Nora and Lila are reading the same novel for book club. Nora is on page 128 and plans to read 8 pages per day until the next club meeting. Lila is on page 100 and plans to read 12 pages per day until the next club meeting.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)