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29.) \( 15 m=45 \) 36.) \( 2 m=124 \) 30.) \( 7 d=56 \) 37.) \( 14 r=42 \) 31.) \( 21 x=84 \) 38.) \( 29 t=77 \) 32.) \( 9 y=63 \) 39.) \( 9 x=143 \) 33.) \( \frac{2}{7} x=8 \) 40.) \( \frac{1}{2} v=10 \) 34.) \( \frac{3}{5^{2}}=12 \) 41.) \( \frac{2}{3} c=8 \) 35.) \( \frac{4}{6^{2}}=71 / 3 \) 42.) \( \frac{3}{4} c=51 / 4 \)

Ask by Erickson Zimmerman. in the United States
Feb 27,2025

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Here are the solutions to the equations: 1. \( m = 3 \) 2. \( m = 62 \) 3. \( d = 8 \) 4. \( r = 3 \) 5. \( x = 4 \) 6. \( t = \frac{77}{29} \) 7. \( y = 7 \) 8. \( x \approx 15.8 \) 9. \( x = 28 \) 10. \( v = 20 \) 11. The equation is false. 12. \( c = 12 \) 13. The equation is false. 14. \( c = 17 \)

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Did you know that solving equations dates back to ancient civilizations? The Babylonians used early forms of algebra to solve problems like land distribution and trade. By about 2000 BC, they had already developed techniques that resemble modern algebraic methods. Who knew math could be so historical and cool, right? In today's world, algebra is not just confined to the classroom. Whether you're calculating your monthly budget, figuring out the best deal while shopping, or even determining the trajectory of a rocket! It helps in countless real-world situations. So next time you solve for \( x \), remember, you’re not just doing math, you’re preparing for real-life problem-solving adventures!

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