0.2 is rounded to the nearest tenth
Let x and y be the 2 parts of 15 ==> x + y=15 (given)
Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)
Let's solve 1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)
==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy
But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50
Now we have the sum S of the 2 parts that is S = 15 and
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
Let the number of watts =w ‘no more than’ means less than or equal to, thus we will use that sign. The inequality can be written as: w<75
x + x + 1 + x + 2 = 5x - 29
Combine like terms.
3x + 3 = 5x - 29
Subtract 3x from both sides.
3 = 2x - 29
Add 29 to both sides.
32 = 2x
Divide both sides by 2.
16 = x
<h3>The first digit is 16.</h3><h3>The second digit is 17.</h3><h3>The third digit is 18.</h3>