How to Do Ratio, Proportion, and Percentages Puzzle -Critical Thinking 8
This kind of math puzzle is an educational activity for practicing children’s math skills. It’s also helpful for adults to have fun and challenge their brains! For additional educational resources, . For additional educational resources
Challenge:
If \(5^x + 5^{x+1} + 5^{x+2}=\frac{31}{25}\), what is the value of x?
The Absolute Best Book to Challenge Your Smart Student!
The correct answer is \(-2\).
Pre-Algebra for Beginners 2026 The Ultimate Step by Step Guide to Preparing for the Pre-Algebra Test
Original price was: $27.99.$17.99Current price is: $17.99.Satisfied 92 Students
Solve for x:
\(5^x + 5^{x+1} + 5^{x+2}=\frac{31}{25}\)
The common factor is \(5^x\). Then,
\(5^x(1+5^1+5^2)=\frac{31}{25}⇒5^x(31)=\frac{31}{25}⇒5^x=\frac{\frac{31}{25}}{31}⇒\)
\(5^x=\frac{31}{25}÷\frac{31}{1}=\frac{31}{25}×\frac{1}{31}=\frac{1}{25}\)
\(\frac{1}{25}=5^{-2}\) Then: \(5^x=5^{-2}⇒ x = -2\)
Related to This Article
More math articles
- 3rd Grade Georgia Milestones Assessment System Math Practice Test Questions
- Grade 7 Vocabulary and Word Study: Roots, Context Clues, and Academic Language That Sticks
- The Ultimate 6th Grade Math Course (+FREE Worksheets)
- South Carolina Grade 2 English Worksheets — Free Printable PDFs
- Free Grade 5 Math Worksheet Library for Florida (FAST): 48 Printable Skill Pages
- Wisconsin Forward Grade 7 Math Worksheets: 95 Free Printable PDFs Covering Every Skill
- “Great Resignation” Regret: People Who Want Their Old Jobs Back
- How to Use Models to Place Decimal Numbers in Order
- Free Grade 3 English Worksheets for Delaware Students
- Free Grade 8 English Worksheets for Vermont Students
What people say about "How to Do Ratio, Proportion, and Percentages Puzzle -Critical Thinking 8 - Effortless Math"?
No one replied yet.