Solve. 489.209 + 43.9

sasho [114]

#8: $900. (I found this answer by multiplying 3000 and 0.3 by the way)
#9: 160 miles. I found this answer by multiplying 80 by two, since two halves/50% make a whole or 100%.

3 0

2 years ago

Perform the indicated row operations, then write the new matrix.

Studentka2010 [4]

The matrix is not properly formatted.

However, I'm able to rearrange the question as:

$\left[\begin{array}{ccc}1&1&1|-1\\-2&3&5|3\\3&2&4|1\end{array}\right]$

Operations:

$2R_1 + R_2 ->R_2$

$-3R_1 +R_3 ->R_3$

Please note that the above may not reflect the original question. However, you should be able to implement my steps in your question.

Answer:

$\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right]$

Step-by-step explanation:

The first operation:

$2R_1 + R_2 ->R_2$

This means that the new second row (R2) is derived by:

Multiplying the first row (R1) by 2; add this to the second row

The row 1 elements are:

$\left[\begin{array}{ccc}1&1&1|-1\end{array}\right]$

Multiply by 2

$2 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}2&2&2|-2\end{array}\right]$

Add to row 2 elements are: $\left[\begin{array}{ccc}-2&3&5|3\end{array}\right]$

$\left[\begin{array}{ccc}2&2&2|-2\end{array}\right] + \left[\begin{array}{ccc}-2&3&5|3\end{array}\right]$

$\left[\begin{array}{ccc}0&5&7|1\end{array}\right]$

The second operation:

$-3R_1 +R_3 ->R_3$

This means that the new third row (R3) is derived by:

Multiplying the first row (R1) by -3; add this to the third row

The row 1 elements are:

$\left[\begin{array}{ccc}1&1&1|-1\end{array}\right]$

Multiply by -3

$-3 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right]$

Add to row 2 elements are: $\left[\begin{array}{ccc}3&2&4|1\end{array}\right]$

$\left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right] + \left[\begin{array}{ccc}3&2&4|1\end{array}\right]$

$\left[\begin{array}{ccc}0&-1&1|4\end{array}\right]$

Hence, the new matrix is:

$\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right]$

3 0

3 years ago

Read 2 more answers

Direction: Determine whether the given point is a solution to the given system of linear inequalities.

Ann [662]

Answer:

The given point is a solution to the given system of inequalities.

Step-by-step explanation:

Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of $(3,2)$ are $x=3$ and $y=2$ , respectively.

Plugging these values into the first inequality, $y\leq x+3$ , gives us $2\leq 3+3$ , which simplifies to $2\leq 6$ . This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.

Plugging the coordinates into the second inequality, $y\geq -x+3$ , gives us $2\geq -3+3$ , which simplifies to $2\geq 0$ . This is also a true statement, so the given point satisfies the second inequality as well. Therefore, $\bold(\bold3\bold,\bold2\bold)$ is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!

8 0

3 years ago

A study done recently 3out of 5 results used brand x how many used brand x out of 2000

Afina-wow [57]

(3/5 )*2000 would give you 1200, which is your answer

6 0

3 years ago

There are 34 empty seats and 16 occupied seats. What is the ratio of empty to occupied seats? a) 34 to 16 b) 17 to 8 c) 8 to 17

Komok [63]

Answer:

A

Step-by-step explanation:

Ratio means comparison, so we have to compare the two given examples, in this state empty and occupied.

one of the most important things to look for during ratios is what comes first. In this statement it says empty to occupied, not occupied than empty/.

if we know that empty is 34 and occupid is 16 than we know our answer is A

Please mark me branliest.

Have a great day!

5 0

2 years ago