Mathematics

Mathematics Related

Review Mathematics related questions and content

A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in the table above. Which of the following would best display the data?

  • A. Bar graph
  • B. Scatter plot
  • C. Stem-and-leaf plot
  • D. Line graph
Correct Answer: A

Rationale: A bar graph is the most appropriate way to display categorical data like the number of each type of tree planted by the farmer. In a bar graph, each type of tree can be represented by a separate bar, allowing for easy visual comparison of the quantities. Scatter plots are used to illustrate relationships between two sets of data, which is not the case here. Stem-and-leaf plots are more suitable for displaying numerical data in a grouped format, not categorical data like types of trees. Line graphs are typically used to portray trends or changes over time, making them less suitable for this scenario.

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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.

Kwame's uncle is seventeen less than three times Kwame's age. Which of the following equations represents Kwame's uncle's age (u) as it relates to Kwame's age (k)?

  • A. u = 3k - 17
  • B. u = 4k - 17
  • C. u = 3k - 18
  • D. u = 3k - 11
Correct Answer: A

Rationale: To determine an equation representing Kwame's uncle's age (u) in relation to Kwame's age (k), we need to interpret the given information accurately. The statement 'Kwame's uncle is seventeen less than three times Kwame's age' can be translated as u = 3k - 17. Here, 'u' stands for Kwame's uncle's age, and 'k' stands for Kwame's age. Therefore, the correct equation is u = 3k - 17, making choice A the correct answer.

What is the largest common denominator for the fractions below? (Round the answer to the nearest integer.) 1/2, 2/3, 4/5

  • A. 30
  • B. 2
  • C. 3
  • D. 5
Correct Answer: A

Rationale: To find the largest common denominator for the fractions 1/2, 2/3, and 4/5, we need to identify the least common multiple of the denominators. The denominators are 2, 3, and 5. The least common multiple of 2, 3, and 5 is 30. Therefore, the largest common denominator for these fractions is 30, which is option A.

What is the area of the largest circle that can fit entirely inside a rectangle measuring 8 centimeters by 10 centimeters?

  • A. 18Ï€ cm^2
  • B. 16Ï€ cm^2
  • C. 8Ï€ cm^2
  • D. 10Ï€ cm^2
Correct Answer: B

Rationale: To find the largest circle that fits inside the given rectangle, the circle's diameter should match the shorter side of the rectangle, which is 8 cm. The radius of the circle is half the diameter, making it 4 cm. The area of a circle is determined using the formula A = πr^2, where r is the radius. Substituting r = 4 cm, we get A = π*(4)^2 = 16π cm^2. Therefore, the correct answer is 16π cm^2, as this is the maximum area circle that can fit entirely inside the given rectangle.

A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)

  • A. 13%
  • B. 20%
  • C. 10%
  • D. 5%
Correct Answer: B

Rationale: The percent lost is calculated as 180?160180×100?11.1%\frac{180 - 160}{180} \times 100 \approx 11.1\%180180?160?×100?11.1%, which rounds to 11%.

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