Answer:
x=5.5
Step-by-step explanation:
Perimeter of ABCD=85
The perimeter is everything around the outside added together.
Form an equation:
3x+4+4x+6x-11+5x-7=85
Collect the like terms:
Like terms are terms that have the same powers and coefficient.
3x+4x+6x+5x=18x
4-11-7= -14
Put it back into an equation:
18x-14=85
Do inverse operations to find out what x is:
85+14=99
18x=99
99÷18=5.5 (we divide because, in algebra, when a number is next to a letter, it means times and as we want the inverse, you would have to divide)
x=5.5
Hope this helps :)
The area of the circle is
... A = (π/4)d² . . . . where d=10 in
The area of the square is
... A = d² . . . . . . . . where d=10 in
The amount of the square that is not in the circle is
... (1 -π/4)d² = 0.2146018d² ≈ 21.5 in² . . . for d=10 in
$89.10 is the best guess.
The other side is x^2+9
x^3-27/x-3= x^2+9
Answer:
x = 10/27
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
9/5x = 2/3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide both sides by 9/5: x = 10/27
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 9/5(10/27) = 2/3
- Multiply: 90/135 = 2/3
- Simplify: 2/3 = 2/3
And we have our final answer!
