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13 days ago

A turtle walks 7/8 of a mile in 50 minutes. What is the unit rate when the turtle’s speed is expressed in miles per hour?

Mathematics

2 answers:

zzz [9K]13 days ago

7 0

Answer:

a) when converting 50 minutes into hours, we derive the fraction $\dfrac{5}{6}$

b) $\text{Unit rate of turtle }=\dfrac{21}{20}$ miles per hour

Step-by-step explanation:

$\dfrac{7}{8}$ A turtle covers

of a mile over a time frame of 50 minutes.

To find the unit rate of the turtle in miles per hour, we establish that one hour consists of 60 minutes.

Distance =

miles

$\dfrac{7}{8}$ Time = 50 minutes

1 minute =

hour

$\dfrac{1}{60}$ 50 minutes =

hours

$\dfrac{1}{60}\times 50$

$\text{Unit rate of turtle }=\dfrac{7/8}{5/6}$

$\text{Unit rate of turtle }=\dfrac{21}{20}$ miles per hour

Part a)

$\text{Unit rate of turtle }=\dfrac{21}{20}$ miles per hour

when converting 50 minutes to hours gives us the fraction $\dfrac{5}{6}$

Part b)

The turtle's unit rate is the proportion of distance traversed in relation to the time of hours.

$\text{Unit rate of turtle }=\dfrac{21}{20}$ miles per hour

Svet_ta [9.4K]13 days ago

4 0

Answer:

21/20

Step-by-step explanation:

a) One hour equals 60 minutes.

Therefore, we can convert 50 minutes into hours by multiplying by the fraction $\frac{1 hour}{60 minutes}$ .

This results in:

$50 minutes * \frac{1 hour}{60 minutes}=\frac{50}{60}hours$

If we reduce the fraction, we obtain:

$50 minutes = \frac{5}{6}hours$

b) To determine the speed of the turtle in miles per hour, we need to divide

$\frac{7}{8}miles$ by $\frac{5}{6}hours$

Thus:

$\frac{\frac{7}{8}miles }{\frac{5}{6}hours }$

We simplify by calculating 7 miles multiplied by 6 and 8 by 5 hours:

$\frac{\frac{7}{8}miles }{\frac{5}{6}hours}=\frac{42 miles}{40 hours} =\frac{21 miles}{20 hours}$

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