Answer:
x = 24
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set Up Equation</u>
3x + 2x + 60° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 5x + 60 = 180
- Isolate <em>x </em>term: 5x = 120
- Isolate <em>x</em>: x = 24
Step-by-step explanation:
Mean = Average : Sum of the data ÷ Number of data
So find the average number of lates per student
4 = Lates
30 (sum of frequencies) = Frequencies
So 4 ÷ 30 = 7.5
Therefore the answer is 7.5..
Answer: 4:5
Explanation:
Steve earns 8 dollars an hour. His brother earns 10 dollars an hour.
The ratio is Steve:Brother, which is 8:10.
This can be treated the same was as a fraction and simplified, dividing both sides by 2, which becomes 4:5
Answer: B
You can find slope by using the slope formula. Because we are already given two coordinate points, we can use that to find our slope. The slope formula is
. This also refers to
or 10/-4 or -5/2. Any coordinate with the x-value as 0 means that that coordinate is the y-intercept. Because (0,5) has 0 as its x-value, the y-intercept is 5.
Answer:
(-3, 13)
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -4x + 1
11y = x + 146
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 11(-4x + 1) = x + 146
- Distribute 11: -44x + 11 = x + 146
- [Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146
- [Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x
- [Division Property of Equality] Divide 45 on both sides: -3 = x
- Rewrite/Rearrange: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -4x + 1
- Substitute in <em>x</em>: y = -4(-3) + 1
- Multiply: y = 12 + 1
- Add: y = 13