I think that the sum will always be a rational number
let's prove that
<span>any rational number can be represented as a/b where a and b are integers and b≠0
</span>and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....
<span>so, 2 rational numbers can be represented as
</span>a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)
their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd
1. the numerator and denominator will be integers
2. that the denominator does not equal 0
alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
<span>like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
</span>even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer
now the denominator
that is just a product of 2 integers so it is an integer
<span>2. we originally defined that b≠0 and d≠0 so we're good
</span>therefore, the sum of any 2 rational numbers will always be a rational number <span>is the correct answer.</span>
12%= 0.12 = 12/100 = 108/900
1/10 = 90/900
2/9 = 200/900
108/900 + 90/900 + 200/900 = 398/900 used
900- 398 = 502
502/900 = 251/ 450
251/450 × 450 = 251
Karen has $251 for food
Circumference = square root (Area * 4 * PI)
circumference = square root (
<span>
<span>
<span>
452.3893421169
</span>
</span>
</span>
* 4 * PI )
<span>circumference = square root (
5,684.8921350275)
</span>circumference =
<span>
<span>
<span>
75.3982236862
</span>
</span>
</span>
Answer:
16
Step-by-step explanation:
radius is 1/2 of diameter
The slope of the graph of [ Y = 5x ] is 5 .
