Asandwich shop charges $3.75 for a sandwich with meat and cheese and $0.15 for each additional topping. you can spend at most $5.25 for one sandwich. which inequality could you use to figure out the number of toppings, n, you can have?

3.75 + 0.15n ≤ 5.25

Step-by-step explanation:

You can not spend more than $5.25 so the inequality sign must be less than or equal to

If you know the shop charges a minimum of $3.75 for a sandwich, you need to include that in your equation

The $0.15 for additional toppings is included as $0.15 multiplied by n (0.15n)

n can be from 0-10, as 10 is the most toppings you can get before you go over your spending limit and you don't have to pay for additional toppings if you don't want to.

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

answer: 40.95

step-by-step explanation: