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Sergeeva-Olga [200]
3 years ago
13

A 100-point test contains a total of 20 questions. The multiple-choice questions are worth 3 points each, and the short response

question are worth 8-points.
A-Write a system of linear equations that represents this situation

B-how many multiple choice questions are on the test?

C- how many short respond questions are on the test?
Mathematics
1 answer:
Lena [83]3 years ago
4 0

Answer: 8 short response questions and 12 multiple choice questions

Step-by-step explanation:

Let m represent multiple choice questions

Let s represent short response questions

m + s = 20 --> Amount of questions

3 m + 8 s = 100 --> Total number of points for each question

Solve using elimination, multiply the first equation by -3

-3m-3s=-60

3 m + 8 s = 100

----------------------

5s=40

s=8

m+8=20

m=20-8

m=12

Therefore, there are 8 short response questions and 12 multiple choice questions

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Solve the system of linear equations by substitution.
melisa1 [442]

Answer:

(1,10)

Step-by-step explanation:

x=1, y=10

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3 years ago
i will give brainliest to whoever answers correctly. this is due in 10 minutes so i would appreciate if you could do it
alexandr402 [8]

Answer:

choice 1) 7

Step-by-step explanation:

6 + (9-1)^2 / 4 x (1/2)^4

6 + 64/4(1/16)

6+16/16

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3 0
3 years ago
In a​ triangle, the measure of the first angle is three timesthree times the measure of the second angle. the measure of the thi
polet [3.4K]

1st angle = 3x

2nd angle = x

3rd angle = 65 +x

3x + x +65+x = 180

5x+65 = 180

5x=115

x = 115/5 = 23

 2nd angle = 23 degrees

 1st angle = 23 x 3 = 69 degrees

3rd angle = 65 +23 = 88 degrees


7 0
3 years ago
in a triangle, the measure of the first angle is twice the measure of the second ane. the measure of the third angle is 72° more
anygoal [31]

Let s represent the measure of the second angle. Then the sum of the three angles of the triangle is ...

... first + second + third = 180°

... 2s + s + (s+72°) = 180° . . . . substitute the given information

... 4s = 108° . . . . . . . . . . . collect terms, subtract 72°

... s = 27° . . . . . . . . . . . . . divide by 4

The first angle measures 54°.

The second angle measures 27°

The third angle measures 99°.

8 0
3 years ago
A sinusoidal function whose period is π/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3. What is the equ
Eddi Din [679]

Answer:

f(\theta)=3+7sin(4\theta)

Step-by-step explanation:

The sinusoidal function has a general form of:

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The period is given by:

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Y is the y-intercept, thus y = 3.

At the maximum value:

f(max) = Y+A\\10 = 3+A\\A=7

At the minimum value:

f(min) = Y-A\\-4 = 3-A\\A=7

Therefore, the equation of the function described is:

f(\theta)=3+7sin(4\theta)

6 0
3 years ago
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