Which of the following equations corresponds to the diagram below?

x
x
x
13
28
Answer
Multiple Choice Answers
28, equals, 3, x, plus, 1328=3x+13
28, ÷, 13, equals, 3, x28÷13=3x
13, plus, x, equals, 2813+x=28
28, plus, 3, equals, 13, x28+3=13x

1 answer

To determine which of the equations corresponds to the diagram, we need to analyze the given choices carefully. However, the diagram itself is not provided here, so I will explain the logic behind each equation to help you identify which one matches your diagram:

  1. 28 = 3x + 13: This equation states that 28 is equal to the sum of 3 times some variable \( x \) plus 13. If you have a situation where something (represented as 28) is composed of 3 parts of \( x \) and an additional 13, this would be your equation.

  2. 28 ÷ 13 = 3x: This equation indicates that dividing 28 by 13 gives you 3 times some variable \( x \). This would apply if you were considering proportions or ratios involving those numbers.

  3. 13 + x = 28: This equation suggests that adding a variable \( x \) to 13 gives you 28. This would be appropriate if you're looking to find what must be added to 13 to reach a total of 28.

  4. 28 + 3 = 13x: This states that adding 28 and 3 results in 13 times some variable \( x \). This would apply if your situation is based on an accumulation of values leading to a multiple of \( x \).

Without the diagram, I can't determine which equation is correct. If you can provide more context or describe the diagram, I would be able to point you to the right equation. If you see keywords or illustrations that suggest addition, a total, a ratio, or something being composed of different parts, those will guide you to the right choice.