Answer:
$3960
Step-by-step explanation:
12% of $4,500 is 540.
Subtracting the 12% means taking away $540 from $4,500, which gives you $3960
Answer:
(-19, 55)
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
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55
By definition we have that the volume is given by
V = h * w * l
where
V: Volume
h: height
w: width
l: length
Clearing the height we have:
h = V / (w * l)
h = (5 - x) / ((x) * (x - 2))
The expression is not defined for the values of x that make the denominator zero:
((x) * (x - 2)) = 0
x = 0
x = 2
Answer
h = (5 - x) / ((x) * (x - 2))
x = 0
x = 2
Answer:
71°
Step-by-step explanation:
In order to be able to solve this problem, we must assume the relation between lines "a" and "b" is that they are parallel.
If a║b, then ∠1 and ∠2 are corresponding, hence congruent.
m∠1 = m∠2 = 71°
Answer:
See below
Step-by-step explanation:
To solve for d, multiply both sides of the equal sign by 4.
4(1/4d) = 4 (1/5g(g+e)-h)
4/4d = 4(1/5
+ 1/5ge - h)
d = 4/5 + 4/5ge - 4h
