0.05x + 0.08(10,000 - x) = 680 - ToelettAPP
Understanding the Equation: Solving 0.05x + 0.08(10,000 - x) = 680
Understanding the Equation: Solving 0.05x + 0.08(10,000 - x) = 680
When faced with a linear equation like 0.05x + 0.08(10,000 - x) = 680, it might seem daunting at first—but breaking it down step by step makes solving it straightforward. Whether you're a student learning algebra or a professional working through real-world financial calculations, understanding how to solve equations systematically is essential.
Understanding the Context
What is the Equation?
The equation 0.05x + 0.08(10,000 - x) = 680 models a weighted average scenario, commonly used in finance, cost analysis, or profit modeling. It balances two different rates applied to parts of a total quantity.
In this case:
- 0.05x represents 5% of a quantity x
- 0.08(10,000 - x) represents 8% applied to the remaining (10,000 - x)
Their sum equals 680, likely modeling a total weighted cost or return.
Image Gallery
Key Insights
Step 1: Expand the Expression
Start by distributing 0.08 across the parenthesis:
\[
0.05x + 0.08 \ imes 10,000 - 0.08x = 680
\]
Calculate \(0.08 \ imes 10,000 = 800\), so the equation becomes:
🔗 Related Articles You Might Like:
📰 Penelope Cruz Stuns in Shocking Unveiling of Nude Moments From Fantastic Film Set 📰 Secrets Exposed: Penelope Cruz Dressed in Nude Scenes That Are Taking Twitter by Storm 📰 Discover the Irresistible Beauty of Penelope Cruz in Striking Nude Photographs—No Filter, No Compromise 📰 The Secret Unstoppable Energy Youve Been Missing 📰 The Secret Upromise No One Talks About Will Leave You Breathless 📰 The Secret Velotric Move Thats Changing How Riders Thrill Like Never Before 📰 The Secret Venta No Longer Listed On Every Listing Sitediscover Why 📰 The Secret Viewer Behavior Thatunlocks Viral Tiktok Moments Overnight 📰 The Secret Vt Lottery Win That Could Change Your Lifedont Miss Out 📰 The Secret Waffle Word Lingering In Wordle Tabs Could Break Lung Leaf Players 📰 The Secret Walton Emc Revealed About His Dark Past 📰 The Secret Water Root Teas Men Are Basically Switching To 📰 The Secret Way To Draw A Soccer Ball Like A Pro 📰 The Secret Way Uhaul Trailer Rental Saves Your Budget 📰 The Secret Way Whe Changes Everythingyou Wont Believe What Happens Next 📰 The Secret Wex Hacks Revealed Boost Efficiency Like Never Before 📰 The Secret Whio Weather Forecast Your Local Scott Mountains Demand Now 📰 The Secret Why Stop Calling It Googlea Mind Blowing RevelationFinal Thoughts
\[
0.05x + 800 - 0.08x = 680
\]
Step 2: Combine Like Terms
Combine the x terms:
\[
(0.05 - 0.08)x + 800 = 680 \
-0.03x + 800 = 680
\]
Step 3: Isolate the Variable
Subtract 800 from both sides:
\[
-0.03x = 680 - 800 \
-0.03x = -120
\]
Now divide both sides by \(-0.03\):
