Acircular jogging track forms the edge of a circular lake that has a diameter of 2 miles. johanna walked once around the track at the average rate of 3 miles per hour. if t represents the number of hours it took johanna to walk completely around the lake, which of the following is a correct statement?
a. 0.5
b. 1.75
c. 2.0
d. 2.5
e. 3

Given:

Diameter of lake = 2 miles

∴ = 1 miles  

The circumference of the lake can be computed as :

Circumference = 2πr

Circumference = 2×3.14×1 = 6.28 miles

This circumference is the total distance traveled by Johanna.

We are give the speed at which Johanna jogs, i.e. Speed = 3 miles/hour

∴ Time taken by Johanna to jog around the lake is given as :

Time = 2.093 hours

∴ The correct option is (c.)

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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3 3 6, because in every triangle the longer side is always shorter than the sum of the other two