The first question is.
6 + 6 = 12
n is the same thing on both sides of the equation
6 + 6 - n = 12 - n
You are taking an equal amount off both sides so the left and right sides are both equal still. Try it. Let n = 0.5
6 + 6 - 0.5 = 12 - 0.5
6 + 5.5 = 11.5
11.5 =? 11.5
They are both equal. In algebra a letter in an equation like this one can't change values if that letter is on opposite sides of the equation.
Six
9.5 y + 600 < 900
9.5 y = 300
y < 300 / 9.5
y < 31.57
If there's no sales tax where he lives, he can take 31 students. If it is possible to take 0.57 of a student then he can take 32 (but of course it isn't possible).
Area = height * width / 2
Area = 4x * x / 2
8 = 4x * x /2
8 = 2x^2
x^2 = 4
x = 2 (width)
height = 4 * 2 =8
Area = 8 * 2 / 2 = 8
The shaded area is to the upper right of the line, so the equation needs to be addition the inequality sign needs to be greater than or equal to a positive value.
The correct answer would be C.
Expand first:-
yx^2 - xy^2 + zy^2 -yz^2 + xz^2 - zx^2
there is no common factor so we cant factorize this
Answer:
(2, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
3x + y = 10
y = x + 2
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 3x + (x + 2) = 10
- Combine like terms: 4x + 2 = 10
- Isolate <em>x</em> term: 4x = 8
- Isolate <em>x</em>: x = 2
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x + 2
- Substitute in <em>y</em>: y = 2 + 2
- Add: y = 4