Yes, Lord Vader !
2/3 x + 5 = 1/2
Multiply each side by 2 : 4/3 x + 10 = 1
Multiply each side by 3 : 4 x + 30 = 3 <== equivalent equation
without fractions
Subtract 30 from each side: 4x = -27
Divide each side by 4 : x = -27/4 = -6.75
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Average number of arrivals = 6 per hour
Service rate = 3 every 15 minutes
Service rate is given by

So, the average number of customers in the system is given by

Hence, Option 'c' is correct.
Student's error is –5 < x.
Solution:
Step 1: Given inequality
31 < –5x + 6
Step 2: Subtract 6 from both sides of the inequality.
31 – 6 < –5x + 6 – 6
25 < –5x
Step 3: Multiply both sides by –1 to reverse the inequality.
25 × (–1) > –5x × (–1)
–25 > 5x
Step 4: Divide by 5 on both sides.
–5 > x
The correct answer is –5 > x.
Student's error is –5 < x.
Answer:
x = 6
Step-by-step explanation:
they are parallel so they are equal so
19x + 6 = 21x - 6
19x +12 = 21x
12 = 2x
x = 6