We theater is giving away a souvenir poster to any customer with a concession stand receive that exceeds $60 the theater sells a bag of popcorn for six dollars and a bottle of soda for $3.50. What ask represent the number of bags of popcorn in the Y represent the number of bottles of soda which linear inequality can be used to find the quantities of popcorn and soda that should be purchased to receive a poster

 6x + 3.5y > 60

Step-by-step explanation:

Popcorn: cost is $6.00, variable is x

Soda: cost is $3.50, variable is y

Total: GREATER than $60

Popcorn + Soda    >    Total

 6x        +   3.5y    >      60

-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

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles