HESI A2
HESI A2 Quizlet Math
1. In a survey, 120 people were asked if they could swim. If 85% said they could, how many people could swim?
- A. 100
- B. 102
- C. 110
- D. 90
Correct answer: B
Rationale: To find the number of people who could swim, multiply the total number surveyed by the percentage who said they could swim. In this case, 85% of 120 people is calculated as 0.85 * 120, resulting in 102 people who could swim. Choice A (100) is incorrect because this does not account for the percentage that said they could swim. Choice C (110) is incorrect as it is above the total number surveyed. Choice D (90) is incorrect as it does not consider the percentage who said they could swim.
2. Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?
- A. 3.6 cups
- B. 4 cups
- C. 4.6 cups
- D. 4.8 cups
Correct answer: B
Rationale: For every 3 parts of beans, Gus needs 5 parts of ground beef. This means the ratio of beans to beef is 3:5. If Gus is using 8 cups of ground beef, the total parts would be 3 parts beans to 5 parts beef, which is a total of 8 parts. To find out how many cups of beans Gus needs, we can set up a proportion: 3/5 = x/8. Cross multiplying gives us 5x = 24. Solving for x, we get x = 4. Therefore, Gus will need 4 cups of beans. Choice A, C, and D are incorrect as they do not align with the correct proportion calculation.
3. If the outside temperature is 59 degrees on the Fahrenheit scale, what is the approximate temperature on the Celsius scale?
- A. −9°C
- B. 15°C
- C. 23°C
- D. 87°C
Correct answer: B
Rationale: To convert Fahrenheit to Celsius, you can use the formula: °C = (°F - 32) x 5/9. Substituting the Fahrenheit temperature of 59 degrees into the formula: °C = (59 - 32) x 5/9 = 27 x 5/9 = 135/9 = 15. Therefore, the approximate temperature on the Celsius scale is 15°C. Choice A is incorrect as it represents a negative temperature which is not the case here. Choice C and D are also incorrect as they do not match the calculated conversion from Fahrenheit to Celsius.
4. Find the value of x in the ratio and proportion 18:x=10:300.
- A. 16
- B. 180
- C. 30
- D. 540
Correct answer: D
Rationale: To find the value of x, cross multiply in the ratio 18:x=10:300. This gives 18 * 300 = 10 * x. Solving for x, x = 540. Therefore, the correct answer is D. Choice A (16), Choice B (180), and Choice C (30) are incorrect because they do not satisfy the proportion equation 18:x=10:300 when cross multiplied.
5. A team from the highway department can replace 14 streetlights in 7 hours of work. If they work a 30-hour week at this job, in how many weeks will they replace all 120 downtown streetlights?
- A. 1½ weeks
- B. 2 weeks
- C. 2½ weeks
- D. 3 weeks
Correct answer: B
Rationale: If the team can replace 14 streetlights in 7 hours, it means they replace 2 streetlights per hour. In a 30-hour week, they can therefore replace 2 x 30 = 60 streetlights. To replace all 120 downtown streetlights, they will need 120 / 2 = 60 hours, which is equivalent to 60 / 30 = 2 weeks. Therefore, the correct answer is 2 weeks. Choice A, 1½ weeks, is incorrect because it doesn't consider the total number of streetlights that need to be replaced. Choice C, 2½ weeks, is incorrect as it overestimates the time needed. Choice D, 3 weeks, is incorrect as it underestimates the efficiency of the team in replacing streetlights.
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