Mathematics, 26.02.2021 05:10, kadinmorgan

Whoever responds first will get marked bestWhich runner set the fastest pace per lap? Runner Laps Time
Martha 20. 32 min
Allison. 16. 25 min
Rachel. 17. 27.2
Determine how much time it takes per lap (1 lap). Then see who can do it in the least amount of time!

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answered: granniejo

Allison set the fastest pace per lap.

Step-by-step explanation:

My thought process: Divide the laps by their time to get laps per minute.

Martha: 20/32 = 0.625 laps per minute

32/20 = 1.6 minutes per lap

Allison: 16/25 = 0.64 laps per minute

25/16 = 1.5625 minutes per lap

Rachel: 17/27.2 = 0.625 laps per minute

27.2/17 = 1.6 minutes per lap

answered: Guest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

answered: Guest

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

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Whoever responds first will get marked bestWhich runner set the fastest pace per lap? Runner Laps T...