Answer:
x = 5/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
12x - 30 = 2x - 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 2x on both sides: 10x - 30 = -5
- Add 30 to both sides: 10x = 25
- Divide 10 on both sides: x = 5/2
A box (cube) has all equal edges or sides (s), thus the volume (v) of the cube is:

So since each side or edge around is 3 in, then the length around the square bottom of the box = 4×3 = 12 in
Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
Option A
-x + 6y = 42 is the standard form
<u>Solution:</u>
Given that we have to write
in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Given equation is:

Let us convert the above equation into standard form


Make the denominator same in R.H.S

Solve the above equation


Move 6 from R.H.S to L.H.S

Bring all the terms to one side, leaving only constant on R.H.S

The above equation is of form Ax + By = C
Thus option A is correct