Cody wants to attend the fall festival at school. the price of admission to the festival is $5.50 and each game cost additional 75 cents. if cody has $15.00 to spend at the festival, whin adch inequality can be used to solve for g, the number of games that he can play, and what is the maximum number of games he can play?

5.50 + 75g <= 15

5.50 - 5.50 + 75g <= 15 - 5.50

75g <= 9.5

75g / 75 <= 75 / 15

g = 5

Step-by-step explanation:

127459073968947726

step-by-step explanation:

your welcome : )

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.