Answer: the shortest side is 30m
Step-by-step explanation:
Let the shortest side be a meters
If side 2 is 16m longer than the shortest side, then it is (16+a)meters.
The same goes with side 3.
Then,
a + (16+a) + (16+a) = 122m
32 + 3a = 122m
Collecting like terms together,
3a = 122 - 32
3a = 90
Divide by coefficient of a
3a/3 = 90/3
a = 30 meters
Check:
30 + (16+30) + (16+30)
30 + 46 + 46 = 112
Answer: (I think)
78 paintings
Step-by-step explanation:
6 x 13 = 78
Add up the number of students within the random sample data:
32+26+28+22 = 108
We can then use proportional fractions / cross-multiply to answer the question.
In a sample size of 108 students, 32 of them preferred Movie A.
There are 900 students in total.
32*900 = 28800
108*x = 108x
108x = 28800
x =
or 
In decimal form that is approximately 266.667 and round that to the nearest whole number, you get 267 students who would prefer Movie A.
Think of 6y as
y + y + y + y + y + y
Now subtract a y from that.
y + y + y + y + y + y - y = y + y + y + y + y = 5y