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QuestionDUE Nov 15 - 11:59 pm 02100701 MATHEMATICS 6 -9: Ratio Reasoning: Convert Metric Units Not Started 35−9: Virtual Nerdre: What 3^{5-9: \text { Virtual Nerdre: What }} in Progress in progress MathXL for School: In Progress 2 5-9: Lesson Qulz are the Metric Units of ... are the Metric Units of...
Choose all of the conversions that are true for the capacity of the pitcher of lemonade. Click the icon to view the metric units of capacity. A. 0.34 kL B. 3,400 mL3,400 \mathrm{~mL} C. 0.0034 KL D. 0.034 kL E. 34 mL clear all F. 340 mL
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Studdy Solution

STEP 1

1. We need to determine which conversions are true for the capacity of the pitcher of lemonade.
2. We assume that the conversions involve metric units of capacity.
3. We need to convert between kiloliters (kL), liters (L), and milliliters (mL).

STEP 2

1. Understand metric unit conversions.
2. Convert each option to a common unit.
3. Verify the correctness of each conversion.

STEP 3

Understand the basic metric conversions: - 1 kL=1,000 L1 \text{ kL} = 1,000 \text{ L} - 1 L=1,000 mL1 \text{ L} = 1,000 \text{ mL} - Therefore, 1 kL=1,000,000 mL1 \text{ kL} = 1,000,000 \text{ mL}

STEP 4

Convert each option to milliliters (mL) for comparison:
A. 0.34 kL=0.34×1,000,000 mL=340,000 mL0.34 \text{ kL} = 0.34 \times 1,000,000 \text{ mL} = 340,000 \text{ mL}
B. 3,400 mL3,400 \text{ mL} (already in mL)
C. 0.0034 KL=0.0034×1,000,000 mL=3,400 mL0.0034 \text{ KL} = 0.0034 \times 1,000,000 \text{ mL} = 3,400 \text{ mL}
D. 0.034 kL=0.034×1,000,000 mL=34,000 mL0.034 \text{ kL} = 0.034 \times 1,000,000 \text{ mL} = 34,000 \text{ mL}
E. 34 mL34 \text{ mL} (already in mL)
F. 340 mL340 \text{ mL} (already in mL)

STEP 5

Verify the correctness of each conversion:
- A. 340,000 mL340,000 \text{ mL} is not equivalent to any other option. - B. 3,400 mL3,400 \text{ mL} matches C. - C. 3,400 mL3,400 \text{ mL} matches B. - D. 34,000 mL34,000 \text{ mL} is not equivalent to any other option. - E. 34 mL34 \text{ mL} is not equivalent to any other option. - F. 340 mL340 \text{ mL} is not equivalent to any other option.
The true conversions for the capacity of the pitcher of lemonade are:
B and C\boxed{B \text{ and } C}

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