Araceli filled a cone-shaped container with a variety of colored sand to give as a gift to a friend. the volume of a cone is represented by the expression below, where r is the radius of the base of the cone and h is the height of the cone. find the approximate volume of colored sand in the container if it has a radius of inches and a height of inches. use 3.14 for pi. a. 22.608 cubic inches b. 33.912 cubic inches c. 11.304 cubic inches d. 7.536 cubic inches

11.304 cubic inches.

Step-by-step explanation:

Substitute the values of the radius and the height into the expression, and then use the correct order of operations to simplify the expression.

1. Parentheses or Brackets from the inside out

2. Exponents

3. Multiplication and Division from left to right

4. Addition and Subtraction from left to right

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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