Answer:
(2, 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>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x
x = -y + 6
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: y = 2(-y + 6)
- Distribute 2: y = -2y + 12
- Isolate <em>y</em> terms: 3y = 12
- Isolate <em>y</em>: y = 4
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define equation: x = -y + 6
- Substitute in <em>y</em>: x = -4 + 6
- Add: x = 2
Answer:
1½ cords per hour
Step-by-step explanation:
A log splitter can split 6/5 cords of wood in 4/5 of an hour.
To find a unit rate, we divide the quantity of cords of wood by the time.
This gives us the complex fraction.

This is the same as

To divide two fractions, we multiply by the reciprocal of the second fraction.


This simplifies to:

The unit rate is 1.5 cords per hour
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Answer:
6
Step-by-step explanation:
Express the equation in slope- intercept form
y = mx + b ( where m is the slope and b the y- intercept )
Here m = - 0.5, thus
y = - 0.5x + b
To find b substitute (10, 1) into the equation
1 = - 5 + b ⇒ b = 1 + 5 = 6 ← y- intercept
I believe the ratio in simplest form is 1.3 to 0.7.
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