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11111nata11111 [884]
3 years ago
7

87 pencils come in a box. If 3 teachers share 6 boxes equally, how many pencils does each teacher receive?

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

Answer:

Each teacher got 174 pencils

Step-by-step explanation:

First time 87X6 and then divide 3

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Identify whether the series summation of 12 open parentheses 3 over 5 close parentheses to the i minus 1 power from 1 to infinit
Paraphin [41]

Answer:

  This is a convergent geometric series. The sum is 30.

Step-by-step explanation:

In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...

  S = a1/(1 -r)

where a1 is the first term (12) and r is the common ratio (3/5). This gives ...

  S = 12/(1 -3/5) = 12·5/2 = 30

The series is convergent and has a sum of 30.

7 0
3 years ago
7. 4y(5y - 11) – 2y(3y + 10)
Kaylis [27]

Answer:

14y^{2} -64y

Step-by-step explanation:

Hello!

4y(5y - 11)

Distribute the 4y

4y * 5y = 20y^2

4y * -11 = -44y

Put it together

20y^2 - 44y

2y(3y + 10)

Distribute the -2y

-2y * 3y = -6y^2

-2y * 10 = -20y

Put it gether

-6y^2 - 20y

Put it all together

20y^2 - 44y - 6y^2 - 20y

Combine like terms

14y^2 - 64y

The answer is 14y^{2} -64y

Hope this helps!

5 0
3 years ago
A right triangle ABC is shown below:
barxatty [35]
The answer is:  "4" .
______________________________________________________
<u>Note</u>:  The question asks for a whole number.

"The area of the triangle above will equal one half of a rectangle that is 5 units long and <u>  4  </u><u /> units wide.  (Input only whole numbers, such as 8.).
______________________________________________________
<u>Note</u>:  The diagram shows a "right triangle" ; which would be "one-half" of a rectangle, with units of "length" being "5 units" (as mentioned in this very question prompt;  and a width of "4" units (as shown in the diagram;  hence the answer is "4" units). 

Furthermore, the formula/equation for the area, "A" , of a triangle is: 


A = (1/2) * b * h ; 

that is: 

Area = (1/2) * (base length) * (perpendicular height).
_________________________________________________
As such, the answer, "4" (units) makes sense.
_________________________________________________
6 0
3 years ago
Read 2 more answers
The sum of 2 numbers is 100. Twice the first number plus twice the second number is 200. What are the numbers?
dlinn [17]

Answer:

50+50=100

100+100=200

Step-by-step explanation:

The sum of 2 numbers is 100. 50 x 2 = 100

Twice the first number plus twice the second number is 200.

50+50=100 so therfore 100+100 makes 200

6 0
3 years ago
Read 2 more answers
The table shows the average weight of animals. How many more tons does a blue whale weigh than an African elephant? Explain how
AVprozaik [17]

Answer:

The African elephant weighs <u>111.5 tons</u> less than a blue whale.

Step-by-step explanation:

Given:

Animal                         Weight(pounds)

African Elephant            15,000

Blue Whale                   238,000

Now, to find the weight of how more tons does a blue whale weigh than an African elephant.

As given, 1 ton = 2,000 pounds.

So, to convert the weight from pound to tons by dividing:

African elephant =15000\div 2000=7.5\ tons.

Blue whale =238000\div 2000=119\ tons.

Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:

Blue\ whale - African\ elephant

=119 tons-7.5tons

=111.5\ tons

Therefore, the African elephant weighs 111.5 tons less than a blue whale.

8 0
3 years ago
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