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NeTakaya
3 years ago
12

143 players per 11 teams.how many players are on each one

Mathematics
1 answer:
klio [65]3 years ago
6 0
143 players per 11 teams.
If you would like to know how many players are in each group, you can calculate this using the following step:

143 players / 11 teams = 143 / 11 = 13 players per group

Result: There are 13 players in each group.
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Miguel borrows $2000 for 3 years at 8% simple interest.
german
Interest+original=amount to pay off

intrest=prinicpal times rate times time
interest=2000 times 3 times 0.08
interest=480

so total is 2000+480 or 2480 to pay off
3 0
3 years ago
A cab company charges $2 per cab ride, plus an additional $0.90 per mile driven. Write an equation that shows the relationship b
Reil [10]

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▹ Answer

<em>$2 + $0.90x = </em>

▹ Step-by-Step Explanation

$2 represents the starting cost and, $0.90x represents the amount paid for each mile driven.

Hope this helps!

- CloutAnswers ❁

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8 0
3 years ago
Find the reduced row echelon form of the following matrices and then give the solution to the system that is represented by the
GaryK [48]

Answer:

a)

Reduced Row Echelon:

\left[\begin{array}{cccc}1&1/2&0&0\\0&1&7/4&0\\0&0&1&-4\end{array}\right]

Solution to the system:

x_3=-4\\x_2=-\frac{7}{4}x_3=7\\x_1=-\frac{1}{2}x_2=-\frac{7}{2}

b)

Reduced Row Echelon:

\left[\begin{array}{cccc}4&3&0&7\\0&0&2&-17\\0&0&2&-17\end{array}\right]

Solution to the system:  

x_3=-\frac{17}{2}\\x_1=\frac{7-3x_2}{4}

x_2 is a free variable, meaning that it has infinite possibilities and therefore the system has infinite number of solutions.

Step-by-step explanation:

To find the reduced row echelon form of the matrices, let's use the Gaussian-Jordan elimination process, which consists of taking the matrix and performing a series of row operations. For notation, R_i will be the transformed column, and r_i the unchanged one.

a) \left[\begin{array}{cccc}0&4&7&0\\2&1&0&0\\0&3&1&-4\end{array}\right]

Step by step operations:

1. Reorder the rows, interchange Row 1 with Row 2, then apply the next operations on the new rows:

R_1=\frac{1}{2}r_1\\R_2=\frac{1}{4}r_2

Resulting matrix:

\left[\begin{array}{cccc}1&1/2&0&0\\0&1&7/4&0\\0&3&1&-4\end{array}\right]

2. Set the first row to 1

R_3=-3r_2+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&1/2&0&0\\0&1&7/4&0\\0&0&1&-4\end{array}\right]

3. Write the system of equations:

x_1+\frac{1}{2}x_2=0\\x_2+\frac{7}{4}x_3=0\\x_3=-4

Now you have the  reduced row echelon matrix and can solve the equations, bottom to top, x_1 is column 1, x_2 column 2 and x_3 column 3:

x_3=-4\\x_2=-\frac{7}{4}x_3=7\\x_1=-\frac{1}{2}x_2=-\frac{7}{2}

b)

\left[\begin{array}{cccc}4&3&0&7\\8&6&2&-3\\4&3&2&-10\end{array}\right]

1. R_2=-2r_1+r_2\\R_3=-r_1+r_3

Resulting matrix:

\left[\begin{array}{cccc}4&3&0&7\\0&0&2&-17\\0&0&2&-17\end{array}\right]

2. Write the system of equations:

4x_1+3x_2=7\\2x_3=-17

Now you have the reduced row echelon matrix and can solve the equations, bottom to top, x_1 is column 1, x_2 column 2 and x_3 column 3:

x_3=-\frac{17}{2}\\x_1=\frac{7-3x_2}{4}

x_2 is a free variable, meaning that it has infinite possibilities and therefore the system has infinite number of solutions.

7 0
3 years ago
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F. Which statement describes the temperature?
wlad13 [49]

Answer:

At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0

Step-by-step explanation:

At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F.

We can say that −3.6 lie on the LHS of a number line while 43.7 lie on RHS of the number line and 0 at the mid.

43.7°F is above 0 and 3.6°F is below 0.

At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0 . Hence, the correct option is (d).

5 0
3 years ago
Read 2 more answers
During dance practice, Sasha drank 2 1/2 pints of water, and on the way home she drank 1/2 cup of water. How much did she drank
Anarel [89]

Answer: 5 cups 4 ounces

Step-by-step path to answer:

Pints to cups:

1 pint= 2 cups

2 pints= 4 cups

0.5 pints=1 cup

2.5 pints= 5 cups

Cups to ounces:

1 cup= 8 ounces

0.5(1/2) cups= 4 ounces

All together:

2.5pints + 0.5cups = 5cups 4ounces

3 0
3 years ago
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