Tomorrow, mrs. wendel's class will be using toothpicks for a science project.  each student must use at least 9 toothpicks for the project.  mrs. wendel knows that there is already a bag of 50 toothpicks in the class storage room.  she plans to buy  x  additional toothpicks this afternoon to make sure her class will have enough. if her class has  30 students, which number sentence represents this situation?

Number of toothpicks required per student = At least 9

Total number of students = 30

Number of toothpicks required for the entire class = At least 9 × 30 = At least 270

Number of toothpicks in the bag in the class storage room = 50

Additional number of toothpicks required to be bought to make sure there are enough toothpicks = 270 - 50 = 220

Hence, she needs to buy 220 toothpicks.

Step-by-step explanation:

We have been given that Each student must use at least 9 toothpicks for the project. Her class has 30 students.

First of all, we will find the total number of toothpicks needed for 30 students by multiplying 30 by 9 that is .

Mrs. Wendel knows that there is already a bag of 50 toothpicks in the class storage room. She plans to buy x additional toothpicks this afternoon to make sure her class will have enough.

So the total number of toothpicks that Mrs. Wendel has would be .

The number of total amount of sticks Mrs. Wendel has, should be greater than or equal to 270.

Therefore, our required inequality would be .

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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step-by-step explanation: