Answer:
1/5
Step-by-step explanation:
If each tray has 1 purple in 5 colors, it doesn't matter how many trays there are. The fraction of colors that is purple is 1/5.
2x=3
so substitute y=mx+c
rise/run
Answer:
76 birds
Step-by-step explanation:
Let x = the number of birds
Let y = the number of cats
x + y = 35 y = 35 - x
4.50x + 8.50y = 221.50 Multiply the whole equation by 100.
450x + 850y = 22150
450x + 850(35 - x) = 22150
450x + 29750 - 850x = 22150
-100x = -7600
x = 76 birds
Explanation:
This is a geometric sequence with initial term
1
and common ratio
4
:
a
1
=
1
a
n
=
a
1
⋅
4
n
−
1
=
4
n
−
1
10
∑
n
=
1
4
n
−
1
=
1
3
(
4
−
1
)
10
∑
n
=
1
4
n
−
1
=
1
3
(
4
10
∑
n
=
1
4
n
−
1
−
10
∑
n
=
1
4
n
−
1
)
=
1
3
(
11
∑
n
=
2
4
n
−
1
−
10
∑
n
=
1
4
n
−
1
)
=
1
3
⎛
⎝
4
10
+
10
∑
n
=
2
4
n
−
1
−
1
−
10
∑
n
=
2
4
n
−
1
⎞
⎠
=
1
3
(
4
10
−
1
)
=
1
3
(
2
20
−
1
)
=
1
3
(
1048576
−
1
)
#=1048575/3#
=
349525
Answer:
Quadrant 1: 36°
Quadrant 2: 144°
Quadrant 3 (Given): 216°
Quadrant 4: 324°
Step-by-step explanation:
A 216° angle in standard position has its terminal side in quadrant 3 since 216° is between 180° and 270°.
216° - 180° = 36°
The reference angle for 216° is 36°
Quadrant 1: 36°
Quadrant 2: 180° - 36° = 144°
Quadrant 3 (Given): 216°
Quadrant 4: 360° - 36° = 324°
