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o-na [289]
3 years ago
15

100 people are running a marathon. How many different ways can the runners finish 1st, 2nd, and 3rd place?

Mathematics
1 answer:
andrew11 [14]3 years ago
3 0

Answer:

970,200

Step-by-step explanation:

In a 100 man race, how many runners have the chance to finish first?

Answer 100.

Now that 1 person is first, how many runners could be second? Well, there are still 99 runners left, and any one of them could be second.

Answer 99.

How many can be third? Using the same idea as above, once one person is first and another is second, that leaves 98 people still running and trying for third. So how many can be in third?

Answer 98.

Now you need to do the math.

100 × 99 × 98 = 970,200

So there are 970,200 different ways.

Hope this helps!! Brainliest :) ?

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B is the answer you are looking for.
7 0
3 years ago
Arc AB is One-sixth of the circumference of a circle. What is the radian measure of the central angle?
lawyer [7]

Answer:

1/3 π

Step-by-step explanation:

θ (radian measure of central angle) = s (length of subtend arc) / r (radius)

θ = (1/6 x 2πr) / r = 1/3 πr / r = 1/3 π

5 0
3 years ago
Sally's parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6%
77julia77 [94]

Answer:

their hopes will come true

Step-by-step explanation:

Using the formula for calculating amount expressed as;

A = P(1+r)^t

Given

P = $15000

r = 9.6% = 0.096

t = 15years (18-3)

Substitute;

A = 15,000(1+0.096)^15

A = 15,000(1.096)^15

A = 15000(3.9551)

A = 59,326.6

As we can see, the money is even more than twice the original amount, this shows that their hopes will come true

6 0
3 years ago
70 POINTS!! AND BRAINLIEST HELPPPPP!!!
DerKrebs [107]

Answer:

  1. 3000 girls
  2. 38 fishes
  3. 37 points
  4. 115 marbles
  5. 19 gray coloured cars

Step-by-step explanation:

Let the unknown values be x

1.

30 class mates = 1 class room

18 girls in 1 classroom

18 girls in 30 classmates

x girls in 5000 class mates

18\:girls= 30\:students\\x\:girls = 5000\:students\\\\Cross\:Multiply\\\\30x = 90000\\\\Divide\:both\:sides\:by\:30\\\frac{30x}{30} = \frac{90000}{30}\\ \\x = 3000\\= 3000 girls

2.

2.5\:miles = 12 \:fishes\\8\:miles = x\:fishes\\\\Cross\:Multiply\\2.5x = 96\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2.5\\\\\frac{2.5x}{2.5}=\frac{96}{2.5}\\  \\x = 38.4\\Approximately \: =38\:fishes

3.

8\:minutes = 14\: points\\21 \:minutes = x \:points\\\\Cross\:Multiply\\8x = 294\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{294}{8}\\\\Simplify\\x=\frac{147}{4}\\\\x = 36.75\\\\Approximately\:= 37\:points

4.

32\:marbles = 5\:inches\\x\:marbles = 18\:inches\\\\Cross\:Multiply\\5x = 576\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{576}{5}\\\\x=\frac{576}{5}\\\\x =115.2\\= 115=\:marbles

5.

2 \: gray\:colour= 15\:cars\\x\:gray= 140\:cars\\\\Cross\:Multiply\\\\15x = 280\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{280}{15}\\\\Simplify\\x=\frac{56}{3}\\\\x =18.666\\Approximately ;\\19

6 0
4 years ago
Read 2 more answers
3. Your test scores in science are 83 and 87. What
Liula [17]

Answer:

Between 85 and 100

Step-by-step explanation:

Getting this will get the average between the required numbers since the average of 83 and 87 is 85, getting 85 will keep the answer at 85 and getting 100 will get the average at 90.

4 0
3 years ago
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