A school cafeteria sells milk at 25 cents per carton and salads at 45 cents each. one week the total sales for these items were

Part A:

Please refer to the attached image to view the graph illustrating the inequalities.

There are two distinct lines shown, one with a steeper negative slope than the other. The shaded region in between indicates the solution set.

The green line corresponds to 2x+y≤8, while the blue line represents x+y≥4

Part B:

To determine if (8, 10) is included, substitute x = 8 and y = 10 into both inequalities. If it fails to satisfy either inequality, then it won't be part of the solution area.

2(8) + 10 ≤ 8

16 + 10 ≤ 8

26 ≤ 8... 26 is NOT less than or equal to 8

Hence, (8, 10) cannot be a solution because the inequality does not hold.

Part C:

I will select a random point from the graph, such as (2, 3). For your answer, any point within the shaded region where both x and y are positive would suffice.

The point (2, 3) indicates that Sarah can purchase 2 cupcakes and 3 pieces of fudge, ensuring that she acquires at least 4 pastries for her siblings while adhering to her 8 dollar budget.

Please let me know if you need any further clarification. Happy studying!

Answer:

D

Step-by-step explanation:

Six students prefer either pepperoni or olives:

Joe, Katie, Noah, Maria, Zack, or Julia

A total of nine students participated in the survey.

P (A or B) = 6/9 = 2/3

Tyler first needs to buy his guitar. After subtracting the guitar's cost of $140 from his $300, he finds that he has $160 available for the music club. With this amount, Tyler can maintain his membership for 13 months, with $4.65 remaining afterward.

Response:

The first option of a job at $9/hour.

Step-by-step breakdown:

At the $9/hour job, working 32 hours yields $288.

Conversely, at the $7/hour job, working 32 hours results in only $224.

Therefore, the only job that meets his requirement of at least $251 is the $9/hour position.

Hope this assists you, and have a pleasant day!