Stephon is buying some snacks for his siblings at a convenience store. He wants to buy at least 6 items, but he has only $12 in his pocket. One bag of chips costs $2.25, and one candy bar costs $1.50. Which graph represents the number of bags of chips and candy bars Stephon can buy?

Stephon can buy total 4 chips bag and 2 candy bar

Given as :

The money which Stephon has in his pocket = $ 12

The cost of one chips bag = $ 2.25

The cost of one candy bar = $ 1.50

The total number of items he can buy = 6

So, Let the number of chips bag he can buy = x

∴ The number of candy bar he can buy = 6 - x

Now, according to question

The number of chips bag×The cost of one chips bag + The number of candy bar×The cost of one candy bar = $ 12

Or, x × $ 2.25 + (6-x) × $ 1.50 = $ 12

Or,  x × $ 2.25 + 9 -  x × $ 1.50 = $ 12

or,  x × $ 0.75 = 12 - 9

or, x =  = 4

The number of chips bag he can buy = x = 4

And The number of candy bar he can buy = 6 - x = 6 - 4 = 2

Hence Stephon can buy total 4 chips bag and 2 candy bar .  

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²