Check your solution by first checking the end point , in the related equation. Pick a value greater than , such as 2, to check in the inequality. Solve for x. Divide both sides by 3 to isolate the variable.
Let price of one scarf be $x
Price of the other is 3 more than $x
Therefore price of the other scarf =$x +3
The total price she paid = $25.00
That is, x+x+3=25
2x+3=25
2x=25-3
2x=22
x=22/2
x=11
The price of one scarf is $11 and the price of the other is 11+3=$14
The price of the expensive scarf =$14.
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<em>We will assume the tent is in the shape of a triangular prism.</em>
The volume of a triangular prism can be found with the following formula, where
is the width at the base,
is the height, and
is the length.

Substitute in the known values.

Simplify — use multiplication.



Simplify — use division.

The volume — or in this case, the amount of living space — is
.
6z to the 4th power - 2z to the 3rd power
Answer:
x = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define Equation</u>
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 12x + 8 - 6 + 2x = 12x + 9 + 1
- Combine like terms: 14x + 2 = 12x + 10
- Subtract 12x on both sides: 2x + 2 = 10
- Subtract 2 on both sides: 2x = 8
- Divide 2 on both sides: x = 4