In order for the barge operator to meet his expenses, he has to haul at least 120 tons of freight. how many railroad cars must the barge operator haul on each trip to at least break even?

4. find the geometric mean of 4 and 12. 24 8

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

The difference of two numbers is 40. find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.