The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
A: A = x(x + 5)
B: A = 2x + 2(x + 5)
C: A = x(x + 5)
D: A = 5x
Correct Answer: C
Rationale: To find the area of a rectangle, you multiply its length by its width. Here, the length is x + 5, and the width is x. Multiplying these values gives the correct equation A = x(x + 5), which represents the area of the room.
Question 2:
In a local community college, there are 800 students enrolled in four allied programs as shown in the pie chart. What is the number of students enrolled in the respiratory care program?
A: 336
B: 168
C: 152
D: 144
Correct Answer: C
Rationale: To find the number of students in the respiratory care program, calculate 19% of 800 (total number of students). 19% of 800 is 0.19 * 800 = 152. Therefore, 152 students are enrolled in the respiratory care program.
Question 3:
A baker is using a cookie recipe that calls for 2 whole and 1/4 cup of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
A: 6 1/4 cups
B: 4 3/4 cups
C: 5 5/8 cups
D: 10 1/8 cups
Correct Answer: C
Rationale: To find out how much flour is needed for 90 cookies, first, determine how much flour is needed per cookie in the original recipe. The original recipe calls for 2 1/4 cups of flour to yield 36 cookies. To find the amount per cookie, divide the total amount of flour by the number of cookies: (2 1/4) / 36 = 1/16 cups per cookie. Now, multiply the amount per cookie by the new number of cookies: (1/16) * 90 = 5 5/8 cups. Therefore, the baker will need 5 5/8 cups of flour to make 90 cookies using the same recipe.
Question 4:
What is the equivalent in pounds of 50 kg? (1 kg = 2.2 lb)
A: 110 lb
B: 52.2 lb
C: 22.7 lb
D: 220 lb
Correct Answer: A
Rationale: To convert kilograms to pounds, you multiply by the conversion factor 2.2 (1 kg = 2.2 lb). Therefore, 50 kg * 2.2 lb/kg = 110 lb. The correct answer is A, as 50 kg is equivalent to 110 lb.
Question 5:
A temporary gauge reads 95°F. Which of the following is the correct conversion to degrees Celsius ( Note: °C = 5/9 (°F = 32))
A: 21° C
B: 113° C
C: 63° C
D: 35° C
Correct Answer: D
Rationale:
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