Samuel wants to buy at least twice as many dvds as cds. cds sell for $7 each, and dvds sell for $12 each. samuel can spend a maximum of $50. let c represent the number of cds, and let d represent the number of dvds. which system of inequalities can be used to find the number of cds and dvds samuel can buy?

The inequalities that will be used are:

d ≥ 2c

7c+12d ≤ 50

Step-by-step explanation:

Let:

c = number of CDs purchased

d = number of DVDs purchased.

It is given that:

Samuel wants to buy at least twice as many DVDs as CDs.(1)

CDs sell for $7 each, and DVDs sell for $12 each.

Samuel can spend a maximum of $50.(2)

Let c represent the number of CDs, and let d represent the number of DVDs.

Hence, we have from first statement that:

d ≥ 2c.

From the second statement we have:

7c+12d ≤ 50

Hence, the inequalities used are:

d ≥ 2c

7c+12d ≤ 50.

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

9x