17 pieces can be cut because you have to divide 12 3/4 by 3/4
#1: 15%
#2: 1/10 = 10%
There are 6 girls who have blonde hair out of 40 students; 6/40 = 15%.
There are 4 boys that have black hair out of 40 students; 4/40 = 1/10 = 10%.
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
Answer:
Slope = ![-\frac{1}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B6%7D)
M(x,y) = (1 , 8.5)
D = ![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
Step-by-step explanation:
(i) Slope = ![\frac{rise}{run}](https://tex.z-dn.net/?f=%5Cfrac%7Brise%7D%7Brun%7D)
=> Slope = ![\frac{8-9}{4+2}](https://tex.z-dn.net/?f=%5Cfrac%7B8-9%7D%7B4%2B2%7D)
=> Slope = ![-\frac{1}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B6%7D)
(ii) Midpoint
M(x,y) = ![(\frac{x1+x2}{2} , \frac{y1+y2}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx1%2Bx2%7D%7B2%7D%20%2C%20%5Cfrac%7By1%2By2%7D%7B2%7D%20%29)
M(x,y) = ![(\frac{-2+4}{2} , \frac{9+8}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B-2%2B4%7D%7B2%7D%20%2C%20%5Cfrac%7B9%2B8%7D%7B2%7D%20%29)
M(x,y) = (1 , 8.5)
(iii) Distance Formula = ![\sqrt{(x2-x1)^2+(y2-y1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%7D)
D = ![\sqrt{(4+2)^2+(8-9)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%284%2B2%29%5E2%2B%288-9%29%5E2%7D)
D = ![\sqrt{(6)^2+(-1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%286%29%5E2%2B%28-1%29%5E2%7D)
D = ![\sqrt{36+1}](https://tex.z-dn.net/?f=%5Csqrt%7B36%2B1%7D)
D = ![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
I drew it roughly
All 4 sides are = sqrt20
Looks like a rhombus