Answer:
x = -30
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>
0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2
- Combine like terms: -0.1x + 2 = 0.2x + 11
- Add 0.1x on both sides: 2 = 0.3x + 11
- Isolate <em>x </em>term: -9 = 0.3x
- Isolate <em>x</em>: -30 = x
- Rewrite: x = -30
<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>: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2
- Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2
- Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2
- Multiply: -22 + 27 = -7.2 + 12.2
- Add: 5 = 5
Here we see that 5 does indeed equal 5.
∴ x = -30 is the solution to the equation.
For 2 people, you can give 5 to one, and 5 to the other, equally split from 10
For 3 people, you can give each person 3 whole candies, and 1/3 of the remaining 1 candy that is left to split between three people (3 tiny pieces for the 3 people
And for 4 people, you can give each one 2 whole candies, and 1/2 of the remaining candies to all four people (2 candies, when split in half is 4 in total) !!
If half of her boxes were burned and 22 were left, that means that she started with 44 boxes.
Answer:
C. 36.
Step-by-step explanation:
66 2/3 % = 2/3.
If the maximum number of laps is x then:
2/3 x = 24
3/2 * 2/3 x = 24 * 3/2
x = 72 /2
x = 36.
47.5 meters per second, and he will travel 237.5 meters in 5 seconds