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Snezhnost [94]
3 years ago
10

The league championship 800 meter race has 6 runners.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer: 120

Step-by-step explanation:

Given : The league championship 800 meter race has 6 runners.

The number of positions = 3

Since order matters here , so we use Permutation.

The permutation of n things taking r at a time is given by :-

^nP_r=\dfrac{n!}{(n-r)!}

Then, the number of different ways they place first, second, and third :_

^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6\times5\times4\times3!}{3!}=120

Hence, they can place first, second, and third in 120 different ways .

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By adding 3 then subtracting 2, you're pretty much just adding 1.

Starting from 7;

7, 8, 9, 10, 11, 12, etc.

I hope that helps!
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2 years ago
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Solve the following system of equations by graphing. 3x - 2y = -6 - 3x - y = -12​
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Answer:

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3 years ago
Which expression can be used to determine the length of segment ZY? See image.
mixer [17]

Answer:

\sqrt{8^{2} + 3^{2} }

Step-by-step explanation:

We see that this is a rectangle triangle, and that the ZY side is the hypotenuse.

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So, in this case:

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An appliance repair shop charges $80 for the first hour of labor and $65 for each additional hour. The total labor charge for an
VikaD [51]

Answer:

C. 80+65x=665

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Step-by-step explanation:

The first hour is $80, no matter what. That is the first part of your equation.

x = the number of hours minus 1.

It would be -1 because it is $65 per ADDITIONAL hours, after the first hour.

So that would be 65x, because you don't know the number of hours it took (yet), but you know that it would be $65 per extra hour.

So you have your equation: 80+65x=665

1. Get rid of subtraction/addition.

You want to get rid of the number from both sides. It's subtracting 80 and not adding 80 because the 80 is positive, and you want to cancel out that 80.

80+65x=665

-80           -80

You are left with 65x=585

2. Get rid of multiplying/dividing.

Here, we want to get the variable by itself, so we will have to divide the 65x by 65. You want to do the opposite operation to cancel the 65 out.

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You are left with x = 9

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3 years ago
What is 1.12 divided by 8.2
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The answer would be 0.13658537...
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