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nataly862011 [7]
3 years ago
11

Sixty-five percent of what number is 32.5? 21.125 140 30 50

Mathematics
2 answers:
DaniilM [7]3 years ago
6 0

For this case we can raise a rule of three:

x ---------------> 100%

32.5 ---------------> 65%

Where the variable "x" represents the number we want to find:

x = \frac {32.5 * 100} {65}\\x = \frac {3250} {65}\\x = 50

So, the number is 50.

Answer:

Option D

qwelly [4]3 years ago
4 0
The answer is 50. You can figure that out on a calculator by putting typing each answer and multiplying it times .65. So 50 times .65 is 32.5
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The area of rectangular field is 1440 sq meters and perimeter is 152 metre. Out of length or breadth which one is to be decrease
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If Length is decreased by 10% then it would become a square.

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Let length be denoted by 'l'.

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Now we know that Area of rectangular field is given by Length times width.

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l\times w = 1440 \ \ \ \ equation\ 1

Also we know that Perimeter of rectangular field is given by 2 times sum of  Length and width.

framing in equation form we get;

2(l+w) =152\\\\l+w =\frac{152}{2}\\\\l+w=76\\\\l=76-w \ \ \ \ equation \ 2

Now Substituting equation 2 in equation 1 we get;

l\times w =1440\\\\(76-w)w=1440\\\\76w-w^2=1440\\\\w^2-76w+1440 =0

Now we will find the root by factorizing the same we get;

w^2-36w-40w+1440=0\\\\w(w-36)-40(w-36)=0\\\\(w-36)(w-40) =0 \\

Now solving for each to find the value of 'w' we get;

w-36 =0\\\\w=36\\\\also \\\\w-40=0\\\\w=40

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We know that square has all sides same.

So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.

So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.

framing in equation form we get;

percentage decreased = \frac{4}{40}\times 100 = 10\%

Hence If Length is decreased by 10% then it would become a square.

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