Answer:
$176.30
Step-by-step explanation:
7 1/2% can be simplified to 7.5%
7.5% of 164.00 is 12.30
12.30+164.00=176.30
$176.30
D) y + 3 = -6(x + 9)
The equation for point-slope form is y - y1 = m(x - x1) where (x1, y1) is a point and m is the slope.
Substitute the values in to get y - (-3) = -6(x - (-9)).
Now, simplify a little bit.
y + 3 = -6(x + 9)
There’s the answer.
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Answer: 42.00
Step-by-step explanation:
divided 3 and 31.50 and then add 31.50 + 10.50 = 42.00
Answer:
(-5/8, 13/4)
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>
2x + 5y = 15
8x + 4y = 8
<u>Step 2: Rewrite systems</u>
8x + 4y = 8
- Subtract 8x on both sides: 4y = 8 - 8x
- Divide 4 on both sides: y = 2 - 2x
<u>Step 3: Redefine systems</u>
2x + 5y = 15
y = 2 - 2x
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 5(2 - 2x) = 15
- Distribute 5: 2x + 10 - 10x = 15
- Combine like terms: -8x + 10 = 15
- Isolate <em>x</em> term: -8x = 5
- Isolate <em>x</em>: x = -5/8
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: 2x + 5y = 15
- Substitute in <em>x</em>: 2(-5/8) + 5y = 15
- Multiply: -10/8 + 5y = 15
- Simplify: -5/4 + 5y = 15
- Isolate <em>y</em> term: 5y = 65/4
- Isolate <em>y</em>: y = 13/4
<u>Step 6: Graph systems</u>
<em>Check the solution set.</em>
The solution set is equivalent (is in decimal form).
We've been given the length of the rug to be 8ft;
Also, the width of the rug is given as 5ft;
To find the area of the rug, we have to multiply the length of rug by the width;
Therefore, the area of the rug is 40ft^2 (square feet).