A map provided by an engineering firm has a scale of 1 inch to 2000 feet. If the distance from the starting point for a pipeline to the ending point is 13 1/2 inches how long is the pipe line?

27,000 feet

Step-by-step explanation:

Let be the actual length of the pipeline, in feet.

Set up the following proportion:

Cross-multiplying yields

rick would give her the best deal as he will charge $8.88 per hour

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204