The number required is 2/3 because 3*(2/3)+2*(3/2) = 5
9
One.
6
26
45
A natural number is doubled when added to its reciprocal. Find that number!
9
the reciprocal is a factor by which you multiply a given number so that their product is 1. ex. 3/5 is the reciprocal of of 5/3.
One.
6
-10 & 6Let x be the certain number, so the reciprocal is (1/x). You can then set up the following equation to solve for x:x+4 = 60*(1/X)x+4 = 60/xx*(x+4) =x*(60/x)x2+4x = 60x2 + 4x - 60 =0(x+10)(x-6) = 0x+10 = 0 & x-6=0So, x=-10 & x=6
120
Opposites in math are called inverses. There are two of these inverses: an additive and a multiplicative. The additive inverse of a number is that number multiplied by -1. If this is added to the number, then the result will be 0. The multiplicative inverse of a number is its reciprocal. This is the number converted into a fraction then flipped. If you multiply a number with its multiplicative inverse, the result will be 1.
2 and 4
26
A mixed number is simply a whole number and a fraction. The value of a mixed number would be the whole number added to the fraction. To find its reciprocal: _______________________________________________________________ 1. You need to make the mixed number into a improper fraction. To do this, take the denominator times the number in front. Then add the result to the numerator. Then the improper fraction is that result over the denominator. A mixed number is formatted as a leading number and a fraction. If X is the leading number, D is the denominator, N is the numerator: X and N/D=(X*D+N)/D _______________________________________________________________ 2. Then take this new fraction and flip the numerator and the denominator: D/(X*D+N) _______________________________________________________________ So to get the reciprocal of a mixed number in one step, the reciprocal's: numerator is equal to the denominator of the mixed number; denominator is equal to the leading number multiplied by the denominator added to the numerator: D/(X*D+N)
If: 6x+8 = 32 Then: x = 4