Answer:
pair of shorts --> $12
sweatshirt --> $24
T-shirt --> $8
Step-by-step explanation:
2 * pair of shorts (p) = sweatshirt (s) --> 2p = s
pair of shorts (p) - $4 = T-shirt (t) --> p - 4 = t
3(2p) + 2p + 5(p-4) = $136
___________________________
3(2p) + 2p + 5(p-4) = $136
6p + 2p + 5p - 20 = $136
13p - 20 = $136
13p = $156
p = 12
So a pair of shorts costs $12.
__________________________
2p = s
2(12) = s
24 = s
So a sweatshirt costs $24.
__________________________
p - 4 = t
12 - 4 = t
8 = t
So a T-shirt costs $8.
<em>Reference:</em>
http://fhsdfhhs.sharpschool.net/UserFiles/Servers/Server_999044/File/Staff%20Directory/Math/Miller,%20J/HonorsA2%20Chap%203%20Rev%20Keys0001.pdf
HOPE THIS HELPS!!!
You should divide each side by 32. Then when you divide the 160 from 32 you should get 5. Because 32x5 =160
Left Hand Side :
sin
x
+
cos
x
cot
x
We know that
cot
x
=
cos
x
sin
x
Therefore
sin
x
+
cos
x
cot
x
=
sin
x
+
cos
x
⋅
(
cos
x
sin
x
)
=
sin
x
+
cos
2
x
sin
x
=
sin
2
x
+
cos
2
x
sin
x
(We know the Trigonometric Identity
sin
2
x
+
cos
2
x
=
1
)
=
1
sin
x
=
csc
x
(Because Cosecant is the reciprocal of Sine)
Hence Proved.
Answer:
x=100
Step-by-step explanation:
2x + 100 = 300
-100 -100
---------------------
2x = 200
---- -----
2 2
x=100
