15 of the books for sale at a bookstore store are hardcover. If this represents 12% of all books
1 answer:
The right answer is Option C.
Step-by-step explanation:
Hardcover books = 15
This represent 12% of total books.
Let,
x be the total number of books, therefore,
12% of x = 15
Dividing both sides by 0.12
As, 15 of them are hardcover books, the remaining will not be hardcovers;
Remaining books = Total books - hardcover books
Remaining books = 125 - 15 = 110
115 books are not hardcover.
The right answer is Option C.
Keywords: division, percentage
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Answer: (2.5 ; 1.5 )
Step-by-step explanation:
- The midpoint of the segment with the points
and
is calculated by the formula:
- Then :
Given :
A function , x = 2cos t -3sin t .....equation 1.
A differential equation , x'' + x = 0 .....equation 2.
To Find :
Whether the given function is a solution to the given differential equation.
Solution :
First derivative of x :
Now , second derivative :
( Note : derivative of sin t is cos t and cos t is -sin t )
Putting value of x'' and x in equation 2 , we get :
=(-2cos t + 3sin t ) + ( 2cos t -3sin t )
= 0
So , x'' and x satisfy equation 2.
Therefore , x function is a solution of given differential equation .
Hence , this is the required solution .