Amoving company charges $40 plus $0.10 per mile to rent a moving van. another company charges $10 plus $0.25 per mile to rent the same van. for how many miles will the cost be the same for the two companies? write and solve an equation.

10 pointsthe roof of a house has a slope of 5/12. what is the width of the house if the height of the roof is 8 feet?

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)

Acomposition of transformations maps δxyz to δx"y"z". the first transformation for this composition is , and the second transformation is a 90° rotation about point x'.