Katalin drove 180 miles on her vacation. she drove an average of 1.5 times faster on the second 90 miles of her trip than she did on the first 90 miles of her trip. which expression represents the time she spent driving? let x = her speed on the first half of the trip.
a. 150/x
b. 300/x
c. 150x
d. 225/x

A)

Step-by-step explanation:

We know that

Let x be her speed on the first half of the trip.

Then for first half , the time taken by her is given by :_

For second half , the time taken by her is given by :_

Now, the total time taken by her is given by :_

Hence, the expression represents the time she spent driving is

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi