Distribute, 6x-21 +5 = -19, Combine like terms, 6x- 16=-19, add, 6x= -3, divide, x=-2
Step-by-step explanation:
hgggghb hhiinhhuhhhhhjj
If Brandi purchases x albums and y singles, then x albums cost $10x and y singles cost $y. She wants to spend no more than $25 total, then

Brandi wants to purchase at least 5 singles. This means that

Note that x and y are whole numbers.
There are three possibility:
- x = 0, y = 25 (the total cost is 10·0 + 1·25 = 25 ≤ 25 and 25 singles is more than 5 singles);
- x = 1, y = 15 (the total cost is 10·1 + 1·15 = 25 ≤ 25 and 15 singles is more than 5 singles);
- x = 2, y = 5 (the total cost is 10·2 + 1·5 = 25 ≤ 25 and 5 singles is equal to minimal required number of singles).
Answer: 1) 0 albums and 25 singles;
2) 1 album and 15 singles;
3) 2 albums and 5 singles.
Answer:
![[B]=2](https://tex.z-dn.net/?f=%5BB%5D%3D2)
Step-by-step explanation:
![B=\left[\begin{array}{ccc}3x-5&-3+2y\\11-3x&2y-5\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3x-5%26-3%2B2y%5C%5C11-3x%262y-5%5Cend%7Barray%7D%5Cright%5D)
With
and 
![B=\left[\begin{array}{ccc}3(3)-5&-3+2(4)\\11-3(3)&2(4)-5\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%283%29-5%26-3%2B2%284%29%5C%5C11-3%283%29%262%284%29-5%5Cend%7Barray%7D%5Cright%5D)
![B=\left[\begin{array}{ccc}9-5&-3+8\\11-9&8-5\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9-5%26-3%2B8%5C%5C11-9%268-5%5Cend%7Barray%7D%5Cright%5D)
![B=\left[\begin{array}{ccc}4&5\\2&3\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%265%5C%5C2%263%5Cend%7Barray%7D%5Cright%5D)
solving the determinant of matrix B
![[B]=\left[\begin{array}{ccc}4&5\\2&3\end{array}\right]=(4.3-5.2)=(12-10)=2](https://tex.z-dn.net/?f=%5BB%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%265%5C%5C2%263%5Cend%7Barray%7D%5Cright%5D%3D%284.3-5.2%29%3D%2812-10%29%3D2)
Answer:
the length of the arc EG = 15.7 feet
Step-by-step explanation:
∵m∠EOG = 60°
∵ measure circle 360°
∴ 
∴ The length of the intercepted arc EG is 1/6 the length of the circle
∵Length circle = 2 π r
∴ Length arc EG =
× 2 × 3.14 × 15 = 15.7 feet