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Mathematics: Post your doubts here!

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Wait I actually don't get the scales :p
Could anyone just solve this question :
The scale of a map is 1:500000.
(a) The actual distance between two towns is 172km.
Calculate the distance, in centimetres, between the towns on the map.

Thank you!
The map distance is 500000 times smaller than the real distance. So you just need to divide 172km by 500,000.

The answer needs to be in cm so you should convert from km to cm first:

172km = 17,200,000 cm

Now divide by 500,000:

Map distance = 17,200,000 / 500,000 = 34.4cm
 
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Hi can someone help me with summer 2010 v 23 q17 b. I got 3.91 but i have no idea how to get the answer! HELP PLEASE :c
 
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GUYS!!1 MAY JUNE 2011 V 43 Q 11 PART A V??????? y cant we just subsitute 800 in the foumula and divide it by 2???? y do we have to do 2 x 400?/ plz explain?
 
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GUYS!!1 MAY JUNE 2011 V 43 Q 11 PART A V??????? y cant we just subsitute 800 in the foumula and divide it by 2???? y do we have to do 2 x 400?/ plz explain?
If we substitute 800 it will give us the answer to

1 + 2 + 3 + ... + 798 + 799 + 800

Then if we divide this sum by 2 we get:

1/2 (1 + 2 + 3 + ... + 798 + 799 + 800) = 0.5 + 1 + 1.5 + ... + 399.5 + 400

But this is not what the question is asking for.


Instead, if we substitute 400 into the formula and multiply by 2 we have:

2(1 + 2 + 3 + ... + 398 + 399 + 400) = 2 + 4 + 6 + ... + 796 + 798 + 800


Does this make sense?
 
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If we substitute 800 it will give us the answer to

1 + 2 + 3 + ... + 798 + 799 + 800

Then if we divide this sum by 2 we get:

1/2 (1 + 2 + 3 + ... + 798 + 799 + 800) = 0.5 + 1 + 1.5 + ... + 399.5 + 400

But this is not what the question is asking for.


Instead, if we substitute 400 into the formula and multiply by 2 we have:

2(1 + 2 + 3 + ... + 398 + 399 + 400) = 2 + 4 + 6 + ... + 796 + 798 + 800


Does this make sense?

Could you please explain part (iv) of that same question?
 
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