Answer: 16
Step-by-step explanation: When you have a set of parentheses in an order of operations problem, you must simplify what's inside that set of parentheses first before you do anything else.
So our first step here is to subtract 6 - 8 which gives us -2.
So in our next step we have 3 (-2)² + 8 ÷ 2.
Now remember to do exponents before you multiply.
So (-2)² is just -2 × -2 or 4.
So in our next step we have 3 x 4 + 8 ÷ 2.
Now, we multiply so we have 3 x 4 which is 12.
So we have 12 + 8 ÷ 2.
Now we can divide.
8 ÷ 2 is 4 so we have 12 + 4 or 16.
So the answer to this problem is 16.
Answer:
The equivalent expressions are;
9x + 9
and
9(x + 1)
Step-by-step explanation:
Mathematically, we should understand that an equilateral triangle has all of its sides equal
So if one side is 3x+ 3, the other sides too measures same
Therefore, the length of the rope represents the perimeter of the triangle
This is obtainable by adding all the side lengths together
This will be;
3x + 3 + 3x + 3 + 3x + 3 = 9x + 9
This is also same as 9(x + 1)
You can form an equation and solve it to find your answer:
(7 - s)/3 = 2
× 3
7 - s = 6
+ s
7 = 6 + s
- 6
s = 1
So your answer is 1, I hope this helps!
Correct Answer:Option A. 17.1 Yards
Solution:Let the height of trapezium is x yards. According to the given data, we can express the lengths of bases in terms of height.
The short base is 3 yards greater than the height, so measure of short base will be (x+3) yards.
The longer base is 5 yards greater than the height, so measure of longer base will be (x+5) yards.
Area of trapezium is given to be 360 square yards.
Area of trapezium = 0.5 x (Height) x (Sum of Bases)
Using the values, we get:
Since the height cannot have a negative value, we conclude that the height of trapezium rounded to nearest tenth of a yard will be 17.1 yards.