I'm taking "part 3" to mean the 3rd of the posted questions.
If , then
Then when , we get
.
Hannah's school hosted a book donation. There are 150150150 students at her school, and they donated a total of bbb books! Hanna
2 answers:
Answer:
Hanna donated b/50 books
Step-by-step explanation:
In this problem, we have:
n = 150 number of students at Hanna's school
b = ? number of total books donated by the students
Also, Hannah has donated 3 times as many as the average number of books each student donated.
The average number of books each student donated can be written as:
And calling
h = number of books donated by Hannah
This means that
Simplifying, this can be rewritten as
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Answer:
the point lies at (1.7, 3.6) in the first quadrant.
Step-by-step explanation:
The formula for a circle with centre (h,k) and radius (r) can be expressed as :
(x-h)² + (y-k)² = r²
Now for the expression of the circle with radius 3 and center (0,1), we have:
(x - 0)² + (y - 1)² = 3²
x² + (y-1)² = 9
replacing y = 1.5x + 1 in the above equation, we have:
x² + (( 1.5x + 1 ) - 1 )² = 9
x² + ( 1.5x +1 - 1)² = 9
x² + (1.5x)² = 9
x² + 2.25x² = 9
3.25x² = 9
x² = 9/3.25
x = 1.7 in the positive x - axis
Recall that:
y = 1.5x + 1
y = 1.5 (1.7) +1
y = 2.55 +1
y = 3.55
y = 3.6
Therefore, the point lies at (1.7, 3.6) in the first quadrant.