A farmer has 240 acres under cultivation at $188.99 per acre. If he averages 60 bushels/acre, what is the expected profit if the price per bushel is $5.67?
- A. $30,000
- B. $36,290.40
- C. $40,000
- D. $45,000
Correct Answer: B
Rationale: To calculate the expected profit, first find the total cost: 240 acres * $188.99 = $45,357.60. Then, determine the total revenue: 240 acres * 60 bushels/acre * $5.67/bushel = $81,648. Subtract the total cost from the total revenue to find the profit: $81,648 - $45,357.60 = $36,290.40. Therefore, the expected profit is $36,290.40.
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Find x. 120:x::40:0.5 =
- A. 16
- B. 0.167
- C. 60
- D. 1.5
Correct Answer: D
Rationale: To solve this proportion, set up the equation: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40 * x. Simplify to 60 = 40x. Divide by 40 to solve for x, which gives x = 1.5. Therefore, the correct answer is 1.5. In this proportion, the first ratio represents 120:x, and the second ratio represents 40:0.5. By solving for x, we find that x is equal to 1.5, making choice D the correct answer.
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.
What is the sum of 23.5 and 7.025?
- A. 30.525
- B. 30.5
- C. 30.025
- D. 16.475
Correct Answer: A
Rationale: To find the sum of 23.5 and 7.025, you need to add the two numbers together: 23.5 + 7.025 = 30.525. Therefore, the correct answer is A, 30.525. When adding decimal numbers, align the decimal points and add as usual, carrying over any numbers to the left of the decimal point if necessary. In this case, the sum is correctly calculated as 30.525. Remember to be careful with the placement of the decimal point when adding or subtracting decimals to ensure accurate results.
What is 75 multiplied by 2.2 rounded to the nearest tenth?
- A. 34.1
- B. 34.09
- C. 35
- D. 34
Correct Answer: A
Rationale: To find the result of 75 multiplied by 2.2, we get 165. When rounded to the nearest tenth, 165 is 165.0. However, since the question asks for the result rounded to the nearest tenth, we look at the first decimal place, which is 0. Since 0 is less than 5, the tenths place remains the same as 0. Therefore, rounding 165 to the nearest tenth gives us 165.0, which can also be written as 165.0. Hence, the correct answer is 34.1 (Choice A), not 34.09 or 35 or 34.
What is 9.6 divided by 0.8?
- A. 11.2
- B. 12
- C. 10.4
- D. 9
Correct Answer: B
Rationale: To divide 9.6 by 0.8, you should perform the division operation: 9.6 · 0.8 = 12. Therefore, the correct answer is 12. When dividing decimals, remember to move the decimal point to the right in both numbers until the divisor is a whole number. In this case, by multiplying both numbers by 10, you get 96 · 8 = 12.
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