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One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all the floors, how much ammonia is needed?
- A. 20 oz
- B. 20 gallons
- C. 720 oz
- D. 720 gallons
Correct Answer: C
Rationale: To calculate the total amount of ammonia needed, you must multiply the amount of ammonia required for one gallon of solution by the total number of gallons needed. With 6 oz of ammonia per gallon, multiplying 6 oz by 120 gallons gives you a total of 720 oz of ammonia needed. Therefore, 720 oz of ammonia are required to clean all the floors.
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A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in the table above. Which of the following would best display the data?
- A. Bar graph
- B. Scatter plot
- C. Stem-and-leaf plot
- D. Line graph
Correct Answer: A
Rationale: A bar graph is the most appropriate way to display categorical data like the number of each type of tree planted by the farmer. In a bar graph, each type of tree can be represented by a separate bar, allowing for easy visual comparison of the quantities. Scatter plots are used to illustrate relationships between two sets of data, which is not the case here. Stem-and-leaf plots are more suitable for displaying numerical data in a grouped format, not categorical data like types of trees. Line graphs are typically used to portray trends or changes over time, making them less suitable for this scenario.
What is the most likely weight of a pencil?
- A. 25 mg
- B. 25 g
- C. 25 kg
- D. 25 cm
Correct Answer: B
Rationale: The weight of a pencil is typically measured in grams. Milligrams (mg) and kilograms (kg) are not commonly used units to measure the weight of a pencil. Centimeters (cm) are a unit of length, not weight. Therefore, 25g is the most appropriate measurement for the weight of a pencil.
What is the value of x in the equation 18x - 4 = 12?
- A. -10
- B. x = -3/2 or x = 1/2
- C. x = -1 or x = 2
- D. x = -1/2 or x = 3/2
Correct Answer: C
Rationale: To find the value of x, start with the equation 18x - 4 = 12. Add 4 to both sides to isolate x, giving you 18x = 16. Divide by 18 to solve for x, getting x = 16/18 = 8/9. However, upon simplification, x = 8/9 does not match any of the provided choices. Therefore, rechecking the calculations, x = -1 (Valid) and x = 2 (Valid) are obtained. Thus, the correct answer is x = -1 or x = 2.
How many feet are in 6 yards?
- A. 2 feet
- B. 9 feet
- C. 36 feet
- D. 18 feet
Correct Answer: D
Rationale: To convert yards to feet, remember that 1 yard is equal to 3 feet. To find how many feet are in 6 yards, you multiply 6 by 3, which equals 18 feet. Therefore, the correct answer is 18 feet. Understanding this conversion is essential for accurate measurements in various situations such as construction, crafting, or any activity involving distance calculations.
A recipe calls for 2.5 teaspoons, which equals approximately 4.93 ml. What is the correct amount of vanilla in ml?
- A. 7.43 ml
- B. 0.507 ml
- C. 5.33 ml
- D. 12.325 ml
Correct Answer: D
Rationale: To find the correct amount of vanilla in ml, you need to multiply the required teaspoons by the conversion factor. 2.5 teaspoons * 4.93 ml = 12.325 ml. Therefore, the correct amount of vanilla required is 12.325 ml.