Math Problem Statement

The image contains mathematical problems related to inequalities, equations, and geometry. Problem 14 involves comparing values with an inequality, Problem 15 involves forming an equation for total people based on ratings, and Problem 17 deals with calculating area in geometry.

Solution

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From what I see:

  1. Problem 14 involves a comparison using inequalities (80 ÷ 20 > 5), which simplifies to 4>54 > 5, which is false.

  2. Problem 15 asks you to form an equation based on movie ratings. The total number of people pp includes those who rated the movie Good (85) and those who rated it Poor (20), so the equation is: p=85+20p = 85 + 20

  3. Problem 17 relates to geometry, with an area provided as 15cm215 \, \text{cm}^2. To assist, I’d need further clarification on what you’re solving for (e.g., dimensions or missing information).

Would you like detailed explanations for these problems or further assistance?

Here are 5 related questions for practice:

  1. What does a>ba > b imply in an inequality comparison?
  2. How do you calculate the total of two groups if you're given their counts separately?
  3. Can you write and solve an equation for the number of people when three groups are involved?
  4. How is area calculated for basic shapes, such as rectangles or triangles?
  5. What is the difference between solving an equation and simplifying an expression?

Tip: Always double-check units in geometric problems, as misreading them can lead to errors.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Linear Equations
Geometry - Area Calculation

Formulas

Inequality rules
Summation of values (p = a + b)
Area formula for basic shapes (e.g., Area = Base x Height / 2 for triangles)

Theorems

Properties of inequalities
Basic arithmetic properties
Area calculation principles

Suitable Grade Level

Grades 6-8