Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
16x + 14y = 8
-63x - 14y = 133
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: -47x = 141
- Divide -47 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: 16x + 14y = 8
- Substitute in <em>x</em>: 16(-3) + 14y = 8
- Evaluate multiplication: -48 + 14y = 8
- Add 48 on both sides: 14y = 56
- Divide 14 on both sides: y = 4
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>
Cost of Alejandro's food = $12
Tip paid by Alejandro = 20% of his bill = 20% of 12 = 2.4
Cost of Mia's food = $18
Tip paid by Mia = 15% of his bill = 15% of 18 = 2.7
Total Tip Paid = 2.4+2.7 = 5.1
Total Check Amount = 12 + 18 = 30
Total tip paid by Alejandro and Mia is r% of the total check amount.
So, we need to determine what % of 30 is equal to 5.1%
⇒ r% × 30 = 5.1
⇒ r% = 5.1 / 30
⇒ r% = 17%
Hence, r is 17%
Answer:
210
Step-by-step explanation:
84 / .40 = 210
(to check)
210 X .40 = 84
Answer:
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Answer:
On what do you have a graph?
Step-by-step explanation: