The two equations from the previous activity are given below. k = 500 - a
3k + 10a = 3,600 (2)

Now use the substitution method to solve the modified system of linear equations. Solve the system to find the number of kids and adults who visited the carnival.

3 (500-a)+10 (a)=7200

1500-3a+10(a)=7200

1500+7a=7200

7a=7200-1500

7÷(7a=5700)

a=814.2

lol hagq

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west