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myrzilka [38]
3 years ago
11

If 5 + 20 times 2^2 minus 3x = 10 times 2^- 2x + 5, what is the value of x?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0
The answer to the problem is going to be 3
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Lelechka [254]
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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):
            $11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
            $19.50 + $11.00 = $30.50 
Hour 3 (excluding initial price):
            $30.50 + $11.00 = $41.50

Thanh:

Hour 1 (including initial price):
            $10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
            $20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
            $31.00 + $10.50 = $41.50

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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3 years ago
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The temperature decreased by 4 degrees.
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Type this number in decimal form. (6×1000)+(2×100)+(1×10)+(7×1)+(8×110)+(5×1100)
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Answer:

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Step-by-step explanation:

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