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Vilka [71]
3 years ago
6

Find the equation of the line below.

Mathematics
2 answers:
Temka [501]3 years ago
8 0

Answer:

y=2x

Step-by-step explanation:

The line passes through the origin, so the y-intercept = 0

the slope m can be found with

m = (y2-y1)/(x2-x1) = (8-2)/(2-1) = 2

Therefore the equation of the line is

y = 2x + 0 = 2x

Flura [38]3 years ago
6 0

Answer:

A) y = 2x

Step-by-step explanation:

We are given the points (4,8) and (1,2).

\frac{2-8}{1-4}=\frac{-6}{-3}=\frac{6}{3}=\boxed{2}

The line passes through the origin.

Option A should be correct.

Hope this helps.

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Bob frosted 4 1/2 cakes in 3/4 of an hour. at what rate in cakes per hour did he frost the cakes?
siniylev [52]

Answer:

6 cakes an hour

Step-by-step explanation:

4 1/2=4.50

3/4= 0.75

4.50*0.75=6

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Least common denominator in 1/30 + 1/24
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Answer:

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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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Answer:

56.3%

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56.3%

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