Party trays, which cost $14.00 to make not including labor, are sold for $35.00. If two people work 8-hour shifts making the trays at $7.00 per hour, how many trays must be sold to cover all costs including labor? Answer: 5.33 trays must be sold to cover all costs including labor..
Question:
A grocery store has 120 bottles of spring water in stock. The store orders bottles of spring water in cases of 24. The store wants to order enough cases of spring water so it has more than 500 bottles in stock. Which inequality best models this situation?
A. 24x + 120 > 500
B. 24x - 120 > 500
C. 24x + 500 > 120
D. 24(x+120) > 500
Answer:
Option A. 24x + 120 > 500 is the inequality that best models this situation.
Step-by-step explanation:
The Number of bottles of spring water in the stock = 120
Each case of the spring water bottles contains 24 bottles
The store wants to order enough cases of spring water so that it has over 500 bottles in stock.
So there are already 120 bottles in stock .
The store will order
24x +120 > 500
where x is the number of spring water bottle cases
Answer:
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Step-by-step explanation:
2x² - 4x = 14
<u>Divide by 2 through:</u>
x² - 2x = 7
<u>Add in the term (b/2)² :</u>
x² - 2x + (2/2)² = 7 + (2/2)²
<u>Complete the square:</u>
(x - 1)² = 7 + 1
<u>Combine like terms:</u>
(x - 1)² = 8
Answer: (x - 1)² = 8
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The question did not ask to solve x. But here is the solution if needed to solve x:
(x - 1)² = 8
x - 1 = ±√8
x = 1 ±√+8
x =1 + 2√2 or x = 1 - 2√2
Answer: x =1 + 2√2 or x = 1 - 2√2
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