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LenKa [72]
3 years ago
15

Your math test has 38 questions and is worth 200 points. This test consists of multiple-choice questions worth 4 points each and

open-ended questions worth 20 points each. How many of each type of question are there?
Mathematics
1 answer:
Furkat [3]3 years ago
8 0

Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3

Step-by-step explanation:

Let x represent the number of multiple-choice questions in the math test.

Let y represent the number of open-ended questions in the math test.

The math test has 38 questions. It means that

x + y = 38

This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that

4x + 20y = 200 - - - - - - - - - -1

Substituting x = 38 - y into equation 1, it becomes

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

48/16

y = 3

Substituting y = 3 into x = 38 - y, it becomes

x = 38 - 3 = 35

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To answer the question, we need to know what tanθ is

<h3>What is tanθ?</h3>

Tanθ is a trigonometric identity which is the tangent of the angle .

Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.

Also, the sine of the angle θ is sinθ = x/1 = x

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Since we have that

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Substituting the values of the variables y and x into tanθ, we have

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2 years ago
A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after th
Bogdan [553]
T = 5, so after 5 years
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p’(t) = (3t - 2)(t - 5)
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Plug 2/3 into original equation, this is a maximum. We want the minimum:

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5 = t

Plug back into original:
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