Answer:

Step-by-step explanation:
You have to use the summation notation formula:

where k is the starting number, n is the ending number and f(k) is the function or the expression to be added.
In this case, you have the sum of the integer numbers from 1 to 1000. Therefore, k=1 and n=1000.
Now, you have to obtain the function f(k) which is the representation of the expression needed to obtain the correct result of the sum.
f(k=1) = 1
f(k=2)=2
f(k=3)=3 ...
You can notice that the value of k corresponds to te value of f(k) therefore f(k) = k
Replacing the values of k, n and f(k) in the formula:

Answer:
z=-13/7
Step-by-step explanation:
1. Add 3z(7z+5=-8)
2. Subtract 5(7z=-13)
3. Divide 7(z=-13/7)
Answer:
3 yards.
Step-by-step explanation:
The perimeter of a shape is the sum of the length of all the sides of the shape.
The shape described above is a pentagon since it has 5 sides.
One side is 3/5 yards long.
Hence, the perimeter will be:
P = 3/5 + 3/5 + 3/5 + 3/5 + 3/5
P = 3 yards.
The perimeter of the chicken coop is 3 yards.
Another way of solving this is to simply take 3/5 five times. That is:
P = 3/5 * 5
P = 3 yards.
We arrive at the same answer.
5 x X= 11/4
Get X alone
X= (11/4 x 5)
X=(11/20)= 0.55
Answer:
x = -1.1
Step-by-step explanation:
3(5x - 8) = -5(-x + 7)
15x - 24 = 5x - 35
15x - 5x = -35 + 24
10x = -11
x = -11/10
x = -1.1