The equation that can be used to represent this context is 75 = 40 + 3.5x.
<h3>Description of the reward points </h3>
The reward points Arianna receives are divided into two. They are the fixed reward point and the variable reward points. The fixed reward point is the point that she receives when she signs up. The variable reward point is the point that increases with going to the movie theater.
Total reward points = the fixed reward point + variable reward points
Total reward points = 40 + 3.5xx
75 = 40 + 3.5xx
To learn more about fixed costs, please check: brainly.com/question/25879561
Answer:
-4
Step-by-step explanation:
PEMDAS
= 4
-36 /4 = -9
-9+5 = -4
The answer is D)20 degrees since vertical angles equal the same
Answer:
The value of a = 14
Step-by-step explanation:
Given
(x₁, y₁) = (2, 4)
(x₂, y₂) = (6, a)
(x₃, y₃) = (-1, 1)
A = 9 sq.units
Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:
![A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Cleft%7Cx_1%5Cleft%28y_2-y_3%5Cright%29%2Bx_2%5Cleft%28y_3-y_1%5Cright%29%2Bx_3%5Cleft%28y_1-y_2%5Cright%29%5Cright%7C%7D%7B2%7D)
substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula
![A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Cleft%7Cx_1%5Cleft%28y_2-y_3%5Cright%29%2Bx_2%5Cleft%28y_3-y_1%5Cright%29%2Bx_3%5Cleft%28y_1-y_2%5Cright%29%5Cright%7C%7D%7B2%7D)
![9=\frac{\left|2\left(a-1\right)+6\left(1-4\right)+-1\left(4-a\right)\right|}{2}](https://tex.z-dn.net/?f=9%3D%5Cfrac%7B%5Cleft%7C2%5Cleft%28a-1%5Cright%29%2B6%5Cleft%281-4%5Cright%29%2B-1%5Cleft%284-a%5Cright%29%5Cright%7C%7D%7B2%7D)
Multiply both sides by 2
![\frac{2\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|}{2}=9\cdot \:2](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cleft%7C2%5Cleft%28a-1%5Cright%29%2B6%5Cleft%281-4%5Cright%29-1%5Cleft%284-a%5Cright%29%5Cright%7C%7D%7B2%7D%3D9%5Ccdot%20%5C%3A2)
simplify
![\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|=18](https://tex.z-dn.net/?f=%5Cleft%7C2%5Cleft%28a-1%5Cright%29%2B6%5Cleft%281-4%5Cright%29-1%5Cleft%284-a%5Cright%29%5Cright%7C%3D18)
As the area is always positive.
so
![2\left(a-1\right)+6\left(1-4\right)-1\cdot \left(4-a\right)=18](https://tex.z-dn.net/?f=2%5Cleft%28a-1%5Cright%29%2B6%5Cleft%281-4%5Cright%29-1%5Ccdot%20%5Cleft%284-a%5Cright%29%3D18)
![2\left(a-1\right)-18-\left(4-a\right)=18](https://tex.z-dn.net/?f=2%5Cleft%28a-1%5Cright%29-18-%5Cleft%284-a%5Cright%29%3D18)
Add 18 to both sides
![2\left(a-1\right)-18-\left(4-a\right)+18=18+18](https://tex.z-dn.net/?f=2%5Cleft%28a-1%5Cright%29-18-%5Cleft%284-a%5Cright%29%2B18%3D18%2B18)
simplify
![2\left(a-1\right)-\left(4-a\right)=36](https://tex.z-dn.net/?f=2%5Cleft%28a-1%5Cright%29-%5Cleft%284-a%5Cright%29%3D36)
![3a-6=36](https://tex.z-dn.net/?f=3a-6%3D36)
![3a=42](https://tex.z-dn.net/?f=3a%3D42)
Divide both sides by 3
![\frac{3a}{3}=\frac{42}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3a%7D%7B3%7D%3D%5Cfrac%7B42%7D%7B3%7D)
![a=14](https://tex.z-dn.net/?f=a%3D14)
Thus, the value of a = 14
Answer:
6 pounds
Step-by-step explanation:
2.7/0.45 = 6