Simplify 3x - 5 + 12x - 4x + 14 to 11x + 9
11x + 9 = 86
Subtract 9 from both sides
11x = 86 - 9
Simplify 86 - 9 to 77
11x = 77
Divide both sides by 11
x = 77/11
Simplify 77/11 to 7
<u>x = 7</u>
The answers are 1) D. 43 items and 2) B. 58 seconds.
Step-by-step explanation:
Step 1; An experienced cashier takes a time of 2 seconds per item and another 40 seconds for processing the customer's payment. So if it took 2 minutes 6 seconds which equals ( 2× 60 ) + 6 = 126 seconds for a customer. Out of these 126 seconds, the last 40 seconds were to process the customer's payment so 126 seconds - 40 seconds = 86 seconds. So it took 86 seconds to scan the items and as it takes 2 seconds per item we divide 86 by 2 to get the number of items. So 86 / 2 = 43 items which is option D.
Step 2; Anna brought 31 items and due to some glitch, the total time took 2 minutes. So for 31 items, it took the cashier 31 × 2 = 62 seconds, 1 minute 2 seconds. So out of the 2 minutes, 1 minute 2 seconds were used to scan the items. So the remaining time was 2 minutes (120 seconds) - 1 minute 2 seconds (62 seconds) = 58 seconds which was the processing time. So option B is the answer.
You have 2x oranges and you add 5 more but you still have 23 apples more than oranges
