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Lemur [1.5K]
3 years ago
8

Simplify (4x^4y^3)^3/3(5x^2y^6)^2

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Answer: Hence, our simplified form will be :

\frac{64}{75}x^8y^{-3}

Step-by-step explanation:

Since we have given that

\frac{(4x^4y^3)^3}{3(5x^2y^6)^2}

We need to simplify the above expression:

\frac{(4x^4y^3)^3}{3(5x^2y^6)^2}\\\\=\frac{4^3x^{4\times 3}y^{3\times 3}}{3\times 5^2x^{2\times 2}y^{6\times 2}}\\\\=\frac{64x^{12}y^9}{3\times 25x^4y^{12}}\\\\=\frac{64x^{12}y^9}{75x^4y^{12}}\\\\=\frac{64}{75}x^{12-4}y^{9-12}\\\\=\frac{64}{75}x^8y^{-3}

Hence, our simplified form will be :

\frac{64}{75}x^8y^{-3}

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Carlos climbs 6 miles for every 3/4
JulsSmile [24]
To solve this problem we can make the following rule of three
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 x = (1/3/4) * (6)
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 Answer:
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4 0
3 years ago
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If ∠a and ∠b are supplementary and m∠a = 37°45', then m∠b =
dlinn [17]

a + b = 180

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3 years ago
Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini
Trava [24]
The price for each instructor will be the same at 3 hours. How I determined this answer:

First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:

Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)

Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)

Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:

I created a graph that looked like this:

Hours:       1                 2                  3               
Ieda:      19.50          30.50         41.50
Thanh:   20.50          31.00         41.50

Here's how I figured out the price for each hour:

Ieda:

Hour 1 (including initial price):
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Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
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Thanh:

Hour 1 (including initial price):
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Hour 2 (excluding initial price):
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Hour 3 (excluding initial price):
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So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)

I hope I was able to help you! :)
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5/6 or 5:6 is the simplified ratio of treadmills to ellipticals



comment for any questions!!
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