A running track has two straight sides with length 140 m and two semicircle ends with radius 70 m. It takes Kat 40 seconds to jog 160 m. How long would it take her to jog around the track 51 times? Give your answer in hours and minutes, to the nearest minute.

It would take her 4590 seconds to jog round the track 51 times

Speed is the ratio of the total distance travelled to total time taken. It is given by:

Speed = distance / time

Kat uses 40 seconds to jog 160 m, hence:

Speed = 160 m / 40 s = 4 m/s

The track length = 140 m + 2 * (π * 70) = 360 m

Time taken to jog round the track (t) is:

4 m/s = 360 m / t

t = 90 s

To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds

It would take her 4590 seconds to jog round the track 51 times

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x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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