Question

Help please? Mathematics

Answer 1

Answer:  (7) 6.9%          (8) Policy B            (9) Policy B

               (10) 480 miles per hour    (11) 275 miles     (12) 318.9 miles

Step-by-step explanation:

7)

Policy A Total = $334         least expensive policy

Policy B Total = $357

Policy C Total = $338          most expensive policy

$\dfrac{357-334}{334}\quad =\dfrac{23}{334}\quad =0.0688\quad =\large\boxed{6.9\%}$

8)

$\dfrac{\text{Policy A Liability}}{\text{Policy A Total}}=\dfrac{157}{334}\quad =0.470\quad =47.0\%\\\\\\\dfrac{\text{Policy B Liability}}{\text{Policy B Total}}=\dfrac{152}{357}\quad =0.426\quad =42.6\%\\\\\\\dfrac{\text{Policy C Liability}}{\text{Policy C Total}}=\dfrac{160}{338}\quad =0.473\quad =47.3\%$

The lowest percent is Policy B

9)

Policy A = 297

Policy B = 309            most expensive policy

Policy C = 306

The most expensive policy is Policy B

10) d = r × t

2160 = r(4.5)

÷4.5   ÷4.5  

480  =   r

11) Car 1 and Car 2 create a straight line in opposite directions

   Car 1 distance + Car 2 distance = Total distance

  35 mph (4 hrs) + 45 mph (3 hrs) = Total distance

      140 miles     +     135 miles      = Total distance

                275 miles                      = Total distance

12) Train 1 and Train 2 create a right triangle - use Pythagorean Theorem

$(Train \ 1)^2+(Train\ 2)^2=distance^2\\\\. [60\ mph(4\ hrs)]^2 +[70\ mph(3\ hrs)]^2=distance^2\\\\.\qquad 57,600\quad \quad \quad +\qquad 44,100\qquad =distance^2\\\\.\qquad \qquad \qquad 101,700\qquad \qquad \qquad \quad = distance^2\\\\.\qquad \qquad \qquad \large\boxed{318.9\ miles}\quad =distance$