The last time gloria filled her gas tank, the odometer read 21,865.3. this time it read 22,123.8 and she put in 11 gallons of gas. how many miles did she travel on each gallon of gas?

She traveled miles on each gallon of gas.

Step-by-step explanation:

According to the information given in the exercise, you know the following:

1. The las time the odometer read:

2. And this time the odometer read:

 So, knowing this, you can find the difference through this subtraction:

Therefore, based on that you can conclude that Gloria traveled 258.5 miles this time.

Since Gloria put in 11 gallons of gas, you can calculate the amount of miles she traveled on each gallon of gas by dividing 258.5 miles  by 11 gallons.

Therefore, the result is:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

b. b < 1 might be the correct answer