(205) models the solution to the problem above!
27. 18% of the students at a school are in Year 8, and 16% of the students are in Year 9. If the school has 126 Year
c) (205 - 100)(0.4) d) 205% of 0.4
c) 112
d) 114
8 students, determine the number of Year 9 students.
a) 108
b) 110
28. The exam scores of all 500 students were recorded and it
distributed. If lano's
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(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: