He divided the wrong way. 7/33 = .2121.....and 2/11 = .1818...., so actually 2/11 < 7/33
Answer:
Postage(weight) or p(w)
Step-by-step explanation:
<h3>
Answer: 120 degrees</h3>
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Work Shown:
n = number of sides = 6
i = measure of interior angle
i = 180(n-2)/n
i = 180(6-2)/6
i = 180(4)/6
i = 720/6
i = 120
Each interior angle of this regular hexagon is 120 degrees.
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Alternative Approach:
E = exterior angle
E = 360/n
E = 360/6
E = 60
Each exterior angle of this regular hexagon is 60 degrees
i+E = 180
i = 180-E
i = 180-60
i = 120
We get the same answer.
It will take them 5 Hours to charge the same. The rental charge will be 510.
I did a manual computation per company: My computation is entirely based on trial and error.
Red Bus Co. has a fixed rental rate of 150 and additional rental of 72 per hour while Blue Bus Co. has a fixed rental rate of 240 and additional rental of 54 per hour. Both fixed rental rate are one time charges only and total rental will vary on the number of hours spent in using both vehicles.
Let's start with the Red Bus Co. I will be posting the charges per hour and its running balance. The running balance is the sum.
Fixed Rate 150 Running Balance: 150 => 150 + 0
Hr 1 72 222 => 150 + 72
Hr 2 72 294 => 222 + 72
Hr 3 72 366 => 294 + 72
Hr 4 72 438 => 366 + 72
Hr 5 72 510 => 438 + 72
I'll do the same process with Blue Bus Co.
Fixed Rate 240 Running Balanc: 240 => 240 + 0
Hr 1 54 294 => 240 + 54
Hr 2 54 348 => 294 + 54
Hr 3 54 402 => 348 + 54
Hr 4 54 456 => 402 + 54
Hr 5 54 510 => 456 + 54
A function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.
<h3>
What is an equation?</h3>
- A relationship between two variables is defined as an equation; if we plot the graph of the linear equation, we will get a straight line.
To find a function, C(x), to model the water used by the car wash on a shorter day:
Given information -
- The water usage at a car wash is modeled by the equation W(x) = 4x³ + 6x² − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open.
- The amount of decrease in water used is modeled by D(x) = x³+ 2x² + 15, where D is the amount of water in cubic feet and x is time in hours.
Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.
We are trying to find:
- C(x) = W(x) - D(x)
- C(x) = (4x³ + 6x²− 11x + 7) - (x³ + 2x² + 15)
- C(x) = 4x³ - x² + 6x² - 2x³ - 11x + 7 - 15
- C(x) = 3x³ + 4x² - 11x - 8
Therefore, a function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.
Know more about equations here:
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The correct question is given below:
The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.
Write a function, C(x), to model the water used by the car wash on a shorter day