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tino4ka555 [31]
3 years ago
12

Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)

Mathematics
2 answers:
evablogger [386]3 years ago
8 0

Explanation: Set up your equation as you read through the problem.

"What" means <em>x</em>, "is", <em>equals</em>, "30%", <em>30/100</em>, "of", <em>times</em>, "546", <em>546</em>.

So our equation reads x = 30/100 · 546.

Simplifying on the right side of the equation,

we can reduce 30/100 to 3/10.

So we have x = 3/10 · 546.

Now multiply across the numerators and denominators to get 1638/10.

This reduces to 819/5 which can be written as 163.8.

madreJ [45]3 years ago
5 0

Answer:

Hey there!

We can solve this by multiplying 0.3 by 546, which is about 164.

Hope this helps :)

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Distance between parallel lines y=3x+10 and y=3x-20
Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).


2. Use formula d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}} to find the distance from point (x_0,y_0) to the line Ax+By+C=0.


The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

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