ATI TEAS 7 Math Version 5 Questions

Explanation

<h2>The nurse should administer 154 milligrams of medication.</h2> To determine the correct dosage, the patient's weight in pounds must be converted to kilograms. The weight of 170 pounds is approximately 77.11 kilograms (170 pounds × 0.454 kg/pound). Multiplying this weight by the dosage of 2 mg/kg results in about 154.22 milligrams, which rounds to 154 milligrams. <b>A) 77 milligrams</b> This choice is incorrect because it does not reflect the correct conversion of the patient's weight from pounds to kilograms or the proper calculation of the dosage. The dosage calculation must be based on the patient's total weight in kilograms, which is significantly higher. <b>B) 374 milligrams</b> This option is incorrect as it results from an incorrect assumption about the patient's weight or a miscalculation of the dosage. The correct conversion and multiplication do not yield this amount, indicating a fundamental miscalculation in determining the required dosage. <b>C) 154 milligrams</b> This is the correct choice. The calculation starts with converting 170 pounds to approximately 77.11 kilograms. Multiplying this by 2 mg/kg gives the proper dosage of about 154 milligrams after rounding. <b>D) 187 milligrams</b> This choice is incorrect as it suggests a higher dosage than necessary. It likely stems from a miscalculation in converting the weight or in calculating the required dosage based on the conversion to kilograms. <b>Conclusion</b> The correct administration of medication relies on accurately converting weight from pounds to kilograms and applying the prescribed dosage. In this scenario, the proper calculations confirm that the nurse should administer 154 milligrams based on the patient's weight of 170 pounds. Other options did not adhere to the proper conversion or dosage calculation, underscoring the importance of accuracy in medical dosing.

Explanation

<h2>The car travels 52.5 miles in 1 hour and 45 minutes.</h2> To find the distance traveled, we first convert 1 hour and 45 minutes into hours, which equals 1.75 hours. Multiplying the constant speed of 30 miles per hour by the time of 1.75 hours gives us the total distance traveled: 30 miles/hour × 1.75 hours = 52.5 miles. <b>A) 43.5 miles</b> This option suggests that the car would travel 43.5 miles in the given time, but this is incorrect. At a speed of 30 miles per hour for 1.75 hours, the actual distance is higher than 43.5 miles, indicating a miscalculation in the time or speed. <b>B) 30 miles</b> This answer reflects the distance the car would travel in just 1 hour at 30 miles per hour. However, since the car is traveling for 1 hour and 45 minutes, which is more than 1 hour, the total distance covered must be greater than 30 miles. <b>C) 52.5 miles</b> This is the correct choice, as calculated by multiplying the speed of the car (30 miles per hour) by the total time traveled (1.75 hours). The result is 52.5 miles, accurately representing the distance covered. <b>D) 60 miles</b> This option implies that the car would travel 60 miles in the given time, which would only be possible if the car traveled at a speed greater than 30 miles per hour for the entire duration. At 30 miles per hour, the car cannot cover this distance in 1 hour and 45 minutes. <b>Conclusion</b> To determine the distance traveled by the car, it is essential to convert the time into hours and apply the formula: distance = speed × time. The calculation shows that the car travels 52.5 miles in 1 hour and 45 minutes, making option C the only accurate choice among the alternatives presented.

Explanation

<h2>2.5 pounds best approximates the weight of the oranges.</h2> The scale indicates that the bowl of oranges is pointing between 1 and 2 pounds, suggesting a weight closer to 2.5 pounds, particularly when considering the typical weight range for a bowl of 5-6 oranges. <b>A) 0.5 pounds</b> This weight is significantly lower than what is suggested by the scale. A bowl containing 5-6 oranges would not weigh only 0.5 pounds, as individual oranges generally weigh around 0.1 to 0.3 pounds each. <b>B) 1 pound</b> While 1 pound falls within the lower range indicated by the scale, it does not represent a realistic approximation for the weight of the oranges. Given the number of oranges in the bowl, their combined weight is likely greater than just 1 pound. <b>C) 2.5 pounds</b> This choice accurately reflects the approximate weight based on the visible indication of the scale. Considering the average weight of the oranges and their quantity, 2.5 pounds is a reasonable estimate and aligns well with the scale's reading. <b>D) 2 pounds</b> Although 2 pounds is a plausible estimate, it underrepresents the weight of the oranges. Since the scale points between 1 and 2 pounds, 2.5 pounds is the more precise approximation for the total weight. <b>Conclusion</b> The weight of the oranges is best approximated at 2.5 pounds, as indicated by the scale's reading. Other choices either underestimate the weight or fail to account for the typical weight range of the oranges. Accurate estimation requires considering both the scale's indication and the number of oranges present, confirming that 2.5 pounds is the most appropriate choice.

Explanation

<h2>6/15 < 4/8 < 6/10</h2> To determine the correct relationship between the fractions 6/15, 4/8, and 6/10, we can convert them to their decimal forms: 6/15 = 0.4, 4/8 = 0.5, and 6/10 = 0.6. This shows that 6/15 is the smallest, followed by 4/8, and finally 6/10 as the largest. <b>A) 6/10 < 4/8 < 6/15</b> This inequality incorrectly suggests that 6/10 is less than both 4/8 and 6/15. However, as established, 6/10 equals 0.6, which is greater than both 4/8 (0.5) and 6/15 (0.4). <b>B) 6/15 < 4/8 < 6/10</b> This choice accurately represents the order of the fractions when converted to decimal form, confirming that 6/15 is indeed the smallest, followed by 4/8, and then 6/10 as the largest. <b>C) 4/8 < 6/15 < 6/10</b> This option misplaces the order by claiming 4/8 is less than 6/15. Since 4/8 (0.5) is greater than 6/15 (0.4), this inequality does not hold true. <b>D) 6/15 < 6/10 < 4/8</b> This choice mistakenly suggests that 6/10 is less than 4/8. However, 6/10 (0.6) is greater than 4/8 (0.5), making this inequality inaccurate. <b>Conclusion</b> The correct ordering of the fractions 6/15, 4/8, and 6/10 is clearly represented by the inequality 6/15 < 4/8 < 6/10. This conclusion is supported by converting the fractions to decimal form, establishing their relative sizes accurately. Understanding these relationships among fractions is essential in mathematics, especially when comparing values.

Explanation

<h2>0.05 is equivalent to 5%</h2> To convert a decimal to a percentage, you multiply by 100. Therefore, 0.05 multiplied by 100 equals 5%, making this the correct answer. <b>A) 0.50%</b> This choice represents a decimal value of 0.005, which is obtained by dividing 0.50 by 100. Thus, 0.50% is not equivalent to 0.05, as it denotes a much smaller value. <b>B) 0.00%</b> This option indicates a complete absence of value, representing a decimal of 0.00. Since 0.05 is a positive number, it cannot be equivalent to 0.00%, which signifies zero. <b>C) 5%</b> This choice accurately reflects the conversion of the decimal 0.05 into a percentage. By multiplying 0.05 by 100, we find that it equals 5%, making this the correct answer. <b>D) 0.01%</b> This percentage corresponds to a decimal of 0.0001, which is much smaller than 0.05. Therefore, 0.01% does not represent the same value as 0.05. <b>Conclusion</b> The conversion from decimal to percentage is straightforward: multiply the decimal by 100. In this case, 0.05 correctly converts to 5%, while the other options represent either smaller values or zero, thus confirming that only 5% is equivalent to 0.05. Understanding this conversion is essential for various mathematical and financial applications.