Question: The radius of a circle is 16 cm. Find an equation that expresses the ratio of the circumference of the circle to the circle's diameter as π. Show all steps.

C/d = pi

Step-by-step explanation:

The circumference is given by

C = 2* pi *r

C = 2* pi *16

C = 32 pi

The diameter is 2 times the radius

d = 2*16 = 32

C = pi *d

Divide each side by d

C/d = pi *d/d

C/d = pi

both equations and proportions are better.

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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