Question

A doctor has 12 clients assigned to them. Of these clients, nine will be discharged today. What percentage of the clients will not be discharged today? (If necessary, round to the nearest whole number.)

Answer 1

Correct Answers:

25%

Rationale :

📊 The total number of clients is 12, and 9 are being discharged today.

📊 Therefore, 12 − 9 = 3 clients will not be discharged.

📊 The percentage is calculated as (3 ÷ 12) × 100 = 25%.

57%

📊 This is incorrect because it overestimates the percentage of remaining clients.

📊 It does not match the correct calculation.

75%

📊 This represents the percentage being discharged, not those remaining.

📊 It is the complement of the correct answer.

43%

📊 This is an arbitrary percentage and does not correspond to the calculation.

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Answer 2

Correct Answers:

T=(0.9)160X+25

Rationale :

💰 Each bedding unit costs $160, and a 10% discount means 90% of the price is paid, which is 0.9 × 160.

💰 For X units, the total discounted cost is 0.9 × 160 × X.

💰 Shipping is a fixed cost of $25, which is added to the total.

💰 The total cost equation is therefore T = (0.9)(160)X + 25.

T = (-0.1)160X + 25

💰 This incorrectly represents a negative discount, which is not applicable.

💰 It does not reflect actual cost calculation.

T = (0.9)160X + 25X

💰 Adding 25X incorrectly treats shipping as per unit rather than a flat rate.

💰 Shipping is a fixed cost of $25.

T = (0.1)160X + 25

💰 This calculates only the discount amount, not the total cost.

💰 It does not reflect the actual payment.

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Answer 3

Correct Answers:

y = 3

Rationale :

✍️Start with the equation 5y − 9 = 2y.

✍️Subtract 2y from both sides: 3y − 9 = 0.

✍️Add 9 to both sides: 3y = 9.

✍️Divide both sides by 3: y = 3.

y = -3

✍️Incorrect sign from miscalculation.

✍️This does not satisfy the original equation.

y = 27

✍️Overestimation due to multiplication error.

✍️It is not the solution.

y = -27

✍️Incorrect negative value and magnitude.

✍️Does not satisfy 5y − 9 = 2y.

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Answer 4

Correct Answers:

24.4 kg

Rationale :

🏗️ The original measurement is 24.375 kg.

🏗️ Rounding to the nearest tenth place requires looking at the hundredth digit (7).

🏗️ Since 7 ≥ 5, round up the tenth digit from 3 to 4.

🏗️ Therefore, the rounded weight is 24.4 kg.

24.38 kg

🏗️ This rounds to the hundredth place, not the tenth.

🏗️ It is less standard in reporting materials.

24.3 kg

🏗️ This rounds down incorrectly, ignoring the hundredth digit.

🏗️ It underestimates the required material.

24.37 kg

🏗️ Retains three decimal places, not nearest tenth.

🏗️ Overly precise for standard use.

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Answer 5

Correct Answers:

44%

Rationale :

🐾 Number of people with at least one pet = 11

🐾Total surveyed = 25.

🐾 Percentage = (11 ÷ 25) × 100 = 44%.

14%

🐾 Incorrect calculation; underestimates proportion.

🐾 Not reflective of survey data.

36%

🐾 Incorrect division and rounding error.

🐾 Does not represent true percentage.

11%

🐾 Too small; likely misinterpretation of raw numbers.

🐾 Does not reflect 11 out of 25.

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Answer 6

Correct Answers:

17m

Rationale :

📐 Use the Pythagorean theorem for the diagonal: √(length² + width²).

📐 Diagonal = √(15² + 9²) = √(225 + 81) = √306 ≈ 17.49 m.

📐 Rounded to the nearest meter = 17 m.

18 m

📐 Slight overestimate due to rounding without calculation.

📐 Not precise.

24 m

📐 Overestimation; does not follow Pythagorean theorem.

📐 Not accurate.

12 m

📐 Underestimation; ignores length contribution.

📐 Incorrect diagonal.

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Answer 7

Correct Answers:

61

Rationale :

⛽ Convert liters to gallons using 1 gallon = 3.78 L.

⛽ Gallons = 231 ÷ 3.78 ≈ 61.1 gallons.

⛽ Round to nearest whole number = 61 gallons.

873

⛽ Overestimation; likely multiplied incorrectly.

⛽ Not realistic.

227

⛽ Underestimation; calculation error.

⛽ Does not reflect correct conversion.

77

⛽ Slight overestimation; rounding error from approximate calculation.

⛽ Not precise.

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Answer 8

Correct Answers:

160 Tbsp

Rationale :

🥄 1 pint = 16 fluid ounces

🥄5 pints = 5 × 16 = 80 fl oz.

🥄 1 fl oz = 2 Tbsp, so 80 × 2 = 160 Tbsp.

80 Tbsp

🥄 Only accounts for 1 fl oz per Tbsp; incorrect.

🥄 Underestimates total.

192 Tbsp

🥄 Overestimation; possibly using 24 fl oz per pint.

🥄 Incorrect formula.

32 Tbsp

🥄 Significant underestimation; calculation error.

🥄 Not reflective of 5 pints.

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Answer 9

Correct Answers:

85 minutes

Rationale :

⏱️ The first task takes 1 hour, of which one-fourth is completed, so 3/4 of the first task remains = 45 minutes.

⏱️ The second task takes 1 hour, of which one-third is completed, so 2/3 remains = 40 minutes.

⏱️ Total remaining time = 45 + 40 = 85 minutes.

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Answer 10

Correct Answers:

12.9

Rationale :

🔢 Convert 12 6/7 to decimal: 6 ÷ 7 ≈ 0.857.

🔢 So, 12 6/7 ≈ 12.857.

🔢 Rounded to the nearest tenth, check the hundredths digit: 5 → round up.

🔢 Therefore, 12.857 rounds to 12.9.

12.85

🔢 Retains too many decimals; not rounded to nearest tenth.

🔢 Not standard rounding.

12.8

🔢 Incorrect rounding; hundredths digit (5) requires rounding up.

🔢 Does not match proper rounding rules.

12.86

🔢 Incorrect hundredths digit handling; exceeds correct tenth rounding.

🔢 Not consistent with rounding rules.

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QLexNursing

1 :
A doctor has 12 clients assigned to them. Of these clients, nine will be discharged today. What percentage of the clients will not be discharged today? (If necessary, round to the nearest whole number.)

2 :
A large hospital is buying bedding that costs $160 for each unit. Bedding is currently discounted 10%, and shipping is $25 per order. Which of the following is an equation for the total cost 7 of buying X units of bedding?

3 :
Which of the following is the solution to the equation below? 5y - 9 = 2y

4 :
A concrete mixture requires 24.375 kilograms (kg) of concrete mix. Rounded to the nearest tenth, which of the following is the amount of concrete mix required?

5 :
In a survey of 25 people, 11 people had at least one pet. Which of the following is the percent of people from the survey who have at least one pet?

6 :
A rectangular garden has a length of 15 meters (m) and a width of 9 meters. There is a walking path that cuts diagonally across the garden from one corner to the opposite corner. Which of the following is the length of the walking path in meters? (If necessary, round to the nearest meter.)

7 :
A truck driver filled her gasoline tank with 231 liters of gasoline. Which of the following is the appropriate estimate of the amount of gasoline she put in the gasoline tank in gallons? (Note: 1 gallon = 3.78 liters)

8 :
A bucket has 5 pints (pt) of a liquid. Which of the following equals the amount of the liquid in tablespoons (Tbsp)? Note: 1 pt 16 fluid ounces and 1 fluid ounce = 2 Tbsp

9 :
A student has two tasks to complete, each of which will take 1 hour. They have completed one-fourth of their first task and one-third of their second task. How much longer will it take them to complete both tasks?

10 :
Which of the following decimals is equivalent to 12 6/7 rounded to the nearest tenth?

QLexNursing

1 : A doctor has 12 clients assigned to them. Of these clients, nine will be discharged today. What percentage of the clients will not be discharged today? (If necessary, round to the nearest whole number.)

2 : A large hospital is buying bedding that costs $160 for each unit. Bedding is currently discounted 10%, and shipping is $25 per order. Which of the following is an equation for the total cost 7 of buying X units of bedding?

3 : Which of the following is the solution to the equation below? 5y - 9 = 2y

4 : A concrete mixture requires 24.375 kilograms (kg) of concrete mix. Rounded to the nearest tenth, which of the following is the amount of concrete mix required?

5 : In a survey of 25 people, 11 people had at least one pet. Which of the following is the percent of people from the survey who have at least one pet?

6 : A rectangular garden has a length of 15 meters (m) and a width of 9 meters. There is a walking path that cuts diagonally across the garden from one corner to the opposite corner. Which of the following is the length of the walking path in meters? (If necessary, round to the nearest meter.)

7 : A truck driver filled her gasoline tank with 231 liters of gasoline. Which of the following is the appropriate estimate of the amount of gasoline she put in the gasoline tank in gallons? (Note: 1 gallon = 3.78 liters)

8 : A bucket has 5 pints (pt) of a liquid. Which of the following equals the amount of the liquid in tablespoons (Tbsp)? Note: 1 pt 16 fluid ounces and 1 fluid ounce = 2 Tbsp

9 : A student has two tasks to complete, each of which will take 1 hour. They have completed one-fourth of their first task and one-third of their second task. How much longer will it take them to complete both tasks?

10 : Which of the following decimals is equivalent to 12 6/7 rounded to the nearest tenth?

1 :
A doctor has 12 clients assigned to them. Of these clients, nine will be discharged today. What percentage of the clients will not be discharged today? (If necessary, round to the nearest whole number.)

2 :
A large hospital is buying bedding that costs $160 for each unit. Bedding is currently discounted 10%, and shipping is $25 per order. Which of the following is an equation for the total cost 7 of buying X units of bedding?

3 :
Which of the following is the solution to the equation below? 5y - 9 = 2y

4 :
A concrete mixture requires 24.375 kilograms (kg) of concrete mix. Rounded to the nearest tenth, which of the following is the amount of concrete mix required?

5 :
In a survey of 25 people, 11 people had at least one pet. Which of the following is the percent of people from the survey who have at least one pet?

6 :
A rectangular garden has a length of 15 meters (m) and a width of 9 meters. There is a walking path that cuts diagonally across the garden from one corner to the opposite corner. Which of the following is the length of the walking path in meters? (If necessary, round to the nearest meter.)

7 :
A truck driver filled her gasoline tank with 231 liters of gasoline. Which of the following is the appropriate estimate of the amount of gasoline she put in the gasoline tank in gallons? (Note: 1 gallon = 3.78 liters)

8 :
A bucket has 5 pints (pt) of a liquid. Which of the following equals the amount of the liquid in tablespoons (Tbsp)? Note: 1 pt 16 fluid ounces and 1 fluid ounce = 2 Tbsp

9 :
A student has two tasks to complete, each of which will take 1 hour. They have completed one-fourth of their first task and one-third of their second task. How much longer will it take them to complete both tasks?

10 :
Which of the following decimals is equivalent to 12 6/7 rounded to the nearest tenth?