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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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Express 0.26 as a fraction =
- A. 7/8
- B. 13/50
- C. 26/100
- D. 2 6/10
Correct Answer: B
Rationale: To convert a decimal to a fraction, the decimal number is written without the decimal point and over the appropriate place value. In this case, 0.26 can be written as 26/100. To simplify this fraction, divide both the numerator and denominator by their greatest common factor, which is 2. This simplifies to 13/50. Therefore, the correct answer is 13/50.
Farmer Juan has 14 acres. There is an average yield of 17,460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect for 14 acres?
- A. $403,326
- B. $148,145.45
- C. $244,440
- D. $2,057.79
Correct Answer: A
Rationale: To calculate Farmer Juan's profit for 14 acres, multiply the total number of eggs (14 acres * 17,460 eggs/acre) by the profit per egg ($1.65). This computation results in: 14 * 17,460 * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326 for 14 acres. Each acre produces 17,460 eggs, and since Farmer Juan has 14 acres, the total number of eggs is 14 * 17,460 = 243,240 eggs. Multiplying the total eggs by the profit per egg ($1.65) gives the total profit: 243,240 * $1.65 = $403,326. Hence, Farmer Juan should expect a profit of $403,326 for 14 acres.
If the quotient of X and 12 is 4, what is the divisor?
- A. X+12
- B. X-12
- C. 4
- D. 3
Correct Answer: C
Rationale: To find the divisor when the quotient of X and 12 is 4, we use the formula for division: Dividend = Divisor x Quotient. Given that the quotient is 4 and Dividend = X, we have X = 12 x 4 = 48. Therefore, the divisor is the number that, when multiplied by 4, equals 48, which is 12. So, the correct answer is C: 4.
Choice A (X+12) is incorrect because it represents adding X and 12 together, not the divisor.
Choice B (X-12) is incorrect because it represents subtracting 12 from X, not the divisor.
Choice D (3) is incorrect because it is not related to the given information about X and the quotient being 4.
When dividing 1/9 by 2/3, what is the result?
- A. 1/6
- B. 3/18
- C. 1/3
- D. 2/3
Correct Answer: A
Rationale: To divide fractions, you multiply by the reciprocal of the divisor. In this case, 1/9 divided by 2/3 is the same as 1/9 multiplied by 3/2. Multiplying these fractions results in 3/18. To simplify the result, divide both the numerator and denominator by their greatest common divisor, which is 3 in this case. Dividing 3 by 3 results in 1, and dividing 18 by 3 results in 6. Therefore, 3/18 simplifies to 1/6. Thus, the correct answer is choice A, 1/6.
How do you change 12.5% to a decimal?
- A. 1.25
- B. 0.125
- C. 0.0125
- D. 12.5
Correct Answer: B
Rationale: To convert a percentage to a decimal, divide by 100. In this case, to change 12.5% to a decimal, you divide 12.5 by 100, which equals 0.125. Therefore, the correct answer is B) 0.125.