Answer: 1/2
Step-by-step explanation:
Answer:
A) c = 16.5h
B) $74.25
C) 7 hours
Step-by-step explanation:
Bazinga charges $16.50 per hour to dog sit.
Therefore, to calculate the total charge, multiply the number of hours by the charge per hour:
![\large \begin{array}{| c | c |}\cline{1-2} \sf number\:of\:hours & \sf charge\:in\:dollars\\\cline{1-2} 1 & 16.50 \\\cline{1-2} 3 & 49.50 \\\cline{1-2} 6 & 99.00 \\\cline{1-2} 8 & 132.00 \\\cline{1-2}\end{array}](https://tex.z-dn.net/?f=%5Clarge%20%5Cbegin%7Barray%7D%7B%7C%20c%20%7C%20c%20%7C%7D%5Ccline%7B1-2%7D%20%5Csf%20number%5C%3Aof%5C%3Ahours%20%26%20%5Csf%20charge%5C%3Ain%5C%3Adollars%5C%5C%5Ccline%7B1-2%7D%201%20%26%2016.50%20%5C%5C%5Ccline%7B1-2%7D%203%20%26%2049.50%20%5C%5C%5Ccline%7B1-2%7D%206%20%26%2099.00%20%5C%5C%5Ccline%7B1-2%7D%208%20%26%20132.00%20%5C%5C%5Ccline%7B1-2%7D%5Cend%7Barray%7D)
<h3><u>Part A</u></h3>
As explained above, to calculate the total charge, multiply the number of hours worked by the charge per hour of $16.50
⇒ c = 16.5h
where:
- h = number of hours worked
- c = total charge (in dollars)
<h3><u>Part B</u></h3>
To calculate how much Bazinga will earn if they dog sit for 4.5 hours, substitute h = 4.5 into the equation and solve for c:
⇒ c = 16.5h
⇒ c = 16.5(4.5)
⇒ c = $74.25
<h3><u>Part C</u></h3>
To calculate how long it will take Bazinga to earn $115.50, substitute c = 115.5 into the equation and solve for h:
⇒ c = 16.5h
⇒ 115.5 = 16.5h
⇒ h = 115.5 ÷ 16.5
⇒ h = 7 hours
OK first convert one of the equations into Y=MX+b form
Y-2x = 3
Add 2X
Y = 2x +3
Now substitute this equation in the other one.
So it would be
3X - 2Y = 5
3X-2(2x+3) = 5
Now solve for y
3X - 4X - 6 = 5
-1X - 6 = 5
Add 6
-1X = 11
X = -11
Now substitute this into one of the equations
Y - 2X = 3
Y -2(-11) = 3
Y +22 = 3
y = 3-22
y = -19
let's recall that there are 180° in π radians, thus
![\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ -36&x \end{array}\implies \cfrac{180}{-36}=\cfrac{\pi }{x}\implies -5=\cfrac{\pi }{x}\implies x=\cfrac{\pi }{-5}\implies x=-\cfrac{\pi }{5}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccll%7D%20degrees%26radians%5C%5C%20%5Ccline%7B1-2%7D%20180%26%5Cpi%20%5C%5C%20-36%26x%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B180%7D%7B-36%7D%3D%5Ccfrac%7B%5Cpi%20%7D%7Bx%7D%5Cimplies%20-5%3D%5Ccfrac%7B%5Cpi%20%7D%7Bx%7D%5Cimplies%20x%3D%5Ccfrac%7B%5Cpi%20%7D%7B-5%7D%5Cimplies%20x%3D-%5Ccfrac%7B%5Cpi%20%7D%7B5%7D)