Answer:
n = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
6n + 7 = 55
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 7 on both sides: 6n = 48
- Divide 6 on both sides: n = 8
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: 6(8) + 7 = 55
- Multiply: 48 + 7 = 55
- Add: 55 = 55
Here we see that 55 does indeed equal 55.
∴ n = 8 is a solution of the equation.
Answer:
Step-by-step explanation:
For 6x+3y-12 the greatest common factor is 3 so
3(2x+y-4)
For -2+6x+4+4x
10x+2 and 2 is greatest common factor so
2(5x+1)
Answer:
The discount is $18
Step-by-step explanation:
Answer:
(2, 3)
Step-by-step explanation:
The point with integer coordinates nearest the solution point seems to be (2, 3).
Answer:
3(7 + 4)2 − 24 ÷ 6 = 62
Step-by-step explanation:
3(7 + 4)2 − 24 ÷ 6 is the given expression.
Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,
M = multiplication, A = addition and S = subtraction
we try and solve the following expression in the same order.
Solving the bracket first, we get
3<u>(7 + 4)</u>2 − 24 ÷ 6 = 3(<u>11</u>)2 − 24 ÷ 6 =<u> 66</u> − 24 ÷ 6
Next, we solve divide,
66 − <u>24 ÷ 6</u> = 66 - <u>4</u>
Next, solving the subtraction, 66 - 4 = 62
Hence, 3(7 + 4)2 − 24 ÷ 6 = 62
