Final answer:
To solve the equation 0.9c - 1.89r = 17.01 where r = -10/21c, substitute the value of r into the equation and solve for c. The value of c is approximately 6.3, corresponding to option d. c = 6.
Step-by-step explanation:
To solve the equation 0.9c + 1.89r = 17.01 with the condition r = -10/21c, we first substitute the value of r into the equation.
Substituting r:
0.9c + 1.89(-10/21)c = 17.01
0.9c - 1.89(10/21)c = 17.01
0.9c - 0.9c = 17.01
0c = 17.01, which is not possible.To solve the equation 0.9c - 1.89r = 17.01 where r = -10/21c, we can substitute the value of r into the equation:
0.9c - 1.89 * (-10/21)c = 17.01
Simplifying the equation:
0.9c + 1.8c = 17.01
2.7c = 17.01
Dividing both sides by 2.7:
c = 17.01/2.7
c ≈ 6.3
Therefore, the value of c is approximately 6.3, which corresponds to option d. c = 6.