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Lerok [7]
3 years ago
6

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

questions are worth 8 points each.
Write a system of Linear Equations that represent this situation. Solve the system.


I REALLY NEED HElP WITH THE TOP PART BUT IF YOU HAVE TIME CAN YOU ANSWER THIS TWO!

How many multible choice questions are on the test?

How many short response questions are on the test?
Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

Answer: 3x+8y=100

x+y=20

x=12

y=8

Step-by-step explanation: x would represent the number of multiple choice questions and y would represent the number of short response questions. the multiple choice questions were 3 points meaning that you need to find x. the short answer response questions were 8 points meaning you need to find y. altogether you need to get 100 points. for the second equation you have 20 questions that need to be both multiple choice and short response. therefore the second equation would be x+y=20. if you solved this, the answer would be that x equals 12 and y equals 8. hope this helped! :))

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A rectangle has the following vertices. Find the area of the rectangle. (9, −1), (−1, 7), (−5, 2), (5, −6)
stiks02 [169]

Answer:  82 sq. units .

Step-by-step explanation:

Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.

Then we plot them on graph ( as provided in attachment)

Length = AB =\sqrt{(9+1)^2+(-1-7)^2} units  [By distance formula : \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]

=\sqrt{(10)^2+(-8)^2}=\sqrt{100+64}=\sqrt{164}=2\sqrt{41} units

Width = BC = \sqrt{(-1+5)^2+(7-2)^2} units

=\sqrt{4^2+5^2}\\\\=\sqrt{16+25}\\\\=\sqrt{41}

Area = length x width

= 2\sqrt{41}\times\sqrt{41}=2\times41= 82\text{ sq. units}

Hence, the  area of the rectangle is 82 sq. units .

7 0
3 years ago
13°38'35" to decimal degrees
babymother [125]

divide 35 by 3600

 divide 38 by 60

add them together

35/3600 = 0.009722

38/60=0.6333

0.6333+0.009722 = 0.64305

 so 13.64305 degrees. round answer as necssary

4 0
3 years ago
Read 2 more answers
A rectangle has a width, w, equal to 6 less than the length, l. Which expressions represent ways to find the perimeter of the re
Irina-Kira [14]

Answer:

4L-12

Step-by-step explanation:

let's assume the length = L

then the width of the rectangle is L - 6

perimeter = 2× (a+b)

where "a" and "b" are the length and the width of the rectangle.

so perimeter = 2× (L + L - 6)

2 × ( 2L - 6)

4L - 12

5 0
3 years ago
6 sqrt (x-2) +4 &lt; 28 <br><br>How do you solve? Btw.. x-2 is under sqrt sign.
Naya [18.7K]

Answer:

Step-by-step explanation:

6\sqrt{x-2}+4

8 0
3 years ago
Find f(-2) if f(x)=4x^2+3x-5
valentina_108 [34]

Answer:

f(-2) = 5

Step-by-step explanation:

To find f(-2), plug in -2 wherever there is an x.

f(x) = 4x² + 3x - 5

f(-2) = 4(-2)² + 3(-2) - 5

f(-2) = 4(4) + 3(-2) - 5

f(-2) = 16 - 6 - 5

f(-2) = 10 - 5

f(-2) = 5

3 0
3 years ago
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