Mike went to a football game with his family. they bought 5 boxes of popcorn, and 3 programs and spent $41. sean’s family went to the same game, bought 3 boxes of popcorn, and 2 programs and spent $26. how much does each program cost at the game?
$4
$5
$6
$7

The correct option is D. $7

Step-by-step explanation:

Let cost of each popcorn be x and cost of each program be y

Mike went to a football game with his family. They bought 5 boxes of popcorn, and 3 programs and spent $41

So, The equation which models this situation is given by :

⇒ 5x + 3y = 41 (1)

Also, Sean’s family went to the same game, bought 3 boxes of popcorn, and 2 programs and spent $26

So, The equation which models this situation is given by :

⇒ 3x + 2y = 26 (2)

On solving equations (1) and equation (2)

We get, x = 4 and y = 7

Hence, Cost of each popcorn at the game = $4

Cost of each program at the game = $7

Therefore, The correct option is D. $7

10 miles

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3