The number 72 lies between the perfect squares

Step-by-step explanation:

Since 8 x 9 = 72, let's try 8 x 8 and 9 x 9 and see if they result in the 2 perfect squares on either side of 72.

8 x 8 = 64, lower than 72, so, correct.

9 x 9= 81, higher than 72, so, correct.

ANSWER: 72 lies between the perfect squares 64 and 81.

I'm always happy to help :)

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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