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denpristay [2]
3 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]3 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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Marta_Voda [28]

Answer:

Step-by-step explanation:

Option A is the correct answer

Because the further process is correct

3 0
3 years ago
What is the greatest common factor of 30 and 50
siniylev [52]

Hi,

The greatest common factor of 30 and 50 is 10.

Have a great day!


5 0
3 years ago
Marissa bought 2 and a half gallons of orange juice to make punch how many quarts of orange juice did. Marissa buy
Nookie1986 [14]
The answer is as follows:
There are 2 pints in a quart. 
There are 2 quarts in a half gallon.
There are 2 half gallons in a gallon.
Therefore, we can conclude that there are 10 quarts of orange juice.
7 0
3 years ago
What is the row echelon form of this matrix?
USPshnik [31]

The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0
1 year ago
Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
Hoochie [10]

Answer:

The system of equations has one solution. The two equations are intersecting lines.

Step-by-step explanation:

if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.

2(12x+2)=x+4

next, you have to distribute

24x+4=x+4

subtract 24x from each side

4=-23x+4

subtract 4 from each side

0=23x

divide each side by 23

x=0

now, plug in 0 to one equation.

y=12(0)+2

y=2

the lines intersect at one point, (0,2)

7 0
2 years ago
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