Kwame's uncle is seventeen less than three times Kwame's age. Which of the following equations represents Kwame's uncle's age (u) as it relates to Kwame's age (k)?
A: u = 3k - 17
B: u = 4k - 17
C: u = 3k - 18
D: u = 3k - 11
Correct Answer: A
Rationale: To represent Kwame's uncle's age (u) as it relates to Kwame's age (k), we need to set up the equation based on the given information. The sentence 'Kwame's uncle is seventeen less than three times Kwame's age' can be translated to u = 3k - 17, where u represents the age of Kwame's uncle and k represents Kwame's age. Therefore, the correct equation is u = 3k - 17, making choice A the correct answer.
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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