The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3).
An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.
In other meaning, expression is beneficial to determine the end or root value of constraint.
As per the given expression,
[8(x+3)²]/[2(x+3)]
⇒ 8/2 × (x+3)²/(x+3)
⇒ 4(x+3)
Hence "The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3)".
To learn more about expression,
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8(x+3)^2/2(x+3)
[8(x + 3)(x + 3)]/2(x + 3)
8 ÷ 2 = 4
(x + 3)(x + 3) ÷ (x + 3) = (x + 3). In other words, we cancel one of the numerator factors.
Answer: 4(x + 3).
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Work Shown:
1/500 = 0.002 is the probability of winning $390
3/500 = 0.006 is the probability of winning $230
16/500 = 0.032 is the probability of winning $170
Multiply the probabilities with their respective winnings
0.002*390 = 0.78
0.006*230 = 1.38
0.032*170 = 5.44
Then add up those results
0.78+1.38+5.44 = 7.60
which is the expected value.
Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.
24 in3
48 in3
72 in3
Answer:
72 cubic inches
Step-by-step explanation:
Volume of cone = --1
Volume of cylinder = --2
We are given that a cylinder should fit exactly inside the cone
On comparing 1 and 2 we can see:
Since we are given the volume of cone is 24 cubic inches .
So,
Hence the volume of cylinder is 72 cubic inches
Option D is correct.
Answer:104 grams
Step-by-step explanation:
Let the number = x
12 + x = 3x - 32
x = 3x - 44 Subtract 12 from both sides
-2x = -44 Subtract 3x from both sides
x = 22 Divide by -2