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blondinia [14]
3 years ago
10

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 with 8 points each. write a system of linear equations that represents this situation.
Mathematics
1 answer:
Sergio [31]3 years ago
3 0
Let m = number of multiple choice questions
 Let s = the number of short response questions  
The system of linear equations for this situation is:
 m + s = 20
 3m + 8s = 100
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NikAS [45]
If two chords of a circle are congruent, then their intercepted arcs are congruent  ⇒ <span>CO≅HZ</span>
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3 years ago
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Find the possible dimensions of the picture above please
Svetlanka [38]

Answer:

(2x – 7) × (2x + 7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = (4x² – 49) m²

Dimension =?

The picture in the question above has a rectangular shape. Thus, the area is given by:

Area (A) = Length (L) × Width (W)

A = L × W

The dimension of the shape will be:

L × W

Now, we shall determine the dimension (L × W) as follow:

Area (A) = (4x² – 49) m²

Dimension (L × W) =?

A = L × W

L × W = 4x² – 49

Recall:

4 = 2²

49 = 7²

Thus,

L × W = 2²x² – 7²

L × W = (2x)² – 7²

Different of two squares

L × W = (2x – 7)(2x + 7)

L × W = (2x – 7) × (2x + 7)

Dimension = (2x – 7) × (2x + 7)

Therefore, the possible dimension (L × W) of the shape is (2x – 7) × (2x + 7)

4 0
3 years ago
I need step by step explanation for this!
damaskus [11]

Answer:

61

Step-by-step explanation:

  1. 13 - 1 = 12
  2. 12 ÷ 2 = 6
  3. Put 6 and 1 together: 61

Therefore, the number is 61

Let's check:

  1. 6 × 2 = 12
  2. 12 + 1 = 13

The sum of the two digits is 13, and we got that, so we are correct. The number is 61.

5 0
3 years ago
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Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not repre
Ber [7]

Answer:

The mean cholesterol levels

= 173873.7

Step-by-step explanation:

For The mean

The mean is going to be sum of the numbers divide by the number

Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10

Mean =1738737/10

= 173873.7

For Median

Wee arrange ascending order

130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240

Median = (165165+170170)/2

Median = 335335/2

Median = 167667.5

Mode = 130130

4 0
3 years ago
What's the answer?????????????
Taya2010 [7]

Answer:

BD = 12 :)

Step-by-step explanation:

Alright, we'll need the Pythagorean theorem for this!

So, the length of AC is 10. That means the lengths of AD and DC are both half of that, which is 5 :)

DC = 5

We already know that BC = 13, so we can plug in these values into the pythagorean theorem for the right triangle BDC:

BD^2 + DC^2 = BC^2

BD^2 + 5^2 = 13^2

BD^2 + 25 = 169

BD^2 = 169 - 25 = 144

BD = √144 = 12 :)

3 0
3 years ago
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