Nokea
A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
- A. 18 times as many
- B. 5 times as many
- C. 20 times as many
- D. 10 times as many
Correct Answer: A
Rationale: Let p be the number of pennies. Quarters = 2p, Nickels = 4p, Dimes = 5 * 4p = 20p. So, Dimes - Quarters = 20p - 2p = 18p. The child has 18 times more dimes than quarters.
You may also like to solve these questions
Translate the phrase 'Five less than twice the number' into a mathematical expression.
- A. 5x-2
- B. 2x-5
- C. 2-5x
- D. 5-2x
Correct Answer: B
Rationale: To translate 'Five less than twice the number' into a mathematical expression, you first calculate twice the number (2x) and then subtract 5 from it. This gives you 2x-5. Therefore, choice B, 2x-5, accurately represents the mathematical expression for 'Five less than twice the number.' The phrase 'Five less than' implies subtraction, and 'twice the number' is represented by 2x. Thus, when you subtract 5 from twice the number, the correct expression is 2x-5.
A temperature gauge reads 95F. Which of the following is the correct conversion to degrees Celsius? (Note: C = 5/9[F - 32])
- A. 113C
- B. 63C
- C. 35C
- D. 21C
Correct Answer: C
Rationale: To convert F to C, use the formula: C = 5/9(95 - 32) = 5/9(63) = 35C.
Solve the equation 2(4x + 3) = 7x + 5 for x. Which of the following is correct?
- A. -1
- B. 1
- C. 11
- D. 2
Correct Answer: A
Rationale: To solve the equation, first distribute the 2 on the left side: 8x + 6 = 7x + 5. Next, move all terms involving x to one side by subtracting 7x from both sides: x + 6 = 5. Then, subtract 6 from both sides to isolate x: x = -1. Therefore, the correct answer is A, -1, as it satisfies the equation 2(4*(-1) + 3) = 7*(-1) + 5. Substituting x = -1 back into the original equation gives 2(4*(-1) + 3) = 7*(-1) + 5, which simplifies to -2 + 6 = -7 + 5, and finally to 4 = -2, proving that -1 is indeed the correct solution.
Which of the following expressions has the greatest value?
- A. 34 + 96
- B. 0.372
- C. 03-Aug
- D. 37%
Correct Answer: A
Rationale: To determine the greatest value among the given expressions, we need to evaluate each one. When we calculate 34 + 96, the result is 130. Option B is a decimal less than 1, option C is in date format, and option D is a percentage. Comparing the values obtained, 130 (option A) is greater than 0.372, 03-Aug, and 37%. Therefore, the correct answer is A since it has the greatest value, which is 130.
Simplify the expression [2(3 + 5 × 3)] / (12 ÷ 2)
- A. 12
- B. 1
- C. 8
- D. 6
Correct Answer: D
Rationale: To simplify: Calculate 5 × 3 = 15; then 3 + 15 = 18. So, 2 × 18 = 36. Then, 12 ÷ 2 = 6. Finally, 36 ÷ 6 = 6.