<u>Answer:</u> $12.60
<u>Explanation</u>:
An alternate and easier way of finding the clearance price of an item is to take the percentage off and subtract it from 100. This way you don’t have to subtract your product from the total price to find your answer. This’ll make more sense when I show both methods.
Method #1 (harder):
Original price: $18
30% discount
Make the percentage a decimal and multiply it by the original price.
18 x .3 = 5.4 or $5.40
Original price - 5.4 = 12.6 or $12.60
Method #2 (short cut, one less step):
100% - 30% = 70%
Think about it like this - the 30% is what you’re NOT paying for while the 70% is what the item will actually be worth.
Original price x .7 = 12.6
The sum of all of the angles in a parallelogram is 360 degrees. Therefore, there are two of each type of angle in a parallelogram. For example, if one angle was 75 degrees, then one other angle out of the other three would be 75 degrees. This is due to how the angles that are opposite each other in a parallelogram are equal, while those next to each other will form a sum of half of 360 degrees. As a result, you can form an equation that will help you find x, as you already know that the value of another angle is 74 degrees (which is enough information).
Answer:
x = -7/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<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>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.
Answer:
3/4 of a cookie
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
2/9+4/9
The denominator is the same, so we add
6/9
Divide the top and bottom by 3
2/3