The library is 0.45 mile west of the school. The police station is 1.3 miles west of the school. The post office is halfway between the library and the police station. How far west of the school is the post office?

0.875 miles

Step-by-step explanation:

Hi, to answer this question, first we have to subtract the School -library distance (0.45) to the school -police station distance (1.3) to obtain the distance between the library and the police station:

L-P = 1.3-0.45 = 0.85

Since the post office is halfway between the library and the police station, we have to divide that distance by 2:

0.85 /2 = 0.425

Finally we add the Library-school distance:

0.425+0.45 = 0.875 miles  

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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