1. Chelsea can paint a fence in 9 hours, and Greg can paint the same fence in 7 hours. How long does it take them to paint the fence if they work together? Round to the nearest tenth. 2. Tom left the mall and drove south. George left 2 hours later driving 36 mph faster to catch up with Tom. After 3 hours, he caught up with Tom. Find Tom’s average speed

72 mph

54 mph

90 mph

36 mph

Step-by-step explanation:

The sum of the rates of painting, in fences per hour, is ...

  1/9 + 1/7 = (9+7)/63 . . . . fences per hour

The total rate in hours per fence is the inverse of that:

  63/16 = 3 15/16 ≈ 3.9 . . . hours to paint the fence

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The relevant relationship is ...

  distance = speed × time

Let t represent Tom's speed in miles per hour. Then George's speed is (t-36). They both have traveled the same total distance at the point where Tom catches up.

  (2+3)(t-36) = 3t

  2t = 180 . . . . . . . add 180-3t

  t = 90 . . . . . . divide by 2

Tom's average speed is 90 miles per hour.

- 70

this is the answer for you hope it

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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