Step-by-step explanation:
x = $5
y = $1
4x + 10y = $30
4(5) + 10(1) = 30
$20 + $10 = $30
5x + 5y = $30
5(5) + 5(1) = 30
$25 + $5 = $30
Step-by-step explanation:
line 1 and 2 : parallel
as line 2 is actually
6x + 2y = 8
2y = -6x + 8
y = -3x + 4
so, they have the same slope (factor of x).
line 1 and 3 : neither
the slopes -3 and 3 are not parallel not perpendicular (90°).
line 2 and 3 : neither
as line 2 is parallel to line 1, it has the same relationship to line 3 as line 1.
0.25q + 0.10d = 1.25
q + d = 8....q = 8 - d
0.25(8 - d) + 0.10d = 1.25
2 - 0.25d + 0.10d = 1.25
-0.25d + 0.10d = 1.25 - 2
-0.15d = - 0.75
d = -0.75/-0.15
d = 5 <=== there are 5 dimes
q + d = 8
q + 5 = 8
q = 8 - 5
q = 3 <=== there are 3 quarters