Restaurants often slip takeout menus under Nina's apartment door. So far, Nina has collected 20 menus, including 4 for Indian food. Considering this data, how many of the next 15 menus
slipped under Nina's door should you expect to be from Indian restaurants?
menus
Submit
Work it out
Not feeling ready yet? These can help:

3 indian menus

Step-by-step explanation:

If we assume that the proportions would remain the same then we can use the values provided to calculate the number of indian menus. We can use the Rule of Three in this scenario, since it is a ratio problem and we are given 3 values and a variable. We simply multiply the diagonal values and divide by the remaining value to get the variable.

20 menus   <>   4 indian menus

15  menus   <>   x indian menus

(15 * 4) / 20 = x

60 / 20 = x

3 = x

right

step-by-step explanation:

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