Emma decided to buy some paint to paint some of the rooms in his house. she found out that one room required 1 1/2 cans of paint. if emma buys 9 cans of paint, how many rooms can she paint?

6
27/3
13 1/2
5

6

Step-by-step explanation:

To solve this, divide 9 by 1 1/2.

To make this easier to divide, convert 1 1/2 into an improper fraction.

1 1/2 = 3/2

Dividing 9 by 3/2 is the same as multiplying 9 by 2/3

Multiply the numerators and denominators

[9 is the same as 9/1]

9 x 2 = 18

1 x 3 = 3

18/3 = 6

So, Emma can paint 6 rooms.

I hope this helps!

333333333333333333333333333333

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