Answer:
D
Step-by-step explanation:
Lets look at the numbers
sqrt(4) = 2 which is a rational number
sqrt(5) cannot be simplified, it is an irrational number
-6/5 a ratio of integers, which is the definition of a rational number, so it is a rational number
3.5 = 35/10 a ratio of integers, which is the definition of a rational number, so it is a rational number
.555555 = 5/9 a ratio of integers, which is the definition of a rational number, so it is a rational number
Rational numbers: sqrt(4), -6/5, 3.5 , .5555(repeating)
Irrational numbers: sqrt(5)
Note: It should be 48 instead of 42 because √42 cannot be simplified.
Given:
Consider the given expression is

To find:
The simplified form of the given expression.
Solution:
We have,

It can be written as





Therefore, the simplified form of the given expression is 2.
Answer:
6 cm.
Step-by-step explanation:
The perimeter = 2(H + W) where H = height and W = width. So we have:
30 = 2(9 + W)
30 = 18 + 2W
2W = 30 - 18 = 12
W = 6 cm.
Answer:
There is a 50% probability that at least one roommate is doing homework this Friday night.
Step-by-step explanation:
This problem can be solved building the Venn Diagram of these probabilities.
I am going to say that P(A) is the probability that the roommate A is doing homework and P(B) is the probability that the roommate B is doing homework.
We have that:

In which P(a) is the probability that only the roommate A is doing homework and
is the probability that both student A and student B are doing homework.
We also have that:

The problem states that
The probability that Roommate A is doing homework on a Friday night is .3. So
.
The probability that Roommate B is doing homework on a Friday night is .4. So 
The probability that both roommates are doing homework on a Friday night is .2. So 
Find the probability that: At least one roommate is doing homework this Friday night
This is the probability that either only A is doing, either only B, or both. So:

We have that

We have P(A) and
, so we can find P(a)



Also



So:



There is a 50% probability that at least one roommate is doing homework this Friday night.
If you would like to solve x% of 50 shirts is 35 shirts, you can calculate this using the following steps:
x% of 50 shirts is 35 shirts
x% * 50 = 35
x/100 * 50 = 35 /*100/50
x = 35 * 100 / 50
x = 70%
Result: 70% of 50 shirts is 35 shirts.