Consider the number set: 11, 12, 13, 14 Which value of x in the number set makes the equation 3x+2x-45=20 true?
a.) 11 / b.) 12 / c.) 13 / d.) 14

Answer c)   (13)

Step-by-step explanation:

Begin with 3x+2x-45=20.  Go through the steps of solving this for x.

Combining like terms, we get 5x = 65.

Dividing both sides by 5, we get x = 13.

Answer c)   (13)   is the correct answer/solution/root.

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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