A physical education teacher plans to divide the seventh graders at Wilson Middle School into teams of equal size of year-ending
1 answer:
Step-by-step explanation:
Consider the provided information.
The total number of students are: 24+26+21=71
He wants each team will have the same number of students between 5 and 9.
The number between 5 to 9 are 6, 7 and 8.
The number 71 is a prime number so we need to divide the 71 students in group so that minimum students left without team.
Dividing 6 students in each group.
Number of teams: = 11 teams and 5 students.
Dividing 7 students in each group.
Number of teams: = 10 teams and 1 students.
Dividing 8 students in each group.
Number of teams: = 8 teams and 7 students.
Thus, we can not divide 71 students into equal teams, but 70 divided by 7 gives the least students left out i.e 10 teams each with 7 students and only 1 student will remain at last.
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Step-by-step explanation:
1.) The average nightly ticket sales can be calculated as
Average sales = Average no. of customers per night x Charge per ticket
For the second night, we have
$1750 = (N)($7)
This gives us N = 250.
So, the average number of customers decreased as a result of the price increase.
To calculate the percentage change, we use the following formula:
% change =
We have -17% change in the average number of customers the theater has each night. The negative sign indicates a decrease in the number, which is consistent with our calculations.
2.) % change in prices =
Therefore, we have 40% change in the cost of ticket per person, which reflects an increase in the prices.
3.) Elasticity of Demand =
Hence, we have = -0.425
This stands consistent with the Law of Demand - as the price increases, the quantity demanded decreases.
4.) Market price is obtained by looking for a point where the quantity supplied equals the quantity demanded. From the table we see that at $75 price, there is a demand for 45,000 units of that product in that market, which the suppliers are willing to supply. Hence, that defines the market price for that product.
The solutions of the quadratic equation 0 = -3x² - 4x + 5 are
and
Step-by-step explanation:
The quadratic formula of the quadratic equation ax² + bx + c = 0, is
To find the solution of the quadratic equation by using quadratic formula
- Find the values of a, b, and c from the quadratic equation
- Substitute these values in the quadratic formula
- Calculate the values of x
∵ -3x² - 4x + 5 = 0
∴ a = -3 , b = -4 and c = 5
- Substitute these values in the quadratic formula
∵
∴
∴
- Simplify by dividing up and down by -2
∴
∵
∴
∴
- Simplify by dividing up and down by -2
∴
The solutions of the quadratic equation 0 = -3x² - 4x + 5 are
and
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