The answer is the last option: 
Explanation:
1. You have that the equation of the line is:

Where
is the slope of the line and
is the intercept with the y-axis.
2. Therefore, you must find
.
3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for
, as following:

Answer:
72-b=p
Step-by-step explanation:
You start with 72, then take away the people bringing their own supplies (b), and that equals the number of people that will have supplies provided for them (p).
72-b=p
The Venn diagram
is attached in the figure.
Total number of students = 32
Number of students have a dog = 0.5 *32 = 16
Number of students have a cat = (3/8) * 32 = 12
Number of students have other pets = 6
Number of students have no pets = 5
From the Venn diagram:
Number of students have a dog = x+y+z+10
Number of students have a cat = x+z+w+9
Number of students have other pets = y+z+w+2
Total number
of students have no pets = 32 – (x+y+z+w+21)
So, as a
conclusion for the above information
x+y+z+10 =
16 (1)
x+z+w+9 = 12 (2)
y+z+w+2 = 6 (3)
32 – (x+y+z+w+21)
= 5 (4)
By solving
the system of equations to find x , y , z , w
x = 2 , y =
3 , z = 1 , w = 0
By using Venn
diagram
Number of students <span>have all three types of pets</span> = z = 1 student
Answer:
125.6 sq ft.
Step-by-step explanation:
To find the Surface Area of the cylinder, we will need to solve for the area of both bases and the rectangle around the cylinder. We can do this by:
------------------------------
Area of bases: (
)


Since we have two bases, we can simply multiply by 2, giving us:
12.56×2= 25.12
-------------------------------
Area of the rectangle: (
)

12.56×8= 100.48
Add these two together, giving us:
100.48+25.12= 125.6 sq ft.
You can see the fountain is made of 2 semicircles. You can apply the same area formula to both. The fourth circle has a fourth of the area of a circle. Add all 3 areas to get the fountain's area. Since the circumference of a circle is it's perimeter, find the circumference of all of the circles and add them up. THE sums is the fountain's perimeter.