one month lamar rented 3 movies and 5 video games for a total of $40. the next month he rented 12 movies and 2 video games for a total of $43. find the rental cost for each movie and each video game.
rental cost for each movie: $
rental cost for each video game: $__

movies are $2.50 and video games are $6.50

Step-by-step explanation:

We have a system of equations that results from this information.  The first equation is

3m + 5v = 40, which says that 3 movies at the cost of "m" each plus 5 video games at the cost of "v" each add up to equal $40.

The second equation is

12m + 2v = 43, which says that 12 movies at the cost of "m" each plus 2 video games at the cost of "v" each add up to equal $43.

We can solve them by the addition/elimination method:

  3m   +   5v   =   40

 12m   +   2v   =   43

Let's multiply the first equation by a -4 to eliminate the m's first.  Doing that muliplication gives you the new equation in the system as

   -12m   -   20v    =    -160

    12m   +     2v    =       43

You can see that m's are eliminated, and doing the addition of what remains gives you the simpler equation:

-18v = -117 and

v = $6.50

Now we can use that value of v to solve for m:

3m + 5(6.50) = 40 so

3m + 32.5 = 40 and

3m = 7.5 so

m = $2.50

i belive those are the ones that are under 90 degreese.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column