A hotel costs $89 per night. Sally will receive a $5 per night discount paying in advance. A rental car is $35 per day plus taxes that total $4 per day. Which expression can Sally use to find how much she will pay for the hotel and rental car for 5 days? A hotel costs $89 per night. Sally will receive a $5 per night discount paying in advance. A rental car is $35 per day plus taxes that total $4 per day. Which expression can Sally use to find how much she will pay for the hotel and rental car for 5 days?

5[($89 - $5) + ($35 + $4)]

Step-by-step explanation:

We are told the hotel costs $89 per night. And that she will receive $5 discount per night if she pays in advance.

Thus, total per night = $89 - $5

Now, we are told that the rental car costs $35 per day plus taxes that total $4 per day.

Thus, for a day it's; $35 + $4

Now,for 5 days, cost of hotel is = 5($89 - $5)

For 5 days, rental car will cost; 5($35 + $4)

Thus,total for Sally to pay for both hotel and rental car for 5 days is;

5($89 - $5) + 5($35 + $4)

Simplifying further we have;

5[($89 - $5) + ($35 + $4)]

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

the correct answer is x/3+10≥32

hope this !