Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
 
        
             
        
        
        
 1 ║ 1               2                  -3               2
                        1                   3               0
--------------------------------------------------------------------
        1              3                   0              
⇒ The Remainder is 2
 
        
             
        
        
        
Answer:
 f(-2)= -12Step-by-step explanation:f(-2)= 3*2(-2)f(-2)= 3*(-4)f(-2)= -12.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
length = 24, width = 9
Step-by-step explanation:
Let's call the length and width of the first rectangle w + 15 and w respectively. This means that the length and width of the second rectangle is (w + 15) - 2 and w + 5 respectively. Since the perimeter of the second rectangle is 72, we can write:
2 * ((w + 15) - 2 + w + 5) = 72 because perimeter = 2 * (length + width)
(w + 15) - 2 + w + 5 = 36 (Divide by 2)
2w + 18 = 36 (Combine like terms)
2w = 18 (Subtract 18)
w = 9 (Divide by 2)
This means that the length and width are 24 and 9.