In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. if
1/3
of the drink is apple juice and
1/2
is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.

1:2:3

Step-by-step explanation:

Let

x > the quantity of apple juice

y > the quantity of orange juice

z > the quantity of  cranberry juice

we know that

The sum of the fractions of each ingredient must be equal to 1 (100% of the drink)

so

(1/3)+(1/2)+z=1

Solve for z

z=1-(2+3)/6

z=1/6

therefore

1/6 of the drink is cranberry juice

Find the ratio of cranberry juice to apple juice to orange juice

z:x:y

substitute

1/6:1/3:1/2

Multiply by 6

1:2:3

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

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