Answer: 24.7
cos 54° = x/42
⇔ x = 42. cos 54°
⇔ x ≈ 24.7
Step-by-step explanation:
The price was marked down. If the price was reduced, we have to sum with the other value to find the original price:
The original price was $105.
Answer:
1/22
Step-by-step explanation:
- 12 total marbles
- 5/12 - 1/1 = 4/11
- 4/11 - 1/1 = 3/10
- 5/12 × 4/11 × 3/10 = 1/22
Answer:
x = 3
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>
4x + 9 = 2x + 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 2x on both sides: 2x + 9 = 15
- Subtract 9 on both sides: 2x = 6
- Divide 2 on both sides: x = 3
<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>: 4(3) + 9 = 2(3) + 15
- Multiply: 12 + 9 = 6 + 15
- Add: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 3 is the solution to the equation.
Answer:
probably 4 times since it is not 100% accurate I guess
