Answer: There are 1800 unique names from both the lists.
Explanation:
Since we have given that
there are two lists :
In First list, number of names = 1200
In Second list, number of names = 900
According to question , we have also given that
there are 150 names that appear on both lists,
So,
Number of unique names in the first list is given by

Number of unique names in the second list is given by

Therefore, total number of unique names is given by

Hence, there are 1800 unique names from both the lists.
Solving inequalities is almost the same as solving equalities for basic cases. Only thing you've to watch out for is signs.
For example, in 2x + 3 > 5,
We may subtract 3 from both sides,
2x > 2
Hence, by dividing both sides by 2, we get x>1.
The inequality sign changes on multiplying with (-)
For example, 2 < 6
But, -2 > -6
And when you interchange a fraction
E.g. 3/4 > 2/3
But, 4/3 < 3/2
You can now solve these of your own
Try yourself
Answer:
The radius of the cylinder is: r = 11 yards
Step-by-step explanation:
Given
The height of cylinder = h = 16 yards
Volume of cylinder = V = 6079.04 cubic yards
To determine
The radius of cylinder = r = ?
Using the formula involving volume of the cyliner
V = πr²h
substituting h = 16, V = 6079.04 and π = 3.14
6079.04 = 3.14 (r²) 16
r² = [6079.04] / [(3.14) (16)]
r² = 6079.04 / 50.24
r² = 121


As radius can not be negative.
Therefore, the radius of the cylinder is: r = 11 yards