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Julia has 
$5.00 to spend on lemons. Lemons cost 
$0.59 each, and there is no tax on the purchase. Which of the following inequalities can be used to represent 
x, the number of lemons Julia can buy?
Choose 1 answer:
(A) 
(x)/( 0.59) >= 5
(B) 
(x)/( 0.59) <= 5
(C) 
0.59 x >= 5
(D) 
0.59 x <= 5

Julia has $5.00 \$ 5.00 to spend on lemons. Lemons cost $0.59 \$ 0.59 each, and there is no tax on the purchase. Which of the following inequalities can be used to represent x x , the number of lemons Julia can buy?\newlineChoose 11 answer:\newline(A) x0.595 \frac{x}{0.59} \geq 5 \newline(B) x0.595 \frac{x}{0.59} \leq 5 \newline(C) 0.59x5 0.59 x \geq 5 \newline(D) 0.59x5 0.59 x \leq 5

Full solution

Q. Julia has $5.00 \$ 5.00 to spend on lemons. Lemons cost $0.59 \$ 0.59 each, and there is no tax on the purchase. Which of the following inequalities can be used to represent x x , the number of lemons Julia can buy?\newlineChoose 11 answer:\newline(A) x0.595 \frac{x}{0.59} \geq 5 \newline(B) x0.595 \frac{x}{0.59} \leq 5 \newline(C) 0.59x5 0.59 x \geq 5 \newline(D) 0.59x5 0.59 x \leq 5
  1. Julia's Budget: Julia has $5.00\$5.00 to spend on lemons, and each lemon costs $0.59\$0.59. We need to find an inequality that represents the number of lemons, xx, that Julia can buy with her $5.00\$5.00.
  2. Finding the Maximum Number of Lemons: To find out how many lemons Julia can buy, we need to divide the total amount of money she has by the cost of one lemon. This will give us the maximum number of lemons she can purchase.
  3. Inequality Representation: The inequality that represents this situation is 0.59x50.59x \leq 5, where xx is the number of lemons. This inequality states that the total cost of the lemons (0.590.59 times the number of lemons) should be less than or equal to the amount of money Julia has ($\$\(5\).\(00\)).
  4. Matching the Inequality: Now we check the options given to see which one matches our inequality:\(\newline\)(A) \(\frac{x}{0.59} \geq 5\) is incorrect because it suggests that the number of lemons divided by the cost per lemon should be greater than or equal to \(5\), which does not make sense in this context.\(\newline\)(B) \(\frac{x}{0.59} \leq 5\) is incorrect because it suggests that the number of lemons divided by the cost per lemon should be less than or equal to \(5\), which is also not correct.\(\newline\)(C) \(0.59x \geq 5\) is incorrect because it suggests that the total cost should be greater than or equal to \(\$5.00\), which would mean Julia could spend more than she has.\(\newline\)(D) \(0.59x \leq 5\) is correct because it represents the situation where the total cost of \(x\) lemons at \(\$0.59\) each is less than or equal to the \(\$5.00\) Julia has to spend.

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