HESI A2 Math

Correct Answer: A

Rationale: To determine the number of cakes he can bake, first, find how many cakes can be baked per cup of sugar (4 cakes/10 cups = 0.4 cakes/cup). Since the bag is half full, he has 15 cups of sugar (30 cups/2). So, he can bake 6 cakes (0.4 cakes/cup * 15 cups = 6 cakes). Therefore, the correct answer is A: 6 cakes. The other choices are incorrect because they do not align with the calculations based on the given information.

Correct Answer: A

Rationale: To calculate the distance traveled, multiply the speed (60 mph) by the time (2.5 hours): 60 mph * 2.5 hours = 150 miles. Therefore, the correct answer is B. Choice A (120 miles) is incorrect as it is lower than the correct calculation. Choices C (180 miles) and D (170 miles) are incorrect as they are higher than the actual distance traveled.

Correct Answer: A

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total distance covered. In this case, 2,274 calories ÷ 21.6 miles = 105.28 calories per mile (rounded to two decimal places), which matches option A. This calculation is based on the fundamental concept of division, where the total calories are distributed evenly over the total distance. Choices B, C, and D are incorrect as they do not match the calculated rate. This question tests basic division skills and understanding of calculating rates.

Correct Answer: A

Rationale: To find the time for 4 workers to build 3 play sets, we use the formula: Time = (Total work) / (Rate of work). Given 2 workers take 18 hours to build 1 play set, their combined rate is 1/18 play set per hour. For 4 workers, the rate is 4 times faster, so it's 4/18 play sets per hour. To build 3 play sets, the total work is 3. Thus, Time = 3 / (4/18) = 27 hours. Choice A is correct. Choices B, C, and D are incorrect as they do not account for the increased efficiency of having more workers.

Correct Answer: B

Rationale: To solve the expression (x+44)/2x when x=11: 1. Substitute x=11: (11+44)/2*11 2. Simplify: (55)/22 = 2.5 Therefore, the correct answer is B. Other choices are incorrect because they do not correctly simplify the expression given x=11. Choice A simplifies it incorrectly, choice C and D do not simplify it at all.