Matrix Equations and Transition Diagrams Review

Nico took a test with a total of 30 questions. He earns 10 points for answering a question correctly and loses 2 points for answering incorrectly. He answered all 30 questions and received a total of 180 points. Which matrix equation can be used to find the number of questions he answered correctly, x, and incorrectly, y?

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Tags

CCSS.HSA.CED.A.3

A total of 4,270 students enrolled in a college in fall 2023. On the first day, 1,850 students ate at the dining hall, and 2,420 did not. The school predicts that 15% of those who eat at the dining hall will not eat at the dining hall the next day, and 35% of those who do not eat at the dining hall will eat at the dining hall the next day. Which transition diagram represents this scenario?

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Tags

CCSS.HSA.CED.A.3

A total of 4,270 students enrolled in a college in fall 2023. On the first day, 1,850 students ate at the dining hall, and 2,420 did not. The school predicts that 15% of those who eat at the dining hall will not eat at the dining hall the next day, and 35% of those who do not eat at the dining hall will eat at the dining hall the next day. On the 5th day, how many students ate at the dining hall? Round to the nearest whole number. x represents the students that eat in the dining hall.

Tags

CCSS.8.EE.C.7B

In a certain region, people subscribe to Streaming Service A and B. Some do not subscribe, N. What percent of people switch from Streaming Service B to Streaming Service A after each month?

• 20%

• 30%

• 10%

• 25%

In a certain month, 2,260 people in the region subscribed to Streaming Service A, 1,890 people in the region subscribed to Streaming Service B, and 800 people in the region subscribed to neither service. Based on the model, which of the following is closest to the number of people who subscribed to Streaming Service A in the preceding month?

• 1118

• 1292

• 2540

• 2120