Answer:
7
Step-by-step explanation:
$45- $8 = 37 (aka his raffle ticket spending money)
37÷5= 7, so the max # of raffle tickets he can buy is 7.
Answer:
(3.5, 2)
Step-by-step explanation:
From the attachment, we have:
![H = (1,1)](https://tex.z-dn.net/?f=H%20%3D%20%281%2C1%29)
![J= (2,3)](https://tex.z-dn.net/?f=J%3D%20%282%2C3%29)
![K=(6,3)](https://tex.z-dn.net/?f=K%3D%286%2C3%29)
![L = (5,1)](https://tex.z-dn.net/?f=L%20%3D%20%285%2C1%29)
Required
Determine the point of intersection
To do this, we simply calculate the midpoints of the diagonals; which are:
HK and JL
Midpoint is calculated as:
![M = \frac{1}{2}(x_1 + x_2,y_1+y_2)](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28x_1%20%2B%20x_2%2Cy_1%2By_2%29)
For HK:
![M = \frac{1}{2}(1+6,1+3)](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%2B6%2C1%2B3%29)
![M = \frac{1}{2}(7,4)](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B2%7D%287%2C4%29)
![M = (3.5,2)](https://tex.z-dn.net/?f=M%20%3D%20%283.5%2C2%29)
For JL:
![M = \frac{1}{2}(2+5,3+1)](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B2%7D%282%2B5%2C3%2B1%29)
![M = \frac{1}{2}(7,4)](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B2%7D%287%2C4%29)
![M = (3.5,2)](https://tex.z-dn.net/?f=M%20%3D%20%283.5%2C2%29)
For both diagonals, the coordinate of the midpoint is (3.5, 2).
Hence, the point of intersection is: (3.5, 2)
Answer:
The answer is C jazz, opera and rock 12+10+18 = 40
Step-by-step explanation: