Tomorrow, Mrs. Wendel's class will be using toothpicks for a science project. Each student must use at least 9 toothpicks for th
2 answers:
Answer:
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 .
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Since we are given r, we can set up the equation and solve for V.
![0.3= \sqrt[3]{ \frac{3V}{4 \pi } }](https://tex.z-dn.net/?f=0.3%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3V%7D%7B4%20%5Cpi%20%7D%20%7D%20)
Now, we cube both sides to get rid of the cube root. This equals:
Next, we multiply both sides by 4 pi to get rid of the fraction:
Now, we can simply divide both sides by 3 to find V
So, the volume is 0.11 cubic mm.
Now, we cube both sides to get rid of the cube root. This equals:
Next, we multiply both sides by 4 pi to get rid of the fraction:
Now, we can simply divide both sides by 3 to find V
So, the volume is 0.11 cubic mm.
Answer:
Rebecca and Dan need to ride on the third day in order to achieve goal of biking.
Step-by-step explanation:
Given:
Goal of Total number of hours of biking in park =20 hours.
Number of hours rode on first day =
So we will convert mixed fraction into Improper fraction.
Now we can say that;
To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.
can be Rewritten as
Number of hours rode on first day =
Also Given:
Number of hours rode on second day =
can be Rewritten as
Number of hours rode on second day =
We need to find Number of hours she need to ride on third day in order to achieve the goal.
Solution:
Now we can say that;
Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.
framing in equation form we get;
Number of hours she need to ride on third day =
Now we will use LCM to make the denominators common we get;
Number of hours she need to ride on third day =
Now denominators are common so we will solve the numerator we get;
Number of hours she need to ride on third day =
Hence Rebecca and Dan need to ride on the third day in order to achieve goal of biking.
Answer:
Step-by-step explanation: