A recipe for modeling clay requires 1/3 cup of salt. How many recipes of clay can Carla make with 7 3/4 cups of salt?

About 23 cups

Step-by-step explanation:

- The error is: (31/4) (1/3)

- The correct solution is:  93/4 =23 1/4 (Carla can make approximately 23 recipes with the clay).

Step-by-step explanation:

1. Carla must divide 31/4 ÷ 1/3 as following:

- Take the reciprocal of .

- Multiply the numerators and the denominators.

Then:(31/4) (1/3) = (31)/4 (3)/1 = 93/4

2. As a mixed number: 93/4 = 23 1/4

3. Therefore, Carla can make approximately 23 recipes with the clay.

- The error is:

- The correct solution is:   (Carla can make approximately 23 recipes with the clay).

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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