Subtract 3x from both sides
3x - 3x - 2y = -3x - 16
divide both sides by -2
-2y / -2 = -3x / -2 - 16 / -2
y = -3/2x + 8
Answer:
3 miles
Step-by-step explanation:
5% of one inch = 0.05 inches
0.5/30 = 0.05/x
0.5x = 1.5
x = 3
Notice how you can also simply divide 30 by 10 in this case? :)
Because we know that the number in between x+6 and 2x-3 is 18, we can solve for x by doing (x+6+2x-3)/2=18. this simplifies to 3x+3=36, or x=11.
To find the average rate of change, use the following formula:

a and b represent the values of the interval:

Simplify the original equation by combining like terms:


Plug the interval values into the f(x) equation:


Plug in these values into the average rate of change formula:

The average rate of change over this interval is
-11.
By taking the quotient between the total length and the length needed for each step, we conclude that Luna can make 9 steps.
<h3>
How many steps can she make from the rope?</h3>
To find this, we need to take the quotient between the total length of the rope and the length needed for each step.
She has a total length of 30ft.
For each step she needs (2 + 1/3) ft plus (1/2) ft for each knot, and there are two knots, then each step needs: (2 + 1/3)ft + 2*(1/2)ft = (3 + 1/3) ft.
Then the number of steps that can be made is:
N = (30 ft)/(3 + 1/3) ft. = 9
She can make 9 steps or the lader.
If you want to learn more about quotients:
brainly.com/question/8952483
#SPJ1