Sue ran the first 12 miles of the 24-mile fun run in 72 minutes. her rate decreased by 2 miles per hour in the second half of the race. how long did it take sue to run the second half of the fun run?

show how to do this

90 minutes or 1.30 hours

Step-by-step explanation:

In 72 minutes, Sue ran 12 miles per hour

In 1 minute, Sue ran 12/72 miles per hour

In 60 minutes, Sue ran (12/72)*60 miles per hour

= 10 miles per hour

Remaining miles after completing 12 miles in 72 minutes = (24-12) = 12 miles.

If the mileage decreases to 2 miles per hour, he will now run = (10 - 2) = 8 miles per hour.

Now,

1 hour = 60 minutes

Sue can run 8 miles in 60 minutes

Sue can run 1 miles in 60/8 minutes

Sue can run 12 miles in (60/8)*12 minutes

= 90 minutes or 1.30 hours

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.