Answer:
x=55
Step-by-step explanation:
2x-7=103
2x=103+7
2x=110
x=55
Answer:

Step-by-step explanation:
Let
L ----> the length of the rectangular garden in feet
w ---> the width of the rectangular garden in feet
step 1
Find the width
we know that
The perimeter of the rectangular garden is


so

Simplify
----> equation A
----> equation B
substitute equation B in equation A and solve for W
Find the value of L

step 2
Find the area
we know that
The area of the rectangular garden is

substitute the values

Represent these consecutive numbers (assuming that they are all integers):
x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.
Think of it this way: there are 10 consecutive numbers, and the last one is 10.
Working backwards, we get the sequence 10, 9, ... 3, 2, 1.
The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:
sum here = 10(1+10)/2 = 5(11) = 55 (answer)
-20+1= -19
-19/2= -9.5
Check:
-9.5x2= -19
-19-1= -20