You rent a video game for $3.50 a month. your total cost of rentals for the month was $31.50. write and solve an equation to find the number of video rentals for the month

a video game costs $3.50 a month. You're total cost is $31.50

Let video games = x

You're equation is:

31.50 = 3.50x

Solve for x. Isolate the x. Note the equal sign. What you do to one side, you do to the other. Divide 3.50 from both sides

31.50/3.50 = 3.50x/3.50

x = 31.50/3.50

Divide

x = 9

9 is your answer

hope this helps

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 slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.