Olivia works at a craft store and can make 2 stone crafts in 45 minutes. If she has been
working for 35 minutes on an order for 8 stone crafts, how much longer does she need to
work to complete the order?

To complete the order olivia need to work 145 minutes.

Step-by-step explanation:

            The given is,

                    Olivia can make 2 stone crafts in 45 minutes.

                    She has been working for 35 minutes on an order for 8 stone crafts.

Step:1

           To find the Time to make 1 stone craft

            Time for 1 stone craft = 45÷2

                                                 = 22.5 minutes

Step:2

           Total time to complete the order

                                            = No. Of stone crafts × Time for 1 stone craft

                                            = 8 × 22.5

                                            = 180 minutes

Step:3

        Time to complete on an current order,

                  Remaining time to work = Total time - Already worked time

                                                           = 180 - 35

                                                           = 145 minutes.

Results:

         Olivia need to work 145 minutes to complete on an order for 8 stone crafts.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6