On a test, summer got 12 multiple choice and 4 constructed response questions correct. summer scored 8 points more than kerry who got 10 multiple choice and 3 constructed response questions correct. enter an equation that shows how much each multiple choice question (m) and each constructed response question (c) is worth.

2m + c = 8

Step-by-step explanation:

Summer's score = Kerry's score + 8

12m + 4c = 10m + 3c + 8

Combining like terms:

2m + c = 8

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