When 3/8 part of a number added in any number. then what will be the ratio of prime and new number?
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kinetic energy of an object of mass, m moving with a velocity of 5 ms 1 is 25 What will be its kinetic energy when its velocity is doubled? What will be its kine energy when its velocity is increased three times.
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Step-by-step explanation:
tex]{\large{\underline{\green{\bf{question : - }}}}}[/tex]
kinetic energy of an object of mass, m moving with a velocity of 5 ms 1 is 25 What will be its kinetic energy when its velocity is doubled? What will be its kine energy when its velocity is increased three times.
______________________
please give correct answers
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CBSE
Mathematics
Grade 8
Ratio and Proportions
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What number should be added to each of these numbers 12, 22, 42 and 72 so that the resulting numbers may be in proportion?
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Hint: Product of extremes is equal to the product of mean. Proportional numbers are represented as a:b::c:d
, where a,d
are the extremes and b,c
are known as the mean. In this question four proportional numbers are given so first we will add a common unknown number to them and then we will use means and extremes property to find the unknown number.
Complete step-by-step answer:
Given the four proportional numbers 12:22::42:72
Let x
be the number added to each of these numbers, so the new numbers become
First number =12+x
Second number =22+x
Third number =42+x
Fourth number =72+x
Now after adding an unknown numbers, since the resulting numbers need to be in proportion so we can write these numbers as
12+x:22+x::42+x:72+x
Now we know the means and extremes property of proportionality where the product of extremes is equal to the product of mean, hence we can write
(12+x)×(72+x)=(22+x)×(42+x)
Now by solving this
⇒12×72+12x+72x+x2=22×42+22x+42x+x2⇒864+84x=924+64x⇒84x−64x=924−864⇒20x=60⇒x=3
Therefore we get the value of x=3
Hence we can say if we add 3 to the numbers 12, 22, 42 and 72 the resulting numbers will be in proportion.
The resulting numbers