Parallel lines will have the same slope, but different y int
y = -3/2x + 8....slope = -3/2....y int = 8
(I) 3x + 2y = 10
2y = -3x + 10
y = -3/2x + 5....slope = -3/2, y int = 5....this IS parallel
(II) 2x - 3y = 9
-3y = -2x + 9
y = 2/3x - 3...slope = 2/3, y int = -3....is not parallel
(III) 6x + 4y = 28
4y = -6x + 28
y = -3/2x + 7...slope = -3/2, y int = 7....this IS parallel
(IV) 3x - 2y = 8
-2y = -3x + 8
y = 3/2x - 4...slope = 3/2...y int = -4...this is not parallel
solution is : I and III
Answer:
1)25%
2)likely
3)1/4
4)46
5)10%
6)I am so sorry I have no clue
7)1/4 or 1/12
8)1/8 or 1/12
9)80%
10)80%
1/15
Step-by-step explanation:
I hope this helps.
Answer:
70 dolls
Step-by-step explanation:
Hello!
The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.
Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.
Equation:
Solve:
- 5x - 15 = 2x + 15
- 5x - 30 = 2x
- 5x = 2x + 30
- 3x = 30
- x = 10
So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.
The total sum is 70 dolls.
