Joseph buys a gallon of milk every 6th day and a box of cereal every 8th day. He bought both items today. In how many days will he buy both items together again?

24 days

Step-by-step explanation:

Milk: 6, 12, 18, 24, 30

Cereal: 8, 16, 24

You can see that 24 matches up with both cycle.

(x, y)→(x − 8, y − 7)

step-by-step explanation:

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2