Emily purchased a couch, loveseat, in the chair for $2000. The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat. Find the cost of the couch, loveseat, and chair.

Chair $280

Loveseat $560

Couch $ 1,160

Step-by-step explanation:

chair = x

loveseat=2x

couch = 2x + 600

x +2x + 2x +600 = 2000

5x + 600 =2000 subtract 600 from both sides

5x =1400 divide by 5

x = $280

Chair is the value of x =$280

Loveseat is twice the value of x = 2 x $280 =$560

Couch is twice the value of x plus $600 = $560 + $600

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