First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.
x - 5 = 21 ; x = 26
Thus, Kate initially had 26 paintings.
65* It is drawn with a round ruller...
9. Let x equal the number
Two less than a number is
x - 2
Is more than 15 is
> 15
Put them together for
x-2 > 15
Now solve
x-2 > 15
x > 17
10. Let x equal a number
Seven more than a number is
x+ 7
Is less than or equal to 27 is
<= 27
Put them together for
x + 7 <= 27
Now solve
x+ 7 <= 27
x <= 20
Yes, it is.
(31√5) / √65=31√(5/65)
Answer: yes, it is.