what is .064 as a fraction?

Multiply on the right by the transpose of the matrix on the left side:

[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}[/tex]

[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top[/tex]

The transpose is just the same matrix with the entries reflected along the main diagonal:

[tex]\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top=\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}[/tex]

So

[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}[/tex]

[tex]X\begin{bmatrix}6&5\\5&10\end{bmatrix}=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}[/tex]

Now multiply on the right by the inverse of the matrix on the left side:

[tex]X\begin{bmatrix}6&5\\5&10\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}[/tex]

[tex]X=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}[/tex]

The inverse is

[tex]\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}=\frac1{60-25}\begin{bmatrix}10&-5\\-5&6\end{bmatrix}=\begin{bmatrix}2/7&-1/7\\-1/7&6/35\end{bmatrix}[/tex]

So

[tex]X=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}2/7&-1/7\\-1/7&6/35\end{bmatrix}=\boxed{\begin{bmatrix}1&-2\\2&1\end{bmatrix}}[/tex]

Step-by-step explanation:

-26=3v+1

-1 on both sides

-27=3v

divide by 3 both sides

-9=v

answer 143.00 Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Every time you roll a die, there's a 1 in 6 chance that you're gonna roll any given number on the die

Answer:

528

Step-by-step explanation:

Surface area of bottom block + Surface area of top block - 2(Shared surface area)

Bottom block: 2(10*12) + 2(5*12) + 2(5*10) = 240 + 120 + 100 = 460 square inches

Top block: 2(2*2) + 4(2*8) = 8 + 64 = 72 square inches

Shared surface area = 2*2 = 4 square inches

Plugging into our formula:

460 + 72 - 4 = 528 square inches

Answer:

X is 160 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Answer:

X=160° because straight line =180

180°-20

160°

Answer: 1,800 pies in total

Step-by-step explanation:

A key detail missing is that there are 378 green tea pies.

Assuming the total number of pies is x.

65% of this is taro pies. This leaves 35% to be red bean pies and green tea pies.

If 40% of this remaining 35% are red bean pies, that means that 60% are green tea pies.

= 35% * 60%

= 21% of the total are green tea pies

There are 378 green tea pies and this is 21% of the total number of pies.

378 = 0.21 * x

x = 378 / 0.21

= 1,800 pies in total

Answer:

D. In a chemical change, a new substance forms.

Step-by-step explanation:

The chemical reaction produces a new substance with new and different physical and chemical properties.

(hope this helps :P)

Answer:

Step-by-step explanation:

There are six sides, in this case they are all equal square faces.

A=6s^2, s, side length is 5.5 so

A=6(5.5)^2

A=6(30.25)

A=181.5 cm^2

Answer:

472 feet

Step-by-step explanation:

The 220 ft is the opposite leg.

The distance from the boat to the base of the lighthouse is the adjacent leg.

tan 25 = 220/x

x = 220/tan 25

x = 472

Answer 472 feet

Answer:

t=4

Step-by-step explanation:

Calculator (Factoring)

Answer:

the numbers are 213 and 497

Step-by-step explanation:

First, add the digits of the ratio: 3 + 7 = 10

Then, divide the sums: 710/10 = 71

What this does is find the value of each 'unit' - we don't know what 3 is, or 7, but we know that 1 = 71

Since 1 x 3 = 3 and 1 x 7 = 7, by multiplying 71 with 3 and 7 we can find the numbers:

71 x 3 = 213

71 x 7 = 497

u can check this by adding them together: 213 + 497 = 710

hope this helps!

Answer:

5-6 people needed fieoshshdudhsbsbz

Answer:

41.6666% is a required percent of 48 is 20

20/48×100%=41.6666%

Answer:

x² + 10x + 24

Step-by-step explanation:

Use foil to multiply them.

x ( x + 4 ) = x² + 4x

6 ( x + 4) = 6x + 24

Combine like terms: x² + 10x  + 24

Hope this helps :)

Answer:

-89

Step-by-step explanation:

using the following inequality 9 > 2. multiply each side by ( - 3 ) write a true inequality statement. 12 > -1, -27 > - 6,

Answer:

A, B, D

Step-by-step explanation:

Answer:

The original mean is 12

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Because if janice getd 20 and kayla also 40 gets Sweets among

Answer:

six and twenty one hundredths

Answer:

A. It is an atom

Step-by-step explanation:

That shows CO2 in the form of an atom

Answer:

D

Step-by-step explanation:

The answer is compound because a compound is a mixture of the two or the formed final product. It is basically the final result after adding those two together. It's also known as your solution. It isn't C a mixture because a mixture would just be a mix of the the molecules they wouldn't be bonded(attached to one another).

Hope this helps you out :)

Answer:

Lee earns 2x.

They both earn 3x.

Step-by-step explanation:

If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.

Answer:

6 Students

Step-by-step explanation:

10% of 60 is 6.