Answer: Simplifying
2x + 4 + 2x + 8 + 2x + 8 = 180
Reorder the terms:
4 + 8 + 8 + 2x + 2x + 2x = 180
Combine like terms: 4 + 8 = 12
12 + 8 + 2x + 2x + 2x = 180
Combine like terms: 12 + 8 = 20
20 + 2x + 2x + 2x = 180
Combine like terms: 2x + 2x = 4x
20 + 4x + 2x = 180
Combine like terms: 4x + 2x = 6x
20 + 6x = 180
Solving
20 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 6x = 180 + -20
Combine like terms: 20 + -20 = 0
0 + 6x = 180 + -20
6x = 180 + -20
Combine like terms: 180 + -20 = 160
6x = 160
Divide each side by '6'.
x = 26.66666667
Simplifying
x = 26.66666667
Step-by-step explanation:
The goat can go in a circle
the rope's length is the radius
area=pir^2
area=pi5^2
area=25pi square meters
if we use pi=3.14
area=78.5 square meters
<h3>
Answer: 0</h3>
Explanation:
The single digits are {0,1,2,3,4,5,6,7,8,9}
So naturally 0 is the first thing to test.
The number 270 is a multiple of 9 because 9*30 = 270. The digits of 270 add to 2+7+0 = 9 showing that it's a multiple of 9. Refer to the "divisibility by 9 rule".
The next possible value of y will be 9 units higher than y = 0, so we go for y = 9. Meaning that 279 is also a multiple of 9 (because 2+7+9 = 18 is a multiple of 9).
Answer:

Step-by-step explanation:
First we need to change the mixed numbers into improper fractions.
9 x 10 = 90 + 1 = 91/10
4 x 4 = 16 + 3 = 19/4
Now we need to get them into simplest terms. There is a few ways to do this, but I know that 10 x 2 = 20 and 4 x 5 = 20 so I will use 20.


Now we can subtract:

And that leaves us with our answer :D