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denpristay [2]
4 years ago
9

The league championship 800 meter race has 9 runners. In how many different ways they place first, second and third?

Mathematics
1 answer:
uysha [10]4 years ago
3 0

Answer:

504 different ways

Step-by-step explanation:

There are 9 people competing

9 Different people can come in 1st

We have a winner

Now there are only 8 people left to come in second

8 different people can come in 2nd

There is 1 second place winner

Now there are only 7 people left to come in second

7 different people can come in 3rd

9*8*7 =504

There are 504 different ways

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I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would
frozen [14]

Answer:

96π

Step-by-step explanation:

You will need the formula for the volume of a cone.

V=\frac{1}{3}πr^{2}h

r= 6 cm

To find the height, you need to use the Pythagorean theorem.

a²+ b² = c² (a and b are the 2 legs and c is the hypotenuse)

b = \sqrt{{c^{2}-a^{2} }

b= \sqrt{10^{2}-6^{2}  } = 8

h= 8 cm

remember PEMDAS!

V=\frac{1}{3}π(6)^{2}8

V=\frac{1}{3}π(36)8

V= π(12)8

V= 96π

Answering in terms of π is more accurate because it is actually infinite so when it gets rounded to 3.14, that is only an approximation of pi. (π is actually 3.1415926535897932384626433 etc.)

4 0
3 years ago
440 callories in 4 servings; 300 serving in 3 servings
monitta
110 calories in the first one for ONE serving.

100 calories in the second one for ONE serving.

Hope this helps!
STSN
6 0
4 years ago
a bag contains 10 orange marbles 2 yellow marbles 5 purple marbles and 5 green marbles which color marble are you most likely to
Doss [256]

Answer:

I believe it's the 10 orange marbles.

Step-by-step explanation:

Their is a 45% chance that the orange marbles will be picked.

So, you add all them up (10 + 5 + 5 + 2)=22

10/22= 0.45%

Hope my answer has helped you!

3 0
3 years ago
Read 2 more answers
Solve the inequaility - x/4 <2
IrinaK [193]

❄ Hi there,

let us start by considering this: What should we do to get x all by itself?

Since it's

  • divided by 4
  • multiplied by -1

we should

  • multiply (both sides) by 4
  • divide (both sides) by -1

So, let's start.

\sf{\dfrac{-x}{4}\times4 < 2\times4}}

\sf{-x < -8}

\sf{x > 8}

When we divide both sides of an inequality by a negative number, we do "the inequality flip" and <em>flip the inequality sign</em>.

❄

8 0
2 years ago
What do I do to figure out this problem:<br>3x+8=26+x
Gnom [1K]
<span><u>3x + 8 = 26 + x</u>

The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it.    I'm not sure you're there yet.

The 'answer' or the 'solution' to the problem is a number.  It's the number
that 'x' must be in order for that line at the top to be a true statement.  There's
only one possibility.

To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too.  With that ability, here's how
to 'figure out the problem', and find the answer:

The original problem:      </span><span><u>3x + 8 = 26 + x</u>

Subtract 8 from each side:

3x = 18 + x

Subtract 'x' from each side:

2x = 18

Divide each side by 2 :

<u>x = 9 </u> .

That's what the answer looks like, and that's what the answer is.

' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.

I'll show you what I mean.  Let's take the original problem

                   </span><span> <u><span>3x + 8 = 26 + x

</span></u><span>and let's write ' 2 ' wherever we see 'x' :

3 (2) + 8 = 26 + 2

3 (2) means 3 times 2, and that's 6 .
So now we have

6 + 8 = 26 + 2

Do the addition on each side, and we have

14 = 28 .

That's nonsense.  14 is not equal to 28 .  The reason that happened
is because we put the wrong number in place of 'x' .  When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .
</span><u><span /></u>

</span>

7 0
3 years ago
Read 2 more answers
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