Mathematics, 17.12.2020 04:40 carolinerosewillis

A cyclist rides her bike at a speed of 10 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

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Answer from: landofliam30

48.2803

Step-by-step explanation: well in 10 km, it's 16.09 so that times 3 hrs/30=48.2803

Since it's 10 miles per (hour) then every hour she would travel 10 miles so by the 3rd hour, she'd have traveled 48.28 kilometers

Answer from: djnkyworld

16 kilometers per hour

48 kilometers

Step-by-step explanation:

10m/ph -> km/hr

since 1 mile is equal to 1.6 kilometers, we use this to convert.

10miles x 1.6 kilometers

10 x 1.6 = 16

so, the answer is 16 kilometers per hour

To find out how many kilometers they travel in three hours, we multiply our last answer times three.

16 x 3 = 48

48 kilometers

This is because the cyclist is traveling at 16 kilometers per hour so we multiply it by the three hours in the question.

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

im here

step-by-step explanation:

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A cyclist rides her bike at a speed of 10 miles per hour. What is this speed in kilometers per hour?...

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