Answer:
x = 4
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>
7(2x - 5) = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 7: 2x - 5 = 3
- Isolate <em>x</em> term: 2x = 8
- Isolate <em>x</em>: x = 4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 7(2(4) - 5) = 21
- Multiply: 7(8 - 5) = 21
- Subtract: 7(3) = 21
- Multiply: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 4 is the solution to the equation.
Answer: The correct answer is Choice B.
To factor this expression, we should first factor out the variable x.
We will have:
x(x^2 + 4x - 5)
Now, all we have to do is factor x^2 + 4x - 5.
The factors of this are (x + 5)(x - 1).
If you put all of the factors together, you have: x(x + 5)(x - 1) or Choice B.
2 oranges cost $2 . $9 - $2 = $7
then 12 apply of Lisa and 6 apples of Jeremy
= 18 ÷ 7 = 2.57. $2.57 for 6 apples
2.57 ÷ 6 = 0.43 each apple
