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3 years ago

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a game room floor that is 120 feet by 75 feet. a scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. what ar

e the dimensions of the scale drawing?

1 answer:

lubasha [3.4K]3 years ago

5 0

24 feet by 15 feet

You divide each nukber by 5 bevause that is the given scale factor.

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Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTI

cricket20 [7]

Answer:

The system has infinitely many solutions

$\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}$

Step-by-step explanation:

Gauss–Jordan elimination is a method of solving a linear system of equations. This is done by transforming the system's augmented matrix into reduced row-echelon form by means of row operations.

An Augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

There are three elementary matrix row operations:

Switch any two rows
Multiply a row by a nonzero constant
Add one row to another

To solve the following system

$\begin{array}{ccccc}x_1&-3x_2&-2x_3&=&0\\-x_1&2x_2&x_3&=&0\\2x_1&+3x_2&+5x_3&=&0\end{array}$

Step 1: Transform the augmented matrix to the reduced row echelon form

$\left[ \begin{array}{cccc} 1 & -3 & -2 & 0 \\\\ -1 & 2 & 1 & 0 \\\\ 2 & 3 & 5 & 0 \end{array} \right]$

This matrix can be transformed by a sequence of elementary row operations

Row Operation 1: add 1 times the 1st row to the 2nd row

Row Operation 2: add -2 times the 1st row to the 3rd row

Row Operation 3: multiply the 2nd row by -1

Row Operation 4: add -9 times the 2nd row to the 3rd row

Row Operation 5: add 3 times the 2nd row to the 1st row

to the matrix

$\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]$

The reduced row echelon form of the augmented matrix is

$\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]$

which corresponds to the system

$\begin{array}{ccccc}x_1&&-x_3&=&0\\&x_2&+x_3&=&0\\&&0&=&0\end{array}$

The system has infinitely many solutions.

$\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}$

7 0

3 years ago

A movie streaming website charges an initial fee of $80, plus $4 for each movie that is streamed. How many movies must be stream

pochemuha

Answer:

80 movies must be streamed.

Step-by-step explanation:

To find the average cost, you must divide the total cost by the number of movies watched.

When you watch 1 movie, you pay the initial fee of $80 plus a $4 purchase of the film.

The equation is shown as such:

average cost = (total cost)/(number of movies)

Your total cost can be represented as $4x + 80$ , while the number of movies is represented as $x$ .

You want the average to equal 5, so your equation is shown as follows:

$5 = (4x+80)/x$

simplifying this, we get

$5 = 4 + \frac{80}{x}$

which can then be simplified to

$1 = \frac{80}{x}$

X = 80 movies.

4 0

3 years ago

What is 90 divided by 5 in distributive property

zaharov [31]

18 is the answer //////////////////

3 0

3 years ago

Read 2 more answers

PLEASE HELP, will give brainliest if you answer consider the function represented by the equation 16b = 4r - 12. write the equat

liubo4ka [24]

Answer:b=1/4r-3/4

Step-by-step explanation:

3 0

3 years ago

A rectangle patio is surrounded on three sides by a fence. If the areas of the patio is 45 m sq and the total of fence is 19m wh

Eddi Din [679]

LW = 45
L + 2W = 19
L = 19-2W

substituting for L :-
W(19-2W) = 45

-2W^2 + 19W = 45

2W^2 - 19W + 45 = 0
W = 5 or 4.5

If W = 5, L = 9
If W = 4.5, L = 10

So there are 2 possible answers.

3 0

3 years ago