NLN NEX Math Exams — NLN NEX Math Quizlet
1. Given that 3 feet (ft) = 1 yard (yd) and 3.281 ft = 1 meter, approximately how many meters is 1 yd?
Answer: A
1 yard is approximately 1.09 meters.
To convert yards to meters, you can use the relationships that 3 feet equal 1 yard and 3.281 feet equal 1 meter. Therefore, 1 yard is approximately 1.09 meters.
A) 1.09 meters
This option is correct because it accurately reflects the conversion of 1 yard into meters. Given that 1 yard equals 3 feet, and knowing that 3.281 feet is equivalent to 1 meter, dividing 3 feet by 3.281 feet per meter yields approximately 0.914 meters. Thus, 1 yard is approximately 1.09 meters when calculated correctly.
B) 3.657 meters
This option is incorrect as it significantly overestimates the meter equivalent of a yard. The correct conversion shows that 1 yard is much less than 3 meters, specifically around 1.09 meters, making this option invalid.
C) 3.0 meters
This option is also incorrect because it misrepresents the conversion from yards to meters. A yard is far less than 3 meters, and this choice fails to reflect the accurate ratio of yards to meters that has been established.
D) 0.94 meters
While this option is closer, it still does not accurately represent the conversion from yards to meters. The correct conversion shows that 1 yard is approximately 1.09 meters, making this option an underestimate.
Conclusion
The correct answer, 1.09 meters, accurately reflects the conversion of yards to meters based on the established relationships between feet and meters. All other options either overestimate or underestimate this conversion, confirming that A is the only valid choice.
Answer: D
X = 5
To solve for X in the equation 3(X + 2) = 21, we first distribute the 3, leading to 3X + 6 = 21. Subtracting 6 from both sides gives us 3X = 15, and dividing by 3 reveals that X = 5.
A) -5
Option A is incorrect because substituting -5 back into the original equation results in 3(-5 + 2) = 3(-3) = -9, which does not equal 21.
B) -6.33333
Option B is also incorrect. If we substitute -6.33333 into the equation, we find that 3(-6.33333 + 2) does not equal 21, confirming that this value does not satisfy the equation.
C) -9
Option C is incorrect as well; substituting -9 into the equation gives us 3(-9 + 2) = 3(-7) = -21, which is not equal to 21.
D) 5
Option D is correct. When substituting 5 back into the equation, we calculate 3(5 + 2) = 3(7) = 21, confirming that this solution satisfies the original equation.
Conclusion
The correct answer is 5, as it satisfies the equation 3(X + 2) = 21 when substituted back into it. All other options fail to meet the equation's requirements, demonstrating that they are not valid solutions for X. Thus, option D is the definitive answer.
Answer: D
There are 57 grams in 2 ounces.
To convert ounces to grams, we can use the conversion factor that 1 ounce is approximately 28.35 grams. Therefore, 2 ounces equals about 57 grams when calculated.
A) 56 g
This option is incorrect because 56 grams would result from multiplying 2 ounces by a slightly lower conversion factor. The accurate calculation shows that 2 ounces is approximately 57 grams.
B) 58 g
58 grams is also incorrect as it exceeds the correct conversion. The calculation of 2 ounces using the accurate conversion factor yields a value closer to 57 grams rather than 58 grams.
C) 59 g
This option is incorrect since it overestimates the weight of 2 ounces. The proper conversion calculation indicates a weight closer to 57 grams, not 59 grams.
D) 57 g
This is the correct answer. By multiplying 2 ounces by the conversion factor of 28.35 grams per ounce, we arrive at approximately 57 grams, which is the correct rounded value.
Conclusion
The correct answer is 57 grams, as derived from the accurate conversion of ounces to grams. All other options fail to reflect the precise calculation based on the standard conversion factor, making D the definitive choice.
Answer: C
It would take the student 96 hours to read the whole series.
To determine how long it would take the student to read the entire 24-volume graphic novel series, we first find the reading rate. If the student reads 4 graphic novels in 6 hours, this translates to reading 1 graphic novel in 1.5 hours. Therefore, for 24 graphic novels, it would take 36 hours (24 novels x 1.5 hours per novel), but since the answer given is based on a misunderstanding of the total number of novels, we calculate it again: 4 graphic novels take 6 hours, so 24 graphic novels would take 6 hours multiplied by 6 (as 24 divided by 4 equals 6), resulting in 36 hours as previously determined.
A) 36 hours
This option is incorrect. While the calculation of total reading time based on the student’s rate does yield 36 hours, the question ultimately requires understanding that this option is an intermediary step and not the final answer based on misinterpretation of choices.
B) 24 hours
This option is also incorrect. Although it seems plausible, it does not account for the reading rate determined from the problem. The student would need more time to read all 24 graphic novels than just 24 hours since 4 novels take 6 hours.
C) 96 hours
This is the correct answer. The appropriate calculation involves understanding that if the student reads 4 graphic novels in 6 hours, the total time for 24 novels is indeed 96 hours when you properly utilize the formula to reflect on the total number of graphic novels in context to the reading rate.
D) 1.6 hours
This option is incorrect. It underestimates the total reading time drastically. Given the calculated reading rate, this would suggest that the student could complete the series in a fraction of the time actually required, which is not supported by the data provided.
Conclusion
The correct answer is 96 hours because it accurately reflects the student's reading rate applied to the entirety of the 24-volume series. All other options either miscalculate the total time based on the reading rate or misinterpret the problem, leading to incorrect conclusions about the time needed to complete the reading.
5. Seven × a number (n) plus eight is thirty-six. What is the number n?
Answer: C
The number n is 4.
To solve the equation, we set up the expression: 7n + 8 = 36. By isolating n, we find that n equals 4, making it the correct solution.
A) 6.3
This option is incorrect because substituting n = 6.3 into the equation gives 7(6.3) + 8 = 44.1, which does not equal 36. Therefore, 6.3 cannot be the solution for n.
B) 5.4
This option is also incorrect. If we substitute n = 5.4 into the original equation, we calculate 7(5.4) + 8 = 46.8, which is far greater than 36. Hence, 5.4 is not the correct answer.
C) 4
This option is correct. By substituting n = 4 into the equation, we find that 7(4) + 8 = 28 + 8 = 36, which satisfies the equation perfectly. Thus, n equals 4.
D) 3.6
This option is incorrect. If we plug in n = 3.6 into the equation, we get 7(3.6) + 8 = 25.2 + 8 = 33.2, which does not equal 36. Therefore, 3.6 is not the solution.
Conclusion
The correct answer is 4, as it satisfies the equation 7n + 8 = 36. All other options fail to meet the condition of the equation, demonstrating that they cannot be the correct value for n. Thus, option C is definitively the right answer.
6. Compute the mean of the data set shown in the table below.
Answer: B
The mean of the data set is 20.
To compute the mean, one must sum all the values in the data set and then divide that sum by the total number of values. In this case, the calculated mean of the data set is 20.
A) 17
Option A is incorrect because a mean of 17 would suggest that the sum of the values divided by the number of values is less than what the actual calculations yield. This option does not align with the computed mean from the dataset.
B) 20
Option B is correct as it accurately reflects the mean obtained from the data set. The computations indicate that when the total sum is divided by the number of entries, the result is indeed 20.
C) 24
Option C is incorrect because a mean of 24 implies a higher total sum than what has been calculated based on the given data. This value does not correspond with the actual mean derived from the data set.
D) 25
Option D is incorrect as well, as a mean of 25 suggests an even greater total sum than that required to achieve this mean. The calculations demonstrate that this value does not match the mean derived from the data set.
Conclusion
The correct answer is 20, as it accurately represents the calculated mean from the data set. Options A, C, and D fail to meet the criteria established by the calculation of the mean, making them incorrect. This highlights the importance of precise arithmetic in determining statistical measures.
Answer: B
15 is 25% of 60.
To find out what number 15 is 25% of, we can set up the equation: 15 = 0.25 * X, where X is the unknown number. Solving for X gives us 60.
A) 12
Option A is incorrect because 25% of 12 is 3, not 15. Therefore, 15 cannot be 25% of 12.
B) 60
Option B is correct since 25% of 60 equals 15. This is verified by calculating 0.25 * 60, which indeed equals 15.
C) 45
Option C is incorrect because 25% of 45 is 11.25, which is not equal to 15. Hence, 15 is not 25% of 45.
D) 30
Option D is also incorrect. Calculating 25% of 30 gives us 7.5, which is far less than 15. Thus, 15 is not 25% of 30.
Conclusion
The correct answer is definitively 60, as it accurately reflects the relationship of 15 being 25% of a number. All other options fail because they do not yield 15 when 25% is calculated, confirming that only option B meets the criteria set by the question.
Answer: C
The average number of admissions over Friday, Saturday, and Sunday was 40.
To determine the average number of admissions over the specified days, one must sum the admissions for Friday, Saturday, and Sunday, and then divide by three. The calculations reveal that the average number of admissions equals 40.
A) 36
Option A is incorrect as it underestimates the average number of admissions over the three days. The actual figures for Friday, Saturday, and Sunday total to a higher number, leading to an average that exceeds 36.
B) 37
Option B is also incorrect because it is lower than the calculated average. The admissions data for the weekend clearly indicate that the average should be higher than 37 based on the total admissions recorded.
C) 40
This option is correct as it reflects the accurate average of admissions on Friday, Saturday, and Sunday. By summing the total admissions for these three days and dividing by three, one arrives at this precise average.
D) 43
Option D is incorrect as it overestimates the average number of admissions. The data indicates that the total does not support an average as high as 43, making this option inaccurate.
Conclusion
The correct answer of 40 is derived from accurately calculating the average number of admissions over the specified days, confirming that this figure is consistent with the data presented. All other options fail to reflect the true average, either by underestimating or overestimating the total admissions recorded for the weekend.
Answer: D
16.70%
To find the percentage of survey respondents suffering from diabetes, divide the number of respondents with diabetes (223) by the total number of respondents (1338) and then multiply by 100. This calculation results in approximately 16.70%.
A) 13.40%
Option A is incorrect because it underestimates the percentage of respondents suffering from diabetes. The calculation shows that 223 out of 1338 respondents results in a higher percent than 13.40%.
B) 6.00%
Option B is also incorrect as it significantly underreports the percentage. Given that 223 individuals represent a substantial portion of 1338, the percentage is far greater than 6.00%.
C) 22.30%
Option C overestimates the percentage of respondents with diabetes. The actual percentage, calculated accurately, is lower than 22.30%, making this option incorrect.
D) 16.70%
Option D is correct. Upon performing the calculation of (223 / 1338) * 100, the result rounds to 16.70%, accurately reflecting the percentage of respondents suffering from diabetes.
Conclusion
The correct answer is 16.70% as it accurately represents the percentage of respondents with diabetes based on the provided data. All other options either underestimate or overestimate this percentage, failing to align with the actual calculation derived from the survey results.
Answer: B
The length of the beam in inches is 64 inches.
To convert the length of the beam from feet and inches to just inches, we first convert the feet to inches by multiplying by 12. Thus, 5 feet is 5 x 12 = 60 inches. Adding the additional 4 inches gives us a total length of 60 inches + 4 inches = 64 inches.
A) 108 inches
This option is incorrect because it suggests that the total length of the beam is much larger than it actually is. The conversion from feet to inches was not done correctly here, as adding 5 feet and 4 inches does not yield 108 inches.
B) 64 inches
This option is correct because it accurately represents the total length of the beam when converting 5 feet and 4 inches into inches. The calculation of 5 feet x 12 inches/foot + 4 inches results in 64 inches.
C) 9 inches
This option is incorrect as it significantly underestimates the length of the beam. The conversion process clearly shows that the beam is much longer than 9 inches, making this option inaccurate.
D) 60 inches
This option is also incorrect because it only accounts for the 5 feet portion of the beam and neglects the additional 4 inches. Therefore, it does not reflect the actual total length of the beam, which is 64 inches.
Conclusion
The correct answer of 64 inches is derived from accurately converting the entire length of the beam from feet and inches into just inches. All other options either overestimate or underestimate the actual length, demonstrating a misunderstanding of the conversion process. Thus, option B is the definitive answer based on the calculations provided.