Car rental agency charges $100 to rent a car and $0.28 per mile driven. if your rental bill after returning the car is $158.80 how many miles did you drive? write and solve an equation to solve the problem

  210 miles

Step-by-step explanation:

Let m represent the number of miles driven. According to the problem statement, the charges are ...

  total charge = daily charge + (mileage charge)×(miles driven)

Substituting the given values and the variable we have defined, we get ...

  158.80 = 100 + 0.28m . . . . . the equation

  58.80 = 0.28m . . . . . . subtract 100

  210 = m . . . . . . . . . . . . divide by 0.28 . . . . the solution

You drove 210 miles. . . . . . . . the answer to the question asked

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).