17 books in total, and 8 new. To find the number of used books, we subtract 8 from 17.
17-8= 9 used books
Now we have 8 new books and 9 used books.
All books: 17
Used books: 9
New books: 8
(a) all books: used books
     17: 9
(b) new books: used books
     8: 9
        
                    
             
        
        
        
Answer:
d. 18
Step-by-step explanation:
3x - 5 = 22
3x = 27
x = 9
Then, 2x is equal to:
= 2(9)
= 18
 
        
             
        
        
        
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
 y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
 
        
             
        
        
        
32% means 32/100 
32/100 = 16/50 = 8/25, which is the lowest you can get because you can no longer divide it to get a whole number. 
A; 8/25.
        
             
        
        
        
<h3>Explanation:</h3>
1. PQ║TS, PQ ≅ TS, PT and QS are transversals to the parallel lines . . . given
2. ∠P ≅ ∠T . . . alternate interior angles at PT
3. ∠Q ≅ ∠S . . . alternate interior angles at QS
4. ΔPQR ≅ ΔTSR . . . ASA postulate
_____
You can use any pair of angles together with the sides PQ and TS. If you use the vertical angles and one of ∠T or ∠S, then you must invoke the AAS postulate for congruence, as the side is not between the two angles.