Answer:
3,
3x+5
Step-by-step explanation:
DIFFERENTIATE W.R.T. X
3
EVALUATE
3x+5
Answer:
100 meters per hour.
Step-by-step explanation:
7,200 seconds / 60 = 120 minutes
120 minutes / 60 = 2 hours
200 meters / 2 hours = 100 meters
Since the squirrel moved 200 meters in 2 hours, the squirrel moved 100 metres per hour.
18 meters by 14 meters
Step-by-step explanation:
18 meters by 14 meters
Area of rectangle is base times height (AKA length times width or however you wish to call the dimensions).
This question is a system of equations question. We can make two equations. We know that every rectangle must have 2 "lengths" and 2 "widths" (4 sides in a rectangle). Since Maria only has 64 meters of fencing, we get the equation:
2L+2W = 64
Now we know the area enclosed must be 252 so we have:
L* W = 252
Rewriting the second equation we get:
Plug this into first equation to get:
(multiply everything by L)
Solving the quadratic tells us L can be 18 or 14. Let's consider if L is 18 first by plugging 18 back into the second equation to get 18 * W = 252 which gives us W = 14. If we do the same for when L = 14, we get that W = 18.
Now you might wonder why we have 2 possible combinations, that's because in reality, it doesn't matter which one we label as length (L) or width (W).
When the second number is divided by the first, the result is ...
First table
9/3 = 3
12/4 = 3
20/5 = 4 . . . . result is not consistent. NOT a proportional relationship
Second table
25/20 = 1.25
30/24 = 1.25
40/32 = 1.25 . . . . result is consistent. A PROPORTIONAL RELATIONSHIP
Third table
12/4 = 3
15/5 = 3
24/6 = 4 . . . . result is not consistent. NOT a proportional relationship
Fourth table
4/3 ≈ 1.33
9/6 = 1.5
16/12 ≈ 1.33 . . . . result is not consistent. NOT a proportional relationship
