(06.05 MC) A group of students were surveyed to find out if they like walking pets and/or gardening during the holidays. The results of the survey are shown below:
. 30 students like walking pets
. 6 students like walking pets but do not like gardening
• 28 students like gardening
. 5 students do not like walking pets
Four students created the tables below to represent the data. GD represents gardening and WP represents walking pets.
Tim
Heidi
Like WP
Do Not Like WP
Total
Like WP
Do Not Like WP
Total
Like GD
24
4
28
Like GD
4
24
28
6
1
7
Do Not Like GD
1
6
7
Do Not Like GD
Total
30
5
35
Total
5
30
35
Kim
Shaun
Like WP Do Not Like WP
Total
Like WP
Do Not Like WP
Total
Like GD
30
4
34
Like GD
4
30
34
Do Not Like GD
6
1
7
1
6
7
Do Not Like GD
Total
Total
36
5
41
5
36
41

(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

the correct answer is c

8.75

how-to:

first, we need to find what we have to work with.

since i know that we have 7 (years) and 0.8 (inches), we can use these to solve and find the equation!

secondly, what you want to do, is see that we need to know how much growth out of the 0.8 inches he got in only 1 year, instead of 7 years.

let's try to divide.

7 ÷ 0.8 = 8.75