100 point!!!

The telescope’s cost is $91

4.55 divided by 5% (0.05) equals 91.

Answer:

Detailed solution:

Given:

The problem to solve is:

Convert the equation into the standard quadratic form , where represent constants.

So, by adding to both sides, we get:

Note that .

The roots of this quadratic are found by applying the quadratic formula given as:

Substitute into the formula and calculate for .

Hence, the roots are:

n equals 277

9 multiplied by 27 plus 2 multiplied by 31 minus 28 gives n

243 plus 62 minus 28 results in n

305 minus 28 equals n

which means 277 is n

Jack swims a total distance of 9*25.0m=225.0 meters in 2 minutes and 34.5 seconds.

The time duration of 2 minutes and 34.5 seconds can be converted to seconds: 2*60sec +34.5 sec= 154.5 s


Jill completes 10*25.0m = 250 m also in 154.5 s.










Therefore,
the speed of Jack calculates to: 225.0 meters / 154.5 s =(225/154.5) m/s = 1.46 m/s

the speed of Jill calculates to: 250.0 meters / 154.5 s =(250/154.5) m/s = 1.62 m/s


Assuming both Jack and Jill start from point 0 moving in the positive direction,

an even number of lengths results in a Displacement of 0, while an odd number results in a Displacement of 25 m


Thus, Jill's average Velocity is 0,

and Jack's average velocity is 25/154.5 = 0.16 m/s

Answer:

Jack's Average Speed: 1.46 m/s

Jill's Average Speed: 1.62 m/s

Jack's Average Velocity: 0

Jill's Average Velocity: 0.16 m/s