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3 years ago

There are 12 participants running in a 110m hurdles race. How many ways are there to award a gold, silver, and bronze medal?

Mathematics

1 answer:

prohojiy [21]3 years ago

8 0

Answer:

220 ways

Step-by-step explanation:

The order matters because there's going to be a first, second, and third place.

So, 12P3=12!/(12-3)!*3!=12!/9!*3!=12*11*10*9!/9!*3!=12*11*10/6=220

Therefore, 220 ways

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A plane flew 720 mi with a steady 30 mi/h tailwind. The pilot then returned to the starting point, flying against that same wind

NNADVOKAT [17]

Answer:

Plane's speed is 150 miles/hour

Step-by-step explanation:

Let the plane's airspeed be x

Speed of wind is 30 miles/hour

When a plane flew with the wind , Speed = (x+30)

So, the speed plain with wind on going = (x+30)

Since we are given that on returning plane fly against the wind .

So,When a plane flew against the wind , Speed = (x-30)

So, the speed plain against wind on returning = (x-30)

Distance = 720 miles .

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

So, time on going $=\frac{720}{(x+30)}$

Time on returning $=\frac{720}{(x-30)}$

Now we are given that the total time for the whole trip (going + returning) = 10 hours.

So, $\frac{720}{(x+30)}+\frac{720}{(x-30)}=10$

$\frac{720x-21600+720x+21600}{(x+30)(x-30)}=10$

$720x-21600+720x+21600=10(x+30)(x-30)$

$720x+720x=10(x+30)(x-30)$

$1440x=10(x^2 -[30]^2)$

$144x=x^2 -900$

$x^2-144x -900=0$

$x^2-150x+6x -900=0$

$x(x-150)+6(x -150)=0$

$(x-150)(x+6)=0$

$x= 150,x= -6$

So, the plane's speed is 150 miles/hour

4 0

3 years ago

The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that cos

horsena [70]

Answer:

0.0165

Step-by-step explanation:

You multiply 55 by .03%

8 0

4 years ago

Pls help me <br><br> Solve for x

Karo-lina-s [1.5K]

8x + 2 + 70 + 60 = 180
8x + 132 = 180
180 - 132 = 48
48/6 = 6
X = 6

8 0

3 years ago

Which best describes the complement of spinning any number less than 3?

tatuchka [14]

Answer:

<u>The complement of spinning any number less than 3, is spinning a number equal to or greater than 3.</u>

Explanation:

The complement of a subset is the subset of elements that are not in the given subset.

You must know which numbers the spinner has.

Assuming the spinner has the numbers 1, 2, 3, 4, the complement of spinning any number less than 3, is spinning a number that is not less than 3.

Then, that is spinning a number that is equal to or greater than 3.

The numbers that are equal to or greater than four, for a spinner that has the numbers 1, 2, 3, and 4 are 3 and 4.

Thus, the complement of spinning any number less than 3 is spinning a three or a four.

8 0

3 years ago

Hurry I need help ( -0.08(6.2)

Karolina [17]

= -0.496 hope this helps a little doing know if it’s right or not

8 0

3 years ago

Read 2 more answers