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mart [117]
3 years ago
7

There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possibl

e committees can be formed that do not include Mark?
Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer:

504 committees

Step-by-step explanation:

In this scenario, there are 9 choices to choose the first person (not 10 because the committee should not include Mark), 8 choices for the second person and 7 choices for the last person so the answer is 9 * 8 * 7 = 504.

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3 years ago
3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

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3 years ago
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Ksivusya [100]
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UNO [17]
Hello!

Question 6:
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The answer is 216 square inches.

Question 7:
The perimeter of the square is 24cm and the area is 36 square cm.
The perimeter of the rectangle is 30cm and the area is 50 square cm. 
They have different perimeters and different areas.

I hope this helps you! Have a great day!
-Mal

4 0
3 years ago
Slope and points y-12=4/9(x+7)
Jlenok [28]

Answer:

y= 4/9x+136/9

Step-by-step explanation:

Write in slope-intercept form, y = mx = b

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