Answer: -14
Step-by-step explanation:
Answer:
(-4, -8)
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>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - 2y = 12
5x + 3y = -44
<u>Step 2: Rewrite Systems</u>
x - 2y = 12
- [Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60
<u>Step 3: Redefine Systems</u>
-5x + 10y = -60
5x + 3y = -44
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine 2 equations: 13y = -104
- [Division Property of Equality] Divide 13 on both sides: y = -8
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: x - 2y = 12
- Substitute in <em>y</em>: x - 2(-8) = 12
- Multiply: x + 16 = 12
- [Subtraction Property of Equality] Subtract 16 on both sides: x = -4
20-6.25-3.7-1.25-1.25= $7.50
Has has $7.50 left over.
The independent variable belongs on the x-axis, so I’m assuming the cups of rice because the variable you show assigned to them is x
Answer:
Step-by-step explanation:
A negative exponent in the numerator is the same as a positive exponent in the denominator, and vice versa.
... a^-b = 1/a^b . . . . . for any value of b, positive or negative
The exponent of a product is the sum of the exponents:
... (a^b)(a^c) = a^(b+c)
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Applying these rules, you have
... = 2/(3x^4·x·y) = 2/(3x^(4+1)·y) = 2/(3x^5·y)
