Nokea
Simplify the expression (2(3 + 5 - 3)) / (12 + 2). Which of the following is correct?
- A. 6
- B. 8
- C. 12
- D. 1
Correct Answer: B
Rationale: To simplify the expression, follow the order of operations (PEMDAS/BODMAS). First, solve the subtraction inside the parentheses: 5 - 3 = 2. Then, simplify the expression to get (2(3 + 2)) / 14 = (2(5)) / 14 = 10 / 14 = 5 / 7 ≈ 0.71. Since 8 is the closest whole number to 0.71, the correct answer is B, 8.
You may also like to solve these questions
When a person increases cycling speed, the rate of calories burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?
- A. Speed
- B. Energy
- C. Distance
- D. Calories
Correct Answer: A
Rationale: In the context of this scenario, the independent variable is the factor that is deliberately altered or controlled to observe its impact on other variables. When a person adjusts their cycling speed, it directly influences the rate of calories burned, distance traveled, and energy expended. Speed is the independent variable because it is manipulated to study its effects on the dependent variables - calories burned, distance traveled, and energy expended. Therefore, the correct answer is 'Speed.'
Based on the table showing healthcare spending per capita in a group of African nations, which country experienced the greatest change in dollars spent per capita from 2013 to 2015?
- A. Eritrea 2013 ($56), 2015 ($42)
- B. Nigeria 2013 ($16), 2015 ($21)
- C. Tanzania 2013 ($68), 2015 ($8)
- D. Kenya 2013 ($81), 2015 ($88)
Correct Answer: C
Rationale: To determine the country with the most significant change in healthcare spending per capita, we calculate the difference between the spending in 2015 and 2013 for each country. In the case of Tanzania, the expenditure decreased from $68 in 2013 to $8 in 2015, indicating the largest drop in dollars spent per capita among the options provided. Therefore, the correct answer is C, Tanzania.
A board is 12.3 m long. Which of the following is the length of the board in centimeters?
- A. 1230 cm
- B. 0.123 cm
- C. 12300 cm
- D. 12.3 cm
Correct Answer: A
Rationale: To convert meters to centimeters, multiply by 100. Thus, 12.3 m × 100 = 1230 cm.
Which of the following weights is equivalent to 3.193 kilograms?
- A. 3,193 grams
- B. 3,193,000 grams
- C. 319.3 grams
- D. 0.003193 grams
Correct Answer: C
Rationale: To convert kilograms to grams, you multiply by 1000. Therefore, 3.193 kilograms is equivalent to 319.3 grams. When converting from kilograms to grams, the decimal point is moved three places to the right to get the equivalent weight in grams. In this case, 3.193 kilograms, when converted to grams, becomes 319.3 grams.
A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?
- A. $451
- B. $527
- C. $316
- D. $431
Correct Answer: A
Rationale: To find the original price, start by letting x represent the original price. The sale price is 30% less than x, which means it is 70% of x (100% - 30% = 70%). After the additional 25% off coupon, the consumer pays 75% of the sale price (100% - 25% = 75%). Setting up the equation: 0.75 * 0.7 * x = $237. Solving for x gives x = $451, which is the original price of the recliner.