Math Problem Statement
Find the unknown term in the proportion: (2x + 3) / 5 = 7 / 10.
Solution
The image shows a proportion equation in Ukrainian, which translates to "Find the unknown term in the proportion." The equation is:
To solve for , follow these steps:
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Cross-multiply the two ratios:
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Distribute the 10 on the left-hand side:
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Subtract 30 from both sides to isolate the term with :
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Divide by 20 to solve for :
Thus, the value of is .
Do you need more details or have any questions?
Here are five related questions to expand your understanding:
- How would the solution change if the proportion was ?
- What happens if the proportion is inverted, such as ?
- How can proportions be applied in real-life scenarios, such as in cooking or finance?
- Can you solve proportions where both the numerator and denominator are polynomials?
- How do proportions relate to the concept of similar triangles in geometry?
Tip: Cross-multiplication is a powerful tool to solve proportions quickly and efficiently!
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Math Problem Analysis
Mathematical Concepts
Algebra
Proportions
Linear Equations
Formulas
Cross-multiplication
Solving linear equations
Theorems
Cross-multiplication in proportions
Suitable Grade Level
Grades 6-8