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3 years ago

Which answer is the same as moving the decimal in 12.9 two places to the right?

1 answer:

8 0

The answer is C.
$12.9*100=1290$
Since 1290 can be represented as 1290. we know that the decimal was moved to the right twice.

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Use matrices and elementary row to solve the following system:

LiRa [457]

I assume the first equation is supposed to be

$5x-3y+2z=13$

and not

$5x-3x+2x=4x=13$

As an augmented matrix, this system is given by

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\4&-2&4&12\end{array}\right]$

Multiply through row 3 by 1/2:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\2&-1&2&6\end{array}\right]$

Add -1(row 2) to row 3:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&5&5\end{array}\right]$

Multiply through row 3 by 1/5:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&1&1\end{array}\right]$

Add -2(row 3) to row 1, and add 3(row 3) to row 2:

$\left[\begin{array}{ccc|c}5&-3&0&11\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Add -3(row 2) to row 1:

$\left[\begin{array}{ccc|c}-1&0&0&-1\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Multiply through row 1 by -1:

$\left[\begin{array}{ccc|c}1&0&0&1\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Add -2(row 1) to row 2:

$\left[\begin{array}{ccc|c}1&0&0&1\\0&-1&0&2\\0&0&1&1\end{array}\right]$

Multipy through row 2 by -1:

$\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-2\\0&0&1&1\end{array}\right]$

The solution to the system is then

$\boxed{x=1,y=-2,z=1}$

5 0

3 years ago

What is the missing output value in the function table below

elena-s [515]

Answer:

Step-by-step explanation:

It makes sense because it goes down one by one in both the input and output values

8 0

3 years ago

Simple interest can be found by using the formula I= prt, where 1= interest, p=principle, r=rate, and t=time. Solve for principl

sveta [45]

I =PRT

solve for P

divide both sides by RT

I/RT = P

4 0

3 years ago

Angle W and angle X are congruent. If their sum is 121 degrees, what is the measure of angle X?

Nimfa-mama [501]

< W and < X are congruent....so they are equal.....so if their sum is 121....just divide by 2 for ur answer

121/2 = 60.5.....so < W = 60.5 and < X = 60.5

5 0

3 years ago

The following data show the number of cars passing through a toll booth during a certain time period over 15 days. 18 19 17 17 2

IgorLugansk [536]

Answer: third from the top

Step-by-step explanation:

The correct answer is third from the top.

Arranging numbers in ascending order:

15 17 17 17 18 18 18 19 19 19 21 21 22 23 24

Let's count how many times each number occurs in this series of numbers.

row of numbers

15 +

16 not

17 + + +

18 + + +

19 + + +

20 not

21 + +

22 +

23 +

24 +

25 not

6 0

3 years ago