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Alexandra [31]
3 years ago
7

The distance between town X and town Y is 124 kilometres and a car uses 25 litres of petrol to make the journey. after the engin

e has been tuned, fuel consumption is reduced by 2%. how much petrol is required to travel from town X to town Y and back after tuning?
answer ASP
ALSO, ADD STEP BY STEP EXPLANATION PLEASE
Mathematics
2 answers:
Jlenok [28]3 years ago
6 0

Answer:

49 litres of petrol are needed to travel from town X to town Y and back.

Step-by-step explanation:

Well, first off, the variable X and Y, as well as the distance given (124 km) aren't important pieces of information in this equation. They're only there to throw you off and confuse you.

25L of <em>p</em> (petrol) to make the entire journey. After the engine has been tuned, it requires 2% less <em>p</em> than before it was tuned.

2%/100 = 0.02

0.02 * 25L = 0.5L

25L - 0.5L = 24.5L

Now, don't forget, at the end of the word problem we're asked how many litres of <em>p</em> would be required to travel from <em>x</em> to <em>y</em> <em><u>AND BACK</u></em>. So it's not only 24.5L, it's double that (24.5 * 2 = 49L)

Good luck!!

kirza4 [7]3 years ago
5 0

Answer:

The <u>thenightarcher</u> is correct it is <u>49 litres of petrol</u>

Step-by-step explanation:

I checked on paper

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Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?
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Answer:

The equation that represents circle C is (x+2)^2+(y-10)^2=169.

Step-by-step explanation:

A circle is the set of all points in the plane which maintains a fixed finite distance <em>r</em> from a fixed point <em>O = (a, b)</em>. Here <em>O</em> is called the center, and <em>r</em> is called the radius of that circle.

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We are also told that the circle contains the point  (10, 5), so we will use that information to find the radius <em>r.</em>

<em />(10+2)^2+(5-10)^2=r^2\\\\r^2=\left(10+2\right)^2+\left(5-10\right)^2\\\\r^2=12^2+5^2\\\\r^2=144+25\\\\r^2=169\\\\r=\sqrt{169}=13<em />

Therefore, the equation that represents circle C is

(x+2)^2+(y-10)^2=13^2\\\\(x+2)^2+(y-10)^2=169

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