Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
![35M = 1015](https://tex.z-dn.net/?f=35M%20%3D%201015)
where
is the number of months that Rachel has saved up money.
Dividing both sides by 35, we get the answer:
![M = 29](https://tex.z-dn.net/?f=M%20%3D%2029)
Y = x + 6
That is in the form of y = mx + b, where m is the gradient, and b is the y-intercept.
1 is the gradient.
6 is the y-intercept.
Answer:
54 students per bus.
Step-by-step explanation:
To find how many students traveled in each bus, we must first know how many travelled in all the buses.
There are 331 students in all, and 7 did not travel in a bus.
331 - 7 =<u> 324 </u>
If each bus had the same amount of passengers, then we can use an average to find out how many were in each bus. s = students and b = busses
![\frac{324s}{6b} = \frac{54s}{1b}](https://tex.z-dn.net/?f=%5Cfrac%7B324s%7D%7B6b%7D%20%3D%20%5Cfrac%7B54s%7D%7B1b%7D)
There were 54 students per bus.
Answer:
![6\pi-9\sqrt{3](https://tex.z-dn.net/?f=6%5Cpi-9%5Csqrt%7B3)
Step-by-step explanation:
The area of a pie-slice shape can be found with the equation
where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is ![\pi (60)(6^2)/360=6 \pi](https://tex.z-dn.net/?f=%5Cpi%20%2860%29%286%5E2%29%2F360%3D6%20%5Cpi)
Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is
where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of ![9 \sqrt{3}](https://tex.z-dn.net/?f=9%20%5Csqrt%7B3%7D)
Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: ![6\pi-9\sqrt{3](https://tex.z-dn.net/?f=6%5Cpi-9%5Csqrt%7B3)
-3 and 1 because that is the point in which the line crosses the x axis