Answer:
$48.96
Step-by-step explanation:
Given data
Length= 10inches
Width=14 inches
Let us find the perimeter of the  certificate
P=2L+2W
P= 2*10+2*14
P=20+28
P= 48 inches
Hence if 1 inche cost $1.02
Then 48 inches will cost x
cross multiply we 
x= 48*1.02
x= $48.96
Hence it will cost $48.96 to frame the certificate
 
        
             
        
        
        
Answer:
(3,4)
Step-by-step explanation:
The amount of steps applied from the reflection line to the point would be also applied inversely to the image point (after reflection).
From y=x to (4,3), it goes 1 down and also goes 1 right. (NOTE: It does not go down and right. Instead, it goes <em>either</em> down and right)
So now inverse that to make 1 up and also going 1 left.
 
        
             
        
        
        
Answer:
24
Step-by-step explanation:
In the first classroom, there are 4 possibilities of teachers to be assigned.
In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.
In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.
Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.
We can find the total number of possibilities using the product rule.
N = 4 × 3 × 2 × 1 = 24
 
        
             
        
        
        
What are the measurements?
        
             
        
        
        
5x + 4 = 7x
Subtract 4 from both sides.
5x = 7x - 4
Subtract 7x from both sides.
5x - 7x = -4
Simplify.
-2x = -4
Divide both sides by -2.
x = 4/2
x = 2
~Hope I helped!~