Bill has to make party bags for his sister's birthday party. He was given 3/5 pounds of candy to place in each bag. He will need to place 1/10 pound of candy in each bag to fill them up. How many party bags can he make?

6

Step-by-step explanation:

Bill was given 3/5 pounds, in decimal it is:

He will need to place 1/10 pound, in decimal it is:

He can make party bags:

0.6 : 0.1 = 6

answer: b

step-by-step explanation:

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