Nokea
Solve for X: X/4 = 9/X
- A. 6
- B. 8
- C. 12
- D. 18
Correct Answer: A
Rationale: To solve the equation X/4 = 9/X, cross multiply to obtain X * X = 9 * 4, which simplifies to X² = 36. Taking the square root of both sides results in X = ±6. However, in this context, X represents a positive value since negative values are not applicable in the division given. Therefore, the positive root, X = 6, is the correct solution.
You may also like to solve these questions
How many meters are in 2 kilometers?
- A. 2000 meters
- B. 0.002 meters
- C. 20 meters
- D. 0.2 meters
Correct Answer: A
Rationale: To convert kilometers to meters, you need to multiply by 1000 because there are 1000 meters in 1 kilometer. Therefore, 2 kilometers is equal to 2 x 1000 = 2000 meters. The correct answer is 2000 meters. This conversion is a fundamental mathematical operation used across different fields, such as science, engineering, and day-to-day measurements, to accurately convert between larger and smaller units of length.
Multiply 4/9 x 1 4/5 x 2/5
- A. 8/25
- B. 1 & 10/19
- C. 7/16
- D. 1 & 32/45
Correct Answer: A
Rationale: To multiply the given fractions, first convert the mixed numbers to improper fractions. 1 4/5 = (5*1 + 4)/5 = 9/5. Now the expression becomes 4/9 * 9/5 * 2/5. Multiply the numerators together and the denominators together to get (4*9*2)/(9*5*5) = 72/225. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 9, to get 8/25. Therefore, the correct answer is 8/25.
What is the result of dividing 32 by 8/9?
- A. 36
- B. 4&1/9
- C. 28&4/9
- D. 4
Correct Answer: A
Rationale: To divide by a fraction, you multiply by its reciprocal. In this case, dividing 32 by 8/9 is the same as multiplying 32 by 9/8 (reciprocal of 8/9). Calculate 32 * 9/8 to get 36, which is the correct result. Therefore, the correct answer is A: 36. So, the correct answer is 36.
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.
A dairy farmer wants to measure the milk production of his cows. He determines that the herd has produced a total of 250 gallons of milk this morning. How many quarts is this? (Enter numeric value only.)
- A. 500
- B. 750
- C. 1000
- D. 1250
Correct Answer: C
Rationale: The correct answer is C: 1000 quarts. To convert gallons to quarts, you need to know that 1 gallon is equal to 4 quarts. Therefore, to convert 250 gallons to quarts, you would multiply 250 by 4, which equals 1000 quarts. Choice A (500 quarts), B (750 quarts), and D (1250 quarts) are incorrect because they do not correctly convert the given amount of gallons to quarts. Be sure to always remember the conversion factor of 1 gallon to 4 quarts when solving such conversion problems.