Which of the following situations corresponds to the equation below?
1/3x + 8 = 18 2/3
Keneda is packing some suitcases to take on a cruise. The cruise line allows each guest to bring up to three pieces of luggage with a limit on total weight. So far, she has packed pounds worth of items. She can add 8 more pounds to her luggage to be at the cruise lines maximum allowable weight for lugguage, x. What is the maximum allowable weight, x?
Carmello is building a bridge out of balsa wood for a physics contest. His bridge already fits the dimensions needed for the contest and currently weighs ounces. He has 3 pieces of balsa wood with a combined weight of 8 ounces that can be cut and added to the bridge as support beams to reach the contests maximum allowable weight, x. What is the maximum allowable weight, x?
Jesse gives piano lessons in the evenings for 20 minutes each. To be able to make her monthly car payment, she needs to give a total of hours worth of lessons each month. If she have already given 8 hours worth of lessons this month, how many more lessons, x, does Jesse need to give?
Brenton has entered a mozzarella stick eating contest. Each order of mozzarella sticks contains 3 sticks. The record for the contest is orders in the time allotted. If he has already eaten 8 orders, how many more mozzarella sticks, x, does he need to eat to tie the record?
Myron has been practicing throwing a football through a tire at 8 yards. His coach asked him to move back so he is throwing at a distance of yards. How many feet, x, does Myron need to move back?
The situation that corresponds to the equation 1/3x + 8 = 18 2/3 is the situation described in the first paragraph: "Keneda is packing some suitcases to take on a cruise. The cruise line allows each guest to bring up to three pieces of luggage with a limit on total weight. So far, she has packed pounds worth of items. She can add 8 more pounds to her luggage to be at the cruise line's maximum allowable weight for luggage, x. What is the maximum allowable weight, x?"
The equation given is 1/3x + 8 = 18 2/3. We need to determine which of the given situations corresponds to this equation.
To solve the equation, we can follow these steps:
Step 1: Subtract 8 from both sides of the equation to isolate the term with x:
1/3x + 8 - 8 = 18 2/3 - 8
1/3x = 10 2/3
Step 2: To eliminate the fraction, we can multiply both sides of the equation by the reciprocal of 1/3, which is 3/1 (or simply 3):
(3/1) * (1/3x) = (3/1) * (10 2/3)
x = 31 2/3
Now, let's analyze each situation to determine the corresponding equation:
1. Keneda's luggage weight:
The equation 1/3x + 8 = 18 2/3 doesn't involve luggage weight. Therefore, this situation does not correspond to the given equation.
2. Carmello's balsa wood bridge weight:
The equation 1/3x + 8 = 18 2/3 doesn't involve balsa wood bridge weight. Therefore, this situation does not correspond to the given equation.
3. Jesse's piano lessons:
The equation 1/3x + 8 = 18 2/3 doesn't involve piano lessons time. Therefore, this situation does not correspond to the given equation.
4. Brenton's mozzarella stick eating contest:
The equation 1/3x + 8 = 18 2/3 doesn't involve mozzarella stick orders. Therefore, this situation does not correspond to the given equation.
5. Myron's football throwing distance:
The equation 1/3x + 8 = 18 2/3 corresponds to Myron's situation. Here, x represents the distance Myron needs to move back in yards, and 31 2/3 represents the desired distance of 18 yards.
Thus, the situation that corresponds to the equation 1/3x + 8 = 18 2/3 is Myron needing to move back in yards by a certain distance, x.
what is the answer
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