Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9
Answer: 11.5
Step-by-step explanation:
15 + 2x = 42
-15 -15
----- -----
2x = 23
----- ------
2 2
x = 11.5
Answer:
Its the first option.
Step-by-step explanation:
Game 1 - you win or lose.
Game 2 - you win or lose
So that makes 4 possible branches along the tree.
WW, WL LW and LL.
Answer:
CD = 2 units
Step-by-step explanation:
in the given right triangle ΔCDE,
By applying tangent rule,
tan(∠E) = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
= ![\frac{\text{CD}}{\text{DE}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BCD%7D%7D%7B%5Ctext%7BDE%7D%7D)
tan(30)° = ![\frac{\text{CD}}{2\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BCD%7D%7D%7B2%5Csqrt%7B3%7D%7D)
![\frac{1}{\sqrt{3}}=\frac{\text{CD}}{2\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%3D%5Cfrac%7B%5Ctext%7BCD%7D%7D%7B2%5Csqrt%7B3%7D%7D)
CD = ![\frac{2\sqrt{3}}{\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%7D)
CD = 2 units
Therefore, CD = 2 unit will be the answer.