There are 800 students enrolled in four allied health programs at a local community college. The percentage of students in each program is displayed in the pie chart. What is the number of students enrolled in the respiratory care program?

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ATI TEAS 7

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Question 1 of 5

There are 800 students enrolled in four allied health programs at a local community college. The percentage of students in each program is displayed in the pie chart. What is the number of students enrolled in the respiratory care program?

Correct Answer: B

Rationale: To find the number of students enrolled in the respiratory care program, you need to calculate 19% of 800. 19% of 800 is (19/100) * 800 = 152 students. Therefore, the correct answer is B. Choice A (336), Choice C (144), and Choice D (168) are incorrect as they do not represent the correct percentage of students enrolled in the respiratory care program as indicated by the pie chart.

Question 2 of 5

A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer's friend paid for their car. Which of the following is the amount that the friend paid for their car?

Correct Answer: C

Rationale: To find the amount the friend paid, you can set up the equation 2x - 2000 = 48000, where x represents the amount the friend paid. Solving this equation gives x = $25,000. Therefore, the friend paid $25,000. Choice A ($23,000) is incorrect because it does not account for the $2,000 difference mentioned in the question. Choice B ($46,000) is incorrect because it is double the amount needed. Choice D ($50,000) is incorrect as it does not consider the $2,000 less mentioned in the question.

Question 3 of 5

A soccer field is rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of area often used to measure larger areas. Given that 1 hectare = 10,000 square meters, which of the following represents the soccer field's area in hectares?

Correct Answer: A

Rationale: To find the area of the soccer field, multiply its length by its width: 100 meters 75 meters = 7500 square meters. To convert this to hectares, divide by 10,000 (since 1 hectare = 10,000 square meters), resulting in 0.75 hectares. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not correctly convert the area to hectares. B and C are off by a factor of 10, while D is off by a factor of 10,000.

Question 4 of 5

A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?

Correct Answer: D

Rationale: The percentage of blue gumballs is 35% (100% - 20% - 30% - 5% - 10% = 35%). If there are 120 gumballs, 35% of that is 42 blue gumballs. Since 5% are yellow gumballs, which is 6 gumballs, the difference between 42 blue gumballs and 6 yellow gumballs is 36 more blue gumballs. Therefore, the correct answer is 36. Choice A (48) is incorrect as it miscalculates the difference. Choice B (30) is incorrect as it does not consider the correct percentage of blue gumballs. Choice C (42) is incorrect as it miscalculates the difference between blue and yellow gumballs.

Question 5 of 5

What is the least common denominator for the fractions below? 1/2, 2/3, 4/5

Correct Answer: A

Rationale: To find the least common denominator for fractions 1/2, 2/3, and 4/5, we need to identify the least common multiple of the denominators. The denominators are 2, 3, and 5. The least common multiple of 2, 3, and 5 is 30. Therefore, 30 is the least common denominator for these fractions. Choice B (25), C (7), and D (19) are incorrect because they are not the least common multiple of the denominators of the given fractions.

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