Answer:
9 * 10^16
Step-by-step explanation:
2 * 10^16
+7 * 10^16
9 * 10^16
Answer:
7 pounds
Step-by-step explanation:
8 divided by 4 is 2 so $2 per pound
14 divided by 2 is 7 so therefore it would be 7 pounds
I had the wrong answer before sry haha
Hey there!
1/3 is equivalent to 2/6
Here is why:
1 x 2 = 2
3 x 2 = 6
You can do this by cross multiplying 1/3 and 2/6
That's how you get 2/6 as an equivalent fraction.
1/3 is also equivalent to 3/9
Here is why:
3 x 1 = 3
3 x 3 =9
You can also do this by cross multiplying 1/3 and 3/9
That's how you get 3/9 as an equivalent fraction.
There are also many other fractions that are equal to 1/3, but these are the first two.
Hope this helps you.
Have a great day!
Answer:
I would see if you could divide it by the number of books and then add the tax.
Step-by-step explanation:
Answer:
![X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\](https://tex.z-dn.net/?f=X%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%261%5C%5C5%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D21%5C%5C20%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5C%5C)
Step-by-step explanation:
Given the simultaneous equation
x+y=21
5x+4y=20
To write in matrix form, it must be in the form AX= b
X = A⁻¹b
A⁻¹ is the inverse of matrix A
A is a 2by2 matrix
X is the variables
b is a column matrix
The expression will therefore be written as;
![A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%5C%5C5%264%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%7CA%7C%20%3D%201%284%29-%205%281%29%5C%5C%7CA%7C%20%3D%204-5%5C%5C%7CA%7C%20%3D%20-1%5C%5CA%5E%7B-1%7D%20%3D%20-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-1%5C%5C-5%261%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CA%5E%7B-1%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%261%5C%5C5%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5C%5C)
Hence the required product matrix that represent X is;
![X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\](https://tex.z-dn.net/?f=X%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%261%5C%5C5%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D21%5C%5C20%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5C%5C)