Let us set up some variables:
Now let us set up some equations based on the facts:
- length of rectangle is 4 times its width --> L = 4W
- perimeter of rectangle is 80 --> 2L + 2W = 80
Equations:
L = 4W -- equation 1
2L + 2W = 80 -- equation 2
Plug the value of L from equation 1 into equation 2
2(4W) + 2W = 80
8W + 2W = 80
10W = 80
W = 8 -- equation 3
Plug the value of W from equation 3 into equation 1:
L = 4W = 4 * 8 = 32
Therefore the length is 32 and the width is 8.
Hope that helps!
I’m not sure on the answer choices but this is what I got when I did synthetic division.
Answer:
Infinitely many solutions.
Step-by-step explanation:
Step: Solve 2x + 8y = 6 for x:
2x + 8y = 6
2x + 8y + −8y =6 + −8y (Add -8y to both sides)
2x = −8y + 6
2x/2 = (-8y + 6)/2 (Divide both sides by 2)
x = −4y + 3
Step: Substitute −4y + 3 for x in −5x − 20y = −15:
−5x − 20y = −15
−5 (−4y + 3 ) −20y = −15
−15 = −15 (Simplify both sides of the equation)
−15 + 15 = −15 + 15 (Add 15 to both sides)
0 = 0
Solution: 137 / 2 = 68.5
LMP is 11 degress more so 68.5 + 11 = 79.5
NMP is 11 degrees less so 68.5 - 11 = 57.5
Answer:
Mean=(46+48+51+53)/4
Mean=198/4
Mean=49.5
Step-by-step explanation:
Mean is the total amount per the total number of terms. It is also known as average.
