Answer:
(10, -20).
Step-by-step explanation:
y= -5x + 30
x = 10
Substitute x = 10 in the first equation:
y = -5*10 + 30
y = -50 + 30
y = -20.
So the solution is (10, -20).
Answer: Each brother will get 1 and 1/2 of the 2 sandwiches
Step-by-step explanation: Convert 3/2 into a mixed number
The given inequality is:
-5c + 2 ≤ 27
Subtracting 2 from both sides, we get:
-5c + 2 - 2 ≤ 27 - 2
-5x ≤ 25
Dividing by 5 on both sides we get:
- x ≤ 5
Multiplying by -1 we get:
x ≥ 5
Remember that multiplying or dividing by a negative number changes the direction of inequality symbol.
From the given options, the second graph correctly represents this solution.
Answer:
156 
Step-by-step explanation:
find the areas of all the faces and add them up
area of a rectangle: 
area of a trapezoid: 

the area of the trapezoid is multiplied by 2 because there's a top and bottom
Answer:
c. x ≈ 1.71, y ≈ 6.29, z ≈ 60.71
Step-by-step explanation:
You are at a bit of a disadvantage with this problem, because both the hint and the answer choices are incorrect.
The matrix equation is ...
![AX=B\\\\\left[\begin{array}{ccc}-1&1&0\\4&3&0\\1&-7&1\end{array}\right]\left[\begin{array}{c}x&y&z\end{array}\right]=\left[\begin{array}{c}8&12&15\end{array}\right]](https://tex.z-dn.net/?f=AX%3DB%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%261%260%5C%5C4%263%260%5C%5C1%26-7%261%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D8%2612%2615%5Cend%7Barray%7D%5Cright%5D)
Contrary to what the hint is telling you, the multiplication by the inverse must be on the left:

Using appropriate tools to compute the inverse, this becomes ...
![\left[\begin{array}{c}x&y&z\end{array}\right]=\dfrac{1}{7}\left[\begin{array}{ccc}-3&1&0\\4&1&0\\31&6&7\end{array}\right]\left[\begin{array}{c}8&12&15\end{array}\right]\\\\\left[\begin{array}{c}x&y&z\end{array}\right]=\dfrac{1}{7}\left[\begin{array}{c}-12&44&425\end{array}\right]\approx\left[\begin{array}{c}-1.714&6.286&60.714\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D%5Cdfrac%7B1%7D%7B7%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%261%260%5C%5C4%261%260%5C%5C31%266%267%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D8%2612%2615%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D%5Cdfrac%7B1%7D%7B7%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-12%2644%26425%5Cend%7Barray%7D%5Cright%5D%5Capprox%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-1.714%266.286%2660.714%5Cend%7Barray%7D%5Cright%5D)
The closest match is choice C.