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tensa zangetsu [6.8K]
3 years ago
12

A school principal of 890 students needs to determine what percentage of students passed and did not pass a statewide examinatio

n. 300 students passed. Round to the nearest percent.
What percent did not pass the test?
Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

Percentage = 66%

Step-by-step explanation:

Let the number of students that pass be P.

Let the number of students that fail be F.

Given the following data;

Total number of students, T = 890 students

P = 300 students

To find the percentage that failed;

First of all, we would determine the number of students that failed using the mathematical expression given below;

Total students, T = P + F

890 = 300 + F

F = 890 - 300

F = 590

Percentage = \frac {590}{890} * 100

Percentage = 0.6629 * 100

Percentage = 66.29 ≈ 66%

Therefore, the percentage of students that failed or didn't pass is 66%.

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The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How
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Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

C(x) = 0.02(x - 500)^2 + 6000

Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

500^2 = 250000

0.02 * 250000 = 5000

So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

The rest is just standard for completing the square.

5 0
2 years ago
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Answer:

Exact Form:

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Decimal Form:

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Step-by-step explanation:

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2(12x-11)=-4(1-6x)<br><br> Please write out how you got the answer.
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Hello.

2 (12x-11) = -4 (1-6x)

24x-22 = -4 + 24x

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Undefined would be your answer. Be sure to double check.

Hope that helps.

*************************

Disclaimer: Always double check your answer with a reliable source, as mistakes can be made.

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