Answer: Green route = 5.8 miles
Blue route = 5.4 miles.
Step-by-step explanation:
Let the miles travelled for Green route be x
Let the miles travelled for Blue route be y
We can form an equation from the question given which will be:
8x + 9y = 95 ........ i
12x + 6y = 102 ......... ii
Multiply equation i by 12
Multiply equation ii by 8
96x + 108y = 1140 ....... iii
96x + 48y = 816 ....... iv
Subtract iv from iii
60y = 324
y = 324/60 = 5.4
Blue route is 5.4 miles.
Since 8x + 9y = 95
= 8x + 9(5.4) = 95
8x + 48.6 = 95
8x = 95 - 48.6
8x = 46.4
x = 46.4/8 = 5.8
Green route = 5.8 miles
Answer:
64
Step-by-step explanation:
A=1/2bh
basic multiplication after that
Step-by-step explanation:
x+3x+90=360
4x=360-90
x=270/4
x=67.5
Let us rewrite the expression so that the like terms are next to each other.
Combine the coefficients.
Answer: Slope of the line formed by the data is -3.
m=-3 for y=mx+b.
Step-by-step explanation: The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line. I'll pick 2 points: (-4,17) and (9,-22). Any two points will work, if it is a straight line. For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y. x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.
The rise(y) over the run(x) for these points is thus (-39/13) = -3
The slope is -3
