The number that produces a rational answer when added to 0.85 is; 193/180
<h3>How to identify rational numbers?</h3>
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Now, let us convert 0.85 to a fraction. Thus;
0.85 = 85/100 = 17/20
From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;
17/20 + 2/9 = 193/180
193/180 is a rational number.
The missing options are;
A. 2/9
B. 0.2645751311...
C. √2
D.
Read more about rational numbers at; brainly.com/question/4694420
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Answer:
-5
Step-by-step explanation:
(-44) + (-10) + 49
=> 49 - 44 - 10
=> 49 - 54
=> -5
Missing part of the question
Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)
Answer:

Step-by-step explanation:
Given
For 5 people

Using the given instance of 5 people, the number of handshakes can be represented as:

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

Where
--- The first term
--- The last term
So:


898 mm because 8.98 is a lot smaller, it's only in the ones place.
Answer:
<em>The correct option is: C) 4x(3y + 7z)</em>
Step-by-step explanation:
Given expression is: 
First we need to find the GCF(Greatest common factor) of
and
and then we will factor out that GCF.

We can see that the common factors are: 
So, the GCF will be: 
Now factoring out
from the given expression, we will get.....

So, the complete factorization will be: 