The cost of toner cartridges is 19.50 more than the cost of an ink cartridge. colleen ordered 11 ink and 4 toner cartridges and thw total cost 460.50. write and solve a system of equations to fons the cost of each cartridge.

Toner = $45.00; ink = $25.50

Step-by-step explanation:

Let T = the cost of a toner cartridge and I = the cost of an ink cartridge

We have two conditions:

(1)                      T = I + 19.50

(2)           4T + 11I = 460.50     Substitute (1) into (2)

4(I + 19.50) + 11I = 460.50     Remove parentheses

 4I + 78.00 + 11I = 460.50     Combine like terms

      15 I + 78.00 = 460.50     Subtract 78.00 from each side

                    15I = 382.50      Divide each side by 15

(3)                  I = 25.50

Substitute (3) into (1)

T = 25.50 + 19.50

T = 45.00

Check:

(1)                         45.00 = 25.50 + 19.50

                           45.00 = 45.00

(2) 4×45.00 + 11×25.50 = 460.50

         180.00 + 280.50 = 460.50

                        460.50 = 460.50

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

20%

step-by-step explanation: