Answer:
Step-by-step explanation:
Ms. Guthrie spent 80% of her cash on gifts.
1 answer:
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Answer: There are 25 FTEs.
Step-by-step explanation:
Since we have given that
Number of hour week for full time employee = 40 hours
In a month we know that
Number of weeks = 4
Total number of hours in a month would be
If in last month, the hotel's 80 employees worked a total of 4000 hours,
So, Full time equivalent workers were employed by the hotel last month would be
Hence, there are 25 FTEs.
The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions
<h3>How to simplify the expressions?</h3><u>Factor of the polynomial</u>
The polynomial is given as:
2x^3 + 6x^2 + 6x + 18
Factor out 2
2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)
Factorize
2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))
Factor out x + 3
2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)
Expand
2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)
Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18
<u>The length of the pool</u>
The given parameters are:
Area = 2x^3 - 29x + 12
Width = x + 4
The length is calculated as:
Length = Area/Width
This gives
Length = 2x^2 - 29x + 12/x + 4
Factorize the numerator
Length = (2x^2 - 8x + 3)(x + 4)/x + 4
Cancel out x + 4
Length = 2x^2 - 8x + 3
Hence, the length of the pool is 2x^2 - 8x + 3
<u>Simplify the expression</u>
The expression is given as:
(3s^2 - 2s + 1) (s^2 - s + 2)
Evaluate the quotient
3 + (s - 5)/(s^2 - 5 + 2)
Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)
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