Aturtle 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?
a. to find the turtle’s unit rate, meredith wrote the following complex fraction. explain how the fraction 5/6 was obtained.
b. determine the unit rate when the turtle’s speed is expressed in miles per hour.

a) when changing 50 minutes to hours get fraction

b)  miles per hour

Step-by-step explanation:

A turtle walks of a mile in 50 minutes.

Unit rate of turtle in miles per hours.

Unit rate means number of miles cover in 1 hours.

Distance = miles

Time = 50 minutes

1 minute = hour

50 minutes = hours

 miles per hour

Part a)

 miles per hour

when changing 50 minutes to hours get fraction

Part b)

Unit rate of turtle is ratio of distance covered per unit of hours.

 miles per hour

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).