Lesson 2.7:
1) / divide 195 by 18 to get 10.833.
/ to get the whole number, round up to get '11'.
11 cartonsLesson 2.8:
3) 
÷

=
75) 6,681 ÷ 53 =
126 with a remainder of 3Lesson 2.9:
1) / let 'x' equal the inches of snow that reidville gets
/ '12x' equal the inches of snow that greenboro gets
/ you should set up the problem like:

/ add 'x + 12x' to get '13x'.
/ divide both sides by '13'.
/ 5 goes into 13 to get 65. simplify the fraction to '5'.
/
x = 5
Reidville gets 5 inches of snow
2) / let 'x' equal the miles ansley ran in one month
/ you should set up the problem like:

/ add '15x + x' to get '16x'
/ divide both sides by '16'
/ 12 goes into 16 to get 192. simplify the fraction to 12.
/ x = 12
Ansley runs 180 miles (Zack only runs 12)
The first thing I'd do is put this equation into standard slope - intercept form.
12x - 5y = 2 Subtract 12x from each side
-5y = -12x + 2 Divide each side by -5 to isolate the <em>y
</em><em />y = 12/5(x) - 2/5
The slope for this equation is 12/5, so we just take that and plug it into the slope - intercept equation with the given points (2, 3)
y = mx + b Fill in the variables
3 = 12/5(2) + b Simplify
3 = 24/5 + b Subtract 24/5 (or 4 4/5) from each side
-9/5 = b
Now we just fill in the correct variables (m and b) in the equation to have our final answer.
y = 12/5x - 9/5
Answer:
System of equations:

Augmented matrix:
![\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C2%261%261%266%5C%5C1%261%263%266%5Cend%7Barray%7D%5Cright%5D)
Reduced Row Echelon matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%260%261%261%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Convert the system into an augmented matrix:
![\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C2%261%261%266%5C%5C1%261%263%266%5Cend%7Barray%7D%5Cright%5D)
For notation, R_n is the new nth row and r_n the unchanged one.
1. Operations:

Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%26-3%26-3%26-6%5C%5C0%26-1%261%260%5Cend%7Barray%7D%5Cright%5D)
2. Operations:

Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%26-1%261%260%5Cend%7Barray%7D%5Cright%5D)
3. Operations:

Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%260%262%262%5Cend%7Barray%7D%5Cright%5D)
4. Operations:

Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%260%261%261%5Cend%7Barray%7D%5Cright%5D)
Answer:
D. 27 meters cubed
Step-by-step explanation:
The first step is to find the edge length of the small cube. The square root of 0.25 is 0.5, meaning that a larger cube with six times the edge length will have an edge of 0.5*6=3 meters. 3 meters cubed is 27 cubic meters, or option D. Hope this helps!
Answer:
$6.73
Step-by-step explanation:
Since it says "answer in coins" she could have 24 quarters, 7 dimes, and 3 pennies.
I believe this correct but im not exactly sure
I hope this helps :)