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Solve for y if y = 3: 4y + 21/y
- A. 7.7
- B. 23/3
- C. 19
- D. 11
Correct Answer: C
Rationale: To find the value of the expression when y = 3, substitute y = 3 into the expression: 4(3) + 21/3. This simplifies to 12 + 7 = 19. Therefore, the correct answer is C, which is 19.
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What is the result of subtracting 9 from 28.19?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To find the result of subtracting 9 from 28.19, you need to subtract 9 from 28.19. The calculation is 28.19 - 9 = 19.19. Therefore, the correct answer is D, 19.19. When subtracting a whole number from a decimal number, it is essential to align the decimal points and perform the subtraction correctly. In this case, the 9 is subtracted from the 0.19, resulting in the final answer of 19.19. It's crucial to pay attention to place value and the position of the decimal point to ensure the accuracy of the result.
What temperature in Fahrenheit is 50°C? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 150°F
- B. 122°F
- C. 120°F
- D. 145°F
Correct Answer: B
Rationale: To convert Celsius to Fahrenheit, use the formula: F = (C x 9/5) + 32. Substituting 50 for C gives: F = (50 x 9/5) + 32 = 90 + 32 = 122°F. Therefore, 50°C is equal to 122°F. The correct answer is B.
To ride a certain amusement park attraction, a person must be 48 inches tall. How many feet tall must a person be to meet this requirement? (Enter a numeric value only.)
- A. 4
- B. 5
- C. 6
- D. 3
Correct Answer: A
Rationale: To convert inches to feet, you need to divide by 12 because there are 12 inches in a foot. Therefore, 48 inches · 12 = 4 feet. Hence, the correct answer is A) 4 feet.
What is the result of dividing 40.3 by 4.8?
- A. 0.84
- B. 0.084
- C. 8.4
- D. 84
Correct Answer: C
Rationale: To find the result of dividing 40.3 by 4.8, perform the division: 40.3 · 4.8 = 8.39583333... Rounded, this is approximately 8.4. Therefore, the correct answer is 8.4. When dividing decimal numbers, remember to align the decimal points and perform the division as you would with whole numbers. In this case, the correct answer is 8.4.
Compare the relationships of these numbers: 0.25 is _______ to 25%.
- A. equal
- B. greater
- C. less
- D. not comparable
Correct Answer: A
Rationale: 0.25 is equivalent to 25% because they represent the same value in different forms. 0.25 is the decimal representation of 25% (0.25 = 25/100), making them equal in value. When comparing these two numbers, they are not greater or lesser than each other; they are exactly the same amount, just expressed differently. Therefore, the correct answer is 'equal' as 0.25 and 25% are essentially the same numeric value in different formats, demonstrating an equal relationship between them.