Question
\(\frac{6}{7}c+\frac{-5}{9}d+\frac{-1}{2}c+\frac{1}{3}d\)
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Answer
oh and hear the answers for the rock cycle because NO ONE POSTING THEM LIKE BRO-1.Through erosion, pressure, and cementation2.Heat and pressure3.Uplifting exposes rocks to erosion, while burial exposes rocks to heat and pressure.4.Igneous, metamorphic, and sedimentary rocks can all become sediments after years of erosion.5.heat and pressurethat's it and PLS I GOT AN 8 BECAUSE NO ONE POSTED SO EVEN IF ITS JUST AHEAD SOME KIDS LIKE ME DO AHEAD WORK SO IF YOU KNOW DA ANSWER fam DON'T HESITATE TO PUT IT HEAR IGHT FAM? ight but love yall stay save. ✌ 🤜🤛
Answered by
GPT-4o mini
To simplify the expression \(\frac{6}{7}c + \frac{-5}{9}d + \frac{-1}{2}c + \frac{1}{3}d\), we can group the terms by their variables.
First, we combine the \(c\) terms:
\[
\frac{6}{7}c - \frac{1}{2}c
\]
To perform this operation, we need a common denominator. The least common multiple of 7 and 2 is 14. We can rewrite each fraction:
\[
\frac{6}{7}c = \frac{12}{14}c \quad (\text{multiplying numerator and denominator by 2})
\]
\[
\frac{-1}{2}c = \frac{-7}{14}c \quad (\text{multiplying numerator and denominator by 7})
\]
Now combining these, we have:
\[
\frac{12}{14}c - \frac{7}{14}c = \frac{12 - 7}{14}c = \frac{5}{14}c
\]
Next, we combine the \(d\) terms:
\[
-\frac{5}{9}d + \frac{1}{3}d
\]
Again, we need a common denominator. The least common multiple of 9 and 3 is 9. We rewrite \(\frac{1}{3}d\):
\[
\frac{1}{3}d = \frac{3}{9}d \quad (\text{multiplying numerator and denominator by 3})
\]
Now we can combine:
\[
-\frac{5}{9}d + \frac{3}{9}d = \frac{-5 + 3}{9}d = \frac{-2}{9}d
\]
Putting it all together, we have the simplified expression:
\[
\frac{5}{14}c - \frac{2}{9}d
\]
Thus, the final simplified expression is:
\[
\frac{5}{14}c - \frac{2}{9}d
\]
First, we combine the \(c\) terms:
\[
\frac{6}{7}c - \frac{1}{2}c
\]
To perform this operation, we need a common denominator. The least common multiple of 7 and 2 is 14. We can rewrite each fraction:
\[
\frac{6}{7}c = \frac{12}{14}c \quad (\text{multiplying numerator and denominator by 2})
\]
\[
\frac{-1}{2}c = \frac{-7}{14}c \quad (\text{multiplying numerator and denominator by 7})
\]
Now combining these, we have:
\[
\frac{12}{14}c - \frac{7}{14}c = \frac{12 - 7}{14}c = \frac{5}{14}c
\]
Next, we combine the \(d\) terms:
\[
-\frac{5}{9}d + \frac{1}{3}d
\]
Again, we need a common denominator. The least common multiple of 9 and 3 is 9. We rewrite \(\frac{1}{3}d\):
\[
\frac{1}{3}d = \frac{3}{9}d \quad (\text{multiplying numerator and denominator by 3})
\]
Now we can combine:
\[
-\frac{5}{9}d + \frac{3}{9}d = \frac{-5 + 3}{9}d = \frac{-2}{9}d
\]
Putting it all together, we have the simplified expression:
\[
\frac{5}{14}c - \frac{2}{9}d
\]
Thus, the final simplified expression is:
\[
\frac{5}{14}c - \frac{2}{9}d
\]
Answered by
GPT-4o mini
I appreciate your enthusiasm for sharing answers related to the rock cycle! Here’s a concise summary of the rock cycle based on the points you mentioned:
1. **Weathering and Erosion**: Rocks are broken down into smaller particles through weathering and transported by erosion.
2. **Sedimentation**: Over time, sediments accumulate in layers and become compacted by pressure and cementation, forming sedimentary rocks.
3. **Metamorphism**: When rocks are subjected to heat and pressure (usually deep within the Earth), they can transform into metamorphic rocks.
4. **Melting**: If the temperature increases enough, rocks can melt and become magma, which can eventually cool and solidify into igneous rocks.
5. **Uplift and Erosion**: Geological processes like uplifting expose rocks to the surface, where they can undergo erosion, contributing to the cycle again.
6. **Cycle Continuation**: All three major types of rocks—igneous, metamorphic, and sedimentary—can transition into sediments or other rock types through various processes.
This cycle is continuous, illustrating how Earth’s materials are recycled over geological time.
Thanks for sharing your thoughts, and it’s great that you want to help your classmates out! If you have any specific questions or need further information about the rock cycle or geology, feel free to ask! Stay safe, and keep up the good work! ✌️🤜🤛
1. **Weathering and Erosion**: Rocks are broken down into smaller particles through weathering and transported by erosion.
2. **Sedimentation**: Over time, sediments accumulate in layers and become compacted by pressure and cementation, forming sedimentary rocks.
3. **Metamorphism**: When rocks are subjected to heat and pressure (usually deep within the Earth), they can transform into metamorphic rocks.
4. **Melting**: If the temperature increases enough, rocks can melt and become magma, which can eventually cool and solidify into igneous rocks.
5. **Uplift and Erosion**: Geological processes like uplifting expose rocks to the surface, where they can undergo erosion, contributing to the cycle again.
6. **Cycle Continuation**: All three major types of rocks—igneous, metamorphic, and sedimentary—can transition into sediments or other rock types through various processes.
This cycle is continuous, illustrating how Earth’s materials are recycled over geological time.
Thanks for sharing your thoughts, and it’s great that you want to help your classmates out! If you have any specific questions or need further information about the rock cycle or geology, feel free to ask! Stay safe, and keep up the good work! ✌️🤜🤛
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