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IrinaVladis [17]
3 years ago
11

There are a total of 84 students in a drama club and a yearbook club. The drama club has 16 more students than the yearbook club

. How many students are in the drama club? the yearbook club?
Mathematics
1 answer:
vodomira [7]3 years ago
7 0
Y = yearbook club
d = drama club

y + d = 84
d = y + 16

now we sub y + 16 in for d in the first equation
y + d = 84
y + (y + 16) = 84
2y + 16 = 84
2y = 84 - 16
2y = 68
y = 68/2
y = 34 <=== yearbook club students

d = y + 16
d = 34 + 16
d = 50 <=== drama club students
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3 years ago
elect the best answer for the question. 16. Which answer choice contains all the factors of 10? A. 1, 2, 5 B. 2, 5 C. 1, 2, 5, 1
ruslelena [56]
The coorect answer is C. 1, 2, 5, 10
8 0
3 years ago
A Cylinder has a base radius of 7m and a height of 14m. what is its volume in cubic in to the nearest tenths place
Mars2501 [29]

Answer:

2155.1 m^3

Step-by-step explanation:

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7 0
3 years ago
Hello! How do I find the surface area of this prism? Thanks!
Studentka2010 [4]
Answer: Choice C) 124 square cm

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

Explanation:

Let's calculate the area of the trapezoid shown
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b1 = 2
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h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
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A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
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d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
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8 0
3 years ago
The frequency table shows the scores from rolling a dice 10 times work out the mean
chubhunter [2.5K]
<h3>Answer:   3.8</h3>

==========================================================

Explanation:

For each row, multiply the values straight across.

  • Row one: 1*1 = 1
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  • Row three: 3*0 = 0
  • Row four: 4*2 = 8
  • Row five: 5*1 = 5
  • Row six: 6*3 = 18

The list of products we got were: 1, 6, 0, 8, 5, 18

Add up those products to get: 1+6+0+8+5+18 = 38

The value 38 represents the total value if we were to add up all of the results of each die roll (it shows up again in the next section). We divide this over the total frequency, which is the sum of everything in the second column. That total frequency being 1+3+0+2+1+3 = 10.

So the mean is 38/10 = 3.8

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

A longer way to do this is to expand each value based on the frequency shown. The value '1' shows up one time, so we just write "1" once. The value "2" shows up three times, so we write "2" three times. So far the list is {1,2,2,2}

The value "3" doesn't show up at all, so we skip to "4" which shows up twice. The updated data set so far is {1,2,2,2,4,4}

Then it updates again to {1,2,2,2,4,4,5} when we account for the single "5"

Finally, the fully up to date list of values is {1,2,2,2,4,4,5,6,6,6}

Computing the mean of this set has us add up the values to get 1+2+2+2+4+4+5+6+6+6 = 38. We have that "38" show up again, which is not a coincidence. We divide over 10 because there are ten values in the fully up to date list shown above. So this is a different method to get the mean of 3.8

If you prefer this second method, then you should use it; however, I recommend the first method as it's faster and more efficient. It might be handy to try both methods just for practice.

6 0
3 years ago
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