Answer:
Josie takes 0.93 minutes to run 2 miles.
Step-by-step explanation:
We are given the following in the question:
Ratio:
Number of minutes: Number of miles = 20:43
Josie wants to run 2 miles. We have to find the number of minutes she need to run to maintain the ration.
Let x be the number of minutes Josie run.
This can be done in the following manner:

Thus, Josie takes 0.93 minutes to run 2 miles.
Answer:
The interest rate was of 0.1173 = 11.73%.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this problem, we have that:

So



So



The interest rate was of 0.1173 = 11.73%.
I think it would be (2,-8),2
X-3y=12
3y=x-12
y=1/3x-4
parallel means same gradient, which is 1/3.
Use formula y-y1=m(x-x1), m=gradient and y1 is y coordinate of point and x1 is x coordinate of point.
y-4=1/3[x-(-3)]
y-4=x/3+1
y=x/3+5
Answer:
125
Step-by-step explanation:
( 3x - 70 ) is exterior angle.
60 and x are interior angles.
Formula : -
Exterior angle of a triangle
= Sum of two interior angles in a triangle
3x - 70 = x + 60
3x - x = 60 + 70
2x = 130
x = 130 / 2
x = 65
m∠LKM = 3x - 70
= 3 ( 65 ) - 70
= 195 - 70
m∠LKM = 125