Answer:
(-3, -11)
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>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 7x + 10
y = -4x - 23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 7x + 10 = -4x - 23
- [Addition Property of Equality] Add 4x on both sides: 11x + 10 = -23
- [Subtraction Property of Equality] Subtract 10 on both sides: 11x = -33
- [Division Property of Equality] Divide 11 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = 7x + 10
- Substitute in <em>x</em>: y = 7(-3) + 10
- Multiply: y = -21 + 10
- Add: y = -11
Answer:
Step-by-step explanation:
In this case, it is 8.95. Step 2: Square the radius that you get. In this case, the answer is 80.1025.
Np for the help.
Isolate the variable on one side of the equation and everything else to the opposite side of the variable.
You can isolate the variable by undoing the operations done to the variable.
For example, if we added 5 to x (x + 5) then we would need to undo that operation. We would need to use the inverse of addition. Which is subtraction.
5x + 6 = 2(2x - 3)
5x + 6 = 4x - 6 <-- Distribute the 2
x + 6 = -6 <-- Subtract 4x from each side
x = -12 <-- Subtract 6 from each side
So, x is equal to -12.
The answer is A. Two times two is four, and four plus seven (3.5 times 2) is eleven.
Answer:
Step-by-step explanation:
The total tip left by the boys amounted to 15% of the pre-tip bill. Let p represent the pre-tip bill.
Then 0.15p = $10.50 (p is the pre-tip bill and 0.15 represents 15% of that)
Dividing both sides by 0.15 results in an expression for p:
p = $10.50 / 0.15 = $70.
Recall that p is the sum of the costs of the individual meals. If this total was $70 and Michael's dinner cost $40, Elijah's dinner must have cost
$70 - $40, or $30.