Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
 = a₁ + (n - 1)d
 = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
 =
 =  [ 2a₁ + (n - 1)d ] , thus
 [ 2a₁ + (n - 1)d ] , thus
 =
 =  [ (2 × - 1) + (19 × 4) ]
 [ (2 × - 1) + (19 × 4) ]
      = 10(- 2 + 76) = 10 × 74 = 740
 
        
             
        
        
        
The answer to the math problem is 8y^12 
 
        
             
        
        
        
Answer:
1. Total Trip Distance = 190 kilometers
2. To complete the trip, 38 more kilometers left
Step-by-step explanation:
1.
Let total trip be x kilometers.
So we can say
<em>"152 is  of total" --- this into equation is:</em>
 of total" --- this into equation is:</em>

Total trip is 190 km.
2.
Since already driven 152, to complete 190, you have to drive   kilometers more.
 kilometers more.
So, 38 more kilometers to complete the trip.
 
        
                    
             
        
        
        
Given:
The table represents a proportional relationship.
To find:
The equation of the function.
Solution:
If y is directly proportional to x, then

 ...(i)
     ...(i)
where, k is the constant of proportionality.
From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).
Putting x=2 and y=1 in (i), we get


Putting  , we get
, we get

Therefore, the correct option is A.
 
        
             
        
        
        
The length of the third smallest table is 1.6 because 7.8 is more than 3.5 and 3.5 is more than 1.6,