Answer:
books.
Step-by-step explanation:
We have been given that Hannah's school hosted a book donation.
Total number of students = 150.
Total number of books donated by all students = b.
Since we know that average is calculated by dividing the sum of the values in the set by their number.
Since we are told that Hannah donated 3 times as many as the average number of books each student donated. So books donated by Hannah will be:
Upon simplifying we will get,
Therefore, Hannah donated books.
An easy way to tell whether a graph is a function or not is to employ the verical line test. If you see any two y values that correspond to one x value, that means it is not a graph of a function, but rather a relation. In a we see that if we were to scan a vertical line from the left to right, there would be a point where an x value corresponds to two y values, which is at 2 to the left from the origin. In graph c you can find an x value that correspons to more than one y value at the origin, the same with graph b. With graph d, though, we see that all x values corresponds to only one y value so that graph is the one that is a function.
You could find the x and y-intercepts by isolating these variables on one side. We'll start by finding y.
15x+20y=1800
20y=1800-15x
y=(1800-15x)/20
Now, we insert this y into the original equation (substitution).
15x+20[(1800-15x)/2]=1800
Now we combine like terms and solve for x.
15x+(36000-300x/2)=1800
36000-300x/2=-15x+1800
36000-300x=-30x+3600
36000=270x+3600
32400=270x
x=120
So the x-intercept is 120. Now, we can either go through that long process again to find the y-intercept (which is really inefficient, and you probably won't have time to do so on a test), or we can just input the x value we got into the original equation.
15x+20y=1800
15(120)+20y=1800
1800+20y=1800
20y=0
y=0
I'm not 100% sure about the y being 0, but I'm pretty sure. Hope this helped.
You need to estimate the square root of 200 ft². Rewrite 200 as 2 x 100, then square root of (2*100) is:
10*sqrt(2). The sqrt(2) = 1.414, so the length of each side of the square will be 10*1.414 = 14.14 ft or about 14 ft.