Answer:
- y= -12
- x = 7
- q = -1
- x = 24
Step-by-step explanation:
1. ..............................................
- 6(y + 7) = 2(y - 3)
- 6y + 42 = 2y - 6
- 6y - 2y = -6 - 42
- 4y = -48
- y = -12
2...............................................
- 3x + 2(x - 5) = 25
- 3x + 2x - 10 = 25
- 5x = 25 + 10
- 5x = 35
- x = 7
3 . ..............................................
- 10q + 3q + 5 = 2(q - 3)
- 13q + 5 = 2q - 6
- 13q - 2q = -6 - 5
- 11q = -11
- q = -1
4. ..............................................
- 1/3(x + 6) = 2/3(x - 9)
- 3*1/3(x+6) = 3*2/3(x - 9)
- x + 6 = 2(x - 9)
- x + 6 = 2x - 18
- 2x - x = 6 + 18
- x = 24
First, convert all of the fractions to decimals:
2.5x - .75 (2x + 5) = .375
Then distribute the parenthesis:
2.5x - 1.5x + 3.75 = .375
Subtract the 1.5x:
1x + 3.75 = .375
Subtract 3.75 from both sides:
1x = -3.375
Convert back to fraction:
1x = -3 375/1000
Simplify:
X = -3 3/8
(5 + 2i)(1 + 3i)
5 * 1 = 5
5 * 3 = 15i
2i * 1 = 2i
2i * 3i = 6i^2
So we have...
5 + 15i + 2i + 6i^2
5 + 17i + 6i^2
In order....
6i^2 + 17i + 5
Answer:
The number of small boxes is 9 and the number of large boxes is 3
Step-by-step explanation:
Let x be the number of large boxes.
The camp bought 3 times as many small boxes as large boxes, then the number of small boxes is 3x.
Each small box has 6 granola bars, then there are 
granola bars in 3x small boxes.
Each large box has 12 granola bars, then there are 
granola bars in x large boxes.
All boxes had 90 granola bars, so
Answer:
y=-x+6
Step-by-step explanation:
make it into y=mx+b form
x+y=6
-x -x
y=-x+6
