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lorenzo rides his bike at a rate of 5 yards per second. About how many miles per hour can Lorenzo ride this bike?(1mile=1760 yards)

Sagot :

AL2006
(5 yd/sec) x (1 mile/1,760 yard) x (3,600 sec/hour) = about 10.227 mile/hour.
calculista

we have

[tex] 5 \frac{yards}{sec}[/tex]

Step [tex] 1 [/tex]

Convert [tex] 5 [/tex] yards to miles

by proportion

[tex] \frac{1}{1,760} \frac{mile}{yards} =\frac{x}{5} \frac{mile}{yards}\\\\ x*1,760=5\\\\ x=\frac{5}{1,760}\ miles[/tex]

Step [tex] 2 [/tex]

Convert [tex] 1 [/tex] second to hours

by proportion

[tex] \frac{1}{3,600} \frac{hour}{seconds} =\frac{x}{1} \frac{hour}{second}\\\\ x*3,600=1\\\\ x=\frac{1}{3,600}\ hours[/tex]

Step [tex] 3 [/tex]

Find the speed in miles per hour

we know that

[tex] speed=\frac{distance}{time}\\\\speed=\frac{(5/1,760)}{(1/3,600)}\\\\speed=\frac{5*3,600}{1,760}\\\\speed=10.23\frac{miles}{hour} [/tex]

therefore

the answer is

[tex] 10.23\frac{miles}{hour} [/tex]

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