A concession stand at a football game sells hot dogs and popcorn. It costs the concession stand $2 to make each hot dog and $0.50 to make each bag of popcorn. They can spend no more than $200 to

buy the supplies needed for the hot dogs and popcorn. Which inequality can be used to determine

the possible combinations of hot dogs, h, and bags of popcorn, p, they can make based on the money

they have to spend?

O 2h +0.5p > 200

2h +0.5p < 200

O2p + 0.5h < 200

2p + 0.5h > 200

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

there still no table

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."