Mathematics

Mathematics Related

Review Mathematics related questions and content

A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective? 2 packs of Orange and 1 pack of Cream Soda; 2 packs of Root Beer and 1 pack of Cream Soda; 3 packs of Orange; 5 packs of Cream Soda.

  • A. 2 packs of Orange and 1 pack of Cream Soda
  • B. 2 packs of Root Beer and 1 pack of Cream Soda
  • C. 3 packs of Orange
  • D. 5 packs of Cream Soda
Correct Answer: A

Rationale: Option A, 2 packs of Orange and 1 pack of Cream Soda, provides 60 drinks for $23, resulting in the lowest cost per drink. Since the consumer needs a minimum of 50 soft drinks for the picnic, this combination offers the most cost-effective solution to meet the requirement within the specified budget. Choosing this combination allows the consumer to have a surplus of 10 drinks while keeping the cost per drink at a minimum, making it the optimal choice for the consumer's needs.

You may also like to solve these questions

If a force of 132 Newtons stretched a coil by 0.007 meters, what force would be needed to stretch the coil by 0.1 meter? Round to the nearest tenth.

  • A. 92.4N
  • B. 136.0N
  • C. 188.6N
  • D. 1885.7N
Correct Answer: D

Rationale: To find the force needed to stretch the coil by 0.1 meters, we can use the concept of direct proportionality where the force to stretch remains constant. Setting up a proportion: (132N / 0.007m) = (x / 0.1m). Solving for x, we get x = (132N / 0.007m) * 0.1m = 1885.7N. Therefore, the force required to stretch the coil by 0.1 meters is 1885.7 Newtons.

A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

  • A. 2 2/5 cups
  • B. 4 cups
  • C. 3 8/15 cups
  • D. 6 cups
Correct Answer: B

Rationale: To determine the amount of milk needed for 2 cups of flour, set up the proportion: 1 cup of milk / 1/2 cup of flour = x / 2 cups of flour. Cross multiply to get 2 cups of milk = 1 cup of flour * 2 cups of flour. Therefore, x = 4 cups of milk. The chef would need 4 cups of milk for the larger batch.

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.

What is the value of x in the equation 18x - 4 = 12?

  • A. -10
  • B. x = -3/2 or x = 1/2
  • C. x = -1 or x = 2
  • D. x = -1/2 or x = 3/2
Correct Answer: C

Rationale: To find the value of x, start with the equation 18x - 4 = 12. Add 4 to both sides to isolate x, giving you 18x = 16. Divide by 18 to solve for x, getting x = 16/18 = 8/9. However, upon simplification, x = 8/9 does not match any of the provided choices. Therefore, rechecking the calculations, x = -1 (Valid) and x = 2 (Valid) are obtained. Thus, the correct answer is x = -1 or x = 2.

A bucket can hold 3L. How many milliliters can the bucket hold?

  • A. 300ml
  • B. 3000ml
  • C. 0.003ml
  • D. 30ml
Correct Answer: B

Rationale: To convert liters to milliliters, you need to multiply by 1000 since 1 liter is equal to 1000 milliliters. Therefore, to determine how many milliliters a 3-liter bucket can hold, you multiply 3 by 1000, resulting in 3000ml. Hence, a bucket that can hold 3L is capable of holding 3000ml.

Copyright © 2025 Nokea. All rights reserved.