Mathematics, 17.11.2019 22:31 josephcfaucett2863

Given the speeds of each runner below, determine who runs the
fastest.
liz runs 13 feet per second.
ron runs 495 feet in 34 seconds.
katie runs 1 mile in 506 seconds.
will runs 666 feet in 1 minute.

Answers: 2

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Answers

Answer from: emilydis2594

Ron runs the fastest.

Step-by-step explanation:

To see who's the fastest you should convert everyone's speed into one unit (feet per second for this example).

Liz

13 feet per second (doesn't have to be converted).

Ron

He runs 495 feet in 34 seconds, so he runs 495 feet ÷ 34 ≅ 14.55882 feet per second.

Katie

1 mile = 5280 feet. She runs 5280 feet in 506 seconds, so she runs 5280 ÷ 506 ≅ 10.43478 feet per second.

Will

1 minute = 60 seconds. He runs 666 feet in 60 seconds, so he runs 666 ÷ 60 = 11.1 feet per second.

Results

Liz - 13 feet per second

Ron - 14.55882 feet per second

Katie - 10.43478 feet per second

Will - 11.1 feet per second

As the results show, Ron runs the fastest, Liz the second fastest, Will the third fastest and Katie the fourth fastest.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

yes because they have the same amount of green and blur marbles.

step-by-step explanation:

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Given the speeds of each runner below, determine who runs the
fastest.
liz runs 13 feet...