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xxMikexx [17]
3 years ago
14

A test worth a total of 100 points contains multiple choice questions worth 3 points each and essay questions worth 11 points ea

ch. There are 20 questions on the test. Use the graphing method to determine how many questions there are of each type.
A) 3 essay and 17 multiple choice
B) 5 essay and 15 multiple choice
C) 6 essay and 14 multiple choice
D) 10 essay and 10 multiple choice
Mathematics
2 answers:
natulia [17]3 years ago
3 0
The correct answer is B
musickatia [10]3 years ago
3 0

Answer:

Test contains 15 multiple choice and 5 essay .

Option (B) is correct .

Step-by-step explanation:

Let us assume that the multiple choice questions be x.

Let us assume that the essay questions be y.

As given

A test worth a total of 100 points contains multiple choice questions worth 3 points each and essay questions worth 11 points each.

Than the equations becomes

3x + 11y = 100

There are 20 questions on the test.

Than the equations becomes

x + y = 20

The two equations are

3x + 11y = 100 and  x + y = 20

Multiply  x + y = 20  by 3 and subtracted from 3x + 11y = 100

3x - 3x + 11y - 3y = 100 - 60

8y = 40

y = \frac{40}{8}

y =  5

put in the equation x + y = 20

x + 5 = 20

x = 20 - 5

x = 15

Therefore test contains 15 multiple choice and 5 essay .


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Answer:

6, 7, and 8

Step-by-step explanation:

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6, 7, and 8 are the ones that work

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2 years ago
Please help me out with this question
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7 0
3 years ago
You read 50 pages in an hour your sister reads 40 pages in an hour how many more pages did you read than your sister reads in 1/
Elena-2011 [213]

To start to figure this problem out, we can first figure out how many more pages you read in an hour compared to your sister.


50 - 40 = 10, so you read 10 more pages in 1 hour.


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If 0° ≤ θ ≤ 90° and cosθ = 11/15 , what is the value of sin (90° - θ)?
igor_vitrenko [27]
11/15=0.7333
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sin(90-47.166572) = 0.7333

first, find the numeric value for 11/15
second to find theta, simply do the <em>inverse</em> cos (which is cos^-1) of the first answer.
now you know theta, just do the sin of 90 - theta and that's it!

since you know whatr cos(theta) is, you just take the inverse cos of that number to get theta and 'reverse' cos, essentially. you are just solving for theta, by reversing the cos function with cos^-1
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3 years ago
Read 2 more answers
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