Grant took $27.75 to the movies last Friday. Each ticket g dollars. Write an expression to represent the amount of money Grant had after he bought 3 tickets.

$(27.75 - 3g)

Step-by-step explanation:

If Grant too $27.75 to the movies last friday

Cost of each movie tickets = $g

Grant bought 3 tickets, so his total cost  = $(g+g+g)=$(3g)

The money Grant had leftover = Total Amount Taken to the movie - Total movie cost

=$(27.75 - 3g)

Therefore Grant leftover money  after he bought 3 tickets is represented by $(27.75 - 3g) where g is the cost of one movie ticket.

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

60 for the first and 130 for the second

step-by-step explanation: