Answer:
(-1, 1)
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 = 2x + 3
y = x + 2
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 3 = x + 2
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: x + 3 = 2
- [Subtraction Property of Equality] Subtract 3 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [Original Equation]: y = -1 + 2
- Add: y = 1
Answer:
The area of a triangle= bh/2. Substitute
12(x+6)/2 ≤ 72
12(1/2x+3) ≤ 72
6x+36 ≤ 72
6x ≤ 72-36
6x ≤ 36 Divide both sides by 6
x ≤ 6
x|x ≤6 (read: x, where x is equal or smaller than 6)
Step-by-step explanation:
Answer:
133.33ft/hr
Step-by-step explanation:
Between 11am and 2pm, he had 3hrs
Height change 900 - 500 = 400ft
400/3 = 133.33ft/hr
There would be 101.33 students the following year
<h3>Ratios </h3>
From the question, we are to determine the number of students for the following year
From the given information,
There are 3 PA's for 38 students
If the ratio stays the same and
There were 8 PA's the following year, the number of students would be x
x = (8 × 38) / 3
x = 304 / 3
x = 101.33 students
Hence, there would be 101.33 students the following year
Learn more on Ratios here: brainly.com/question/2914376
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