Ethan was able to run a lap on the quarter mile track in 90 seconds. He wants to know how long it would take him to run a 5K race, which is 3.1 miles. 1 - How many times longer than the quarter mile is a 5K? 2 - If Ethan maintains his pace (speed) for the full distance, how long would it take him to complete the race?

1. 13 times

2. 1170 sec = 19 min 50 sec

Step-by-step explanation:

1. 3.1 times 4 quoters = 13 times

 90 sec

x 13 times

270

900

1170 sec = 19 min 50 sec

umumumumum

im not sure

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.