Michael has a summer job as a bricklayer’s assistant. He is responsible for mixing the concrete. Concrete is made of cement, sand, and gravel in a ratio of 1:3:4 by mass. Michael needs to make 80 kg of concrete. How much cement, sand and gravel does Michael need to mix together to make 80 kg of concrete?

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)

Find the least common denominator for thesetvo rational expressions.n^2/n^2+4n+4 -3/n^2+7n+10

Alex took his brother to a birthday party. the party was scheduled to last for 1 and 3/4 hours but they stayed for 4/5 of an hour more. how long did she stay at the party?