Answer:
Lines 2 and 3 are parallel with slope (-2/3) and different y intercepts, and both are perpendicular to line 1 (-1) / (3/2) = (-2/3)
Step-by-step explanation:
Parallel lines have the same slope
Perpendicular lines have negative reciprocal slopes
line 1: 6x - 4y = 2
line 1: 4y = 6x - 2
line 1: y = (3/2)x - 0.5
line 2: y = (-2/3)x - 6
line 3:3y = -2x + 4
line 3: y = (-2/3)x + 4/3
-20 = x + 16.....subtract 16 from both sides
-20 - 16 = x....combine like terms
-36 = x
Have you found the answer yet
Answer:
Leslie has 13 quarters and 23 half-dollars.
Step-by-step explanation:
You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:
x+y=36 (1)
0.25x+0.50y=14.75 (2), where:
x=amount of quarters
y=amount of half-dollars
First, you can isolate x in (1):
x=36-y (3)
Then, you can replace (3) in (2):
0.25(36-y)+0.50y=14.75
9-0.25y+0.50y=14.75
0.25y=5.75
y=5.75/0.25
y=23
Finally, you can replace the value of y in (3) to find the value of x:
x=36-23
x=13
According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.
