Adam took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.70 plus $3.75 per mile. The total fare was $21.45, not including the tip. How many miles was the taxi ride?

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)