Rick and james live 285 miles apart. at the same time, they start driving toward each other on the same road. rick’s constant rate is 40 mph. james’ is 55 mph. how long will it take them to meet?

  3 hours

Step-by-step explanation:

Their closing speed is 40 +55 = 95 miles per hour. At that rate of covering ground, the 285 mile separation will disappear in ...

  time = distance/speed

  time = (285 mi)/(95 mi/h) = 3 h

They will meet in 3 hours.

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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