times 0.0727\\\\length = 16.36

Thus length of mirror is 16.36 inches

<em><u>Will the mirror fit in a space that is 15 inches by 16 inches?</u></em>

NO. The mirror will not fit in a space that is 15 inches by 16 inches

Because length of mirror is 16.36 inches whereas the given space is 15 inches long

16.36 > 15 so the length of mirror will not fit inside the space

Also width of mirror is \frac{55}{4} = 13.75 inches which is less than the given space whose width is 16 inches

13.75 < 16 so the width of mirror will not fit inside the space

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3 years ago
Te dog’s nap started at 7:14am and ended<br> at 7:57am. How long was the dog’s nap?
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Answer:

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Step-by-step explanation:

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nika2105 [10]

Answer:

$41,875

<u>Extra</u>

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b. $366,000 [$780,000 – ($17,250 × 24 yrs.)]

c. $29,600 [($366,000 – $70,000) ÷ 10 yrs.]

Step-by-step explanation:

Step 1: Determine the cost of the asset

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