-0.7, -0.6, -0.5, -0.4, -0.3
Answer:
B. 10 1/2 feet
Step-by-step explanation:
We are told that she taped 7 boxes.
We are also told that she uses 1 1/2 feet of tape to close each box.
Therefore, the length of tape she will need to use for the 7 boxes will be the product of 7 boxes and 1 1/2 feet of tape per box:
L = 1 1/2 * 7 = 3/2 * 7 = 21/2 = 10 1/2 feet.
She will need to use 10 1/2 feet of tape.
Answer:
where's the table???
Step-by-step explanation:
Answer:
IMPOSSIBLE
Step-by-step explanation:
First we set the equation system:

Now we set the matrix in order to have a solution for the system:
![\left[\begin{array}{ccc}1&1&0\\0&4&1\\4a&b&c\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C0%264%261%5C%5C4a%26b%26c%5Cend%7Barray%7D%5Cright%5D)
Now we are going to apply Gauss-Jordan to find the solution of the system in terms of a, b and c:
![-4aR_{1}+R_{3}\rightarrow R_{3}\\\\{\left[\begin{array}{ccc}1&1&0\\0&4&1\\0&(-4a+b)&c\end{array}\right]](https://tex.z-dn.net/?f=-4aR_%7B1%7D%2BR_%7B3%7D%5Crightarrow%20R_%7B3%7D%5C%5C%5C%5C%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C0%264%261%5C%5C0%26%28-4a%2Bb%29%26c%5Cend%7Barray%7D%5Cright%5D)
Next step:
![(4a-b)R_{2}+4R_{3} \rightarrow R_{3}\\\\{\left[\begin{array}{ccc}1&1&0\\0&4&1\\0&0&(4a-b+c)\end{array}\right]](https://tex.z-dn.net/?f=%284a-b%29R_%7B2%7D%2B4R_%7B3%7D%20%5Crightarrow%20R_%7B3%7D%5C%5C%5C%5C%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C0%264%261%5C%5C0%260%26%284a-b%2Bc%29%5Cend%7Barray%7D%5Cright%5D)
Next step:
![(4a-b+c)R_{2}-R_{3} \rightarrow R_{2}\\\\{\left[\begin{array}{ccc}1&1&0\\0&4(4a-b+c)&0\\0&0&(4a-b+c)\end{array}\right]](https://tex.z-dn.net/?f=%284a-b%2Bc%29R_%7B2%7D-R_%7B3%7D%20%5Crightarrow%20R_%7B2%7D%5C%5C%5C%5C%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C0%264%284a-b%2Bc%29%260%5C%5C0%260%26%284a-b%2Bc%29%5Cend%7Barray%7D%5Cright%5D)
Next step:
![4(4a-b+c)R_{1}-R_{2} \rightarrow R_{1}\\\\{\left[\begin{array}{ccc}4(4a-b+c)&0&0\\0&4(4a-b+c)&0\\0&0&(4a-b+c)\end{array}\right]](https://tex.z-dn.net/?f=4%284a-b%2Bc%29R_%7B1%7D-R_%7B2%7D%20%5Crightarrow%20R_%7B1%7D%5C%5C%5C%5C%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%284a-b%2Bc%29%260%260%5C%5C0%264%284a-b%2Bc%29%260%5C%5C0%260%26%284a-b%2Bc%29%5Cend%7Barray%7D%5Cright%5D)
With this solution, we have a new equation system:

This system can be solved by Cramer's rule, by finding the matrix determinant:
![\left[\begin{array}{ccc}16&-4&4\\16&-4&4\\4&-1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D16%26-4%264%5C%5C16%26-4%264%5C%5C4%26-1%261%5Cend%7Barray%7D%5Cright%5D)

As the determinant is zero, we can say that the second system is imposible to solve.
Answer:
$165
Step-by-step explanation:
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