Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of 12, and juice boxes come in a package of 10 . What is the fewest number of packages of each product Torrance must purchase so that he has the same number of snack bags and juice boxes?

5 snack bags and 6 juice boxes.

Step-by-step explanation:

The least common multiple of 12 and 10 is 60. If he buys 5 snack bags and 6 juice boxes, he will have 60 of each. 12 goes into 60 5 times, and 10 goes into 60 6 times.

hope it you

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