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.

Correct Answer: C

Rationale: The correct order of operations dictates solving division and multiplication before addition and subtraction. Therefore, following the order: (12 · 3) 4 - 1 + 23 = 4 4 - 1 + 23 = 16 - 1 + 23 = 38. Choice A (6) results from adding and subtracting before division and multiplication. Choice B (21) results from incorrect placement of parentheses. Choice D (23) is the last number in the expression and does not reflect the cumulative result of the operations.

Correct Answer: C

Rationale: In this question, the babies' measured weight in a study of the average weight of babies at different time intervals after birth is considered a dependent variable. The dependent variable is the one being measured and tested in an experiment; its value depends on other factors being studied. In this context, the babies' measured weight changes based on the time intervals after birth, making it dependent on the time factor. Option A) Independent is incorrect because the time intervals after birth are influencing the babies' weight, so it is not independent. Option B) Control is incorrect because a control variable is a factor held constant to test the effect of the independent variable. In this case, the babies' weight is not a control variable. Option D) Constant is incorrect because the babies' measured weight is not staying the same but is changing based on the time intervals after birth. Understanding variables in research is crucial for students preparing for the TEAS exam as it helps them comprehend experimental design, data analysis, and drawing conclusions. Recognizing the dependent variable in a study is essential for understanding how changes in other factors affect the outcome being measured. This question reinforces the importance of identifying variables correctly in research scenarios, a skill that is fundamental in science and healthcare fields.

Correct Answer: A

Rationale: The ratio 4:3 implies that for every 4 oz of yogurt, there are 3 oz of toppings. To find the amount of yogurt when the friend has 4.5 oz of toppings, we use the proportion: (4/3) 4.5 = 6 oz. Therefore, the amount of yogurt in their dessert is 6 oz. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given ratio.

Correct Answer: C

Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 87.5% as a decimal is 0.875. Choice A (875) is incorrect as it represents the percentage without converting to a decimal. Choice B (8,750) is incorrect as it represents the percentage in whole numbers without decimal conversion. Choice D (8.75) is incorrect as it represents 875% instead of 87.5%.