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katovenus [111]
3 years ago
13

1. How many ways are there to make an octagon with 19 different sticks when order DOESN’T matter?

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Answer: 1. 75582 2. 3047466240

Step-by-step explanation: 1.  If order does not matter, this is a combination problem.  You are choosing 8 sticks from a set of 19. (Octagons have 8 sides.) The formula for combinations of n things chosen r at a time "n choose r" is

2. If order matters, there are more possibilities. This is a permutation problem.  The number of permutations of 19 things taken 8 at a time, "19 permute 8" is Y

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Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes (m) it would take her to eat
kipiarov [429]

Answer:

The answer is 10 minutes.

Step-by-step explanation:

First, convert the known amount of time to a fraction.

6/21 (min over hot dogs).

Set up a proportion.

6/21 = m/35 (m being the number of minutes)

Cross multiply.

210 = 21m

Solve for m. (divide each side by 21)

m = 10

I hope this helps! :)

4 0
4 years ago
A manufacturing company builds construction machinery. It sells 10 machines for $18,100 and 20 machines for $26,600. Which equat
Anon25 [30]
<h3>Answer:</h3>

D. R(x) = 850x +9600

<h3>Step-by-step explanation:</h3>

Selling 10 more machines increased revenue from $18100 to $26600, an increase of ...

... $26,600 -18,100 = $8,500

That is, the revenue increased by $8500/10 = $850 per machine.

Only one answer choice has this number in it:

... D. R(x) = 850x+9600

_____

<em>Check</em>

R(10) = 850·10 +9600 = 8500 +9600 = 18,100 . . . . OK

R(20) = 850·20 +9600 = 17000 +9600 = 26,600 . . . . OK

_____

<em>Comment on answer selection</em>

On multiple-choice questions, it is rarely necessary to work out the solution to the problem completely. Usually, it is sufficient to find the one number that discriminates between correct and incorrect answers.

In real life, answers are rarely multiple-choice. You are required to work the problem completely and to figure out how to tell if your answer is correct.

Here, we have worked the problem far enough to find the slope, the amount by which revenue increases when sales increases by 1 unit. The intercept can be found different ways. One of them is to see what number makes the revenue match for one of the "x" values:

... R(10) = 850·10 +b = 18100

... b = 18100 -8500 = 9600

so ...

... R(x) = 850x +9600

We can check this answer by computing R(20), as we have above.

8 0
3 years ago
Read 2 more answers
Solve the equation. <br><br> 6x+7=8x−15
katen-ka-za [31]
You need to change around the values so that the letters are on one side whereas numbers on the other:

15 +7 = 8x - 6x 
22 = 2x
x = 11.

Hope This Helps!

4 0
3 years ago
Read 2 more answers
(30 points!)<br>which of the following is a true statement?​
slava [35]

Answer:

B OR D

Step-by-step explanation:

7 0
4 years ago
What is the correct answer to 20÷2(5+5)?
poizon [28]

Answer:

To answer the question above, we need to know about the rules of mixed count operation. In mixed count operation, we can find plus [+], minus [-], divided [:], multiplication [x] and parenthesis [(...)]. For example, if the operation is: 7 x 5 + 3 - (4 x 3) : 6  = ...

first, we must finish the operation inside the parenthesis symbol, which is (4 x 3), the result is 12

second, we must finish the operation with the multiplication or divided symbol but, if both exist we must finish the far left-side first. for this example is to finish "7 x 5 = 35" first, then finish the next operation with divided symbol "(4 x 3) : 6 = 12 : 6 = 2"

for the last, we finish the operation with plus or minus symbol, but if both exist then we must finish the far left-side first. For this example is to finish "35 + 3 = 38", then finish the next operation which is "38 - 2 = 36".

there are the rules of mixed count operations, to make it clear we finish the example operation step by step

7 x 5 + 3 - (4 x 3) : 6 = ...

7 x 5 + 3 - 12 : 6 = ...

35 + 3 - 12 : 6 = ....

35 + 3 - 2 = ...

38 - 2 = 36.

now the answer to the mixed count operation above 20 : 2 (5 + 5) = ...

20 : 2 x (5 + 5) = ...

20 : 2 x 10 = ...

10 x 10 = 100

the answer of the operation is 100

Learn More

What is the answer to : 20 / 2(5+5) brainly.com/question/357905

2. What is the correct answer to this math question 50 + 50 - 25 X 0 +2 +2  brainly.com/question/12285329

3. What is the correct answer of 2+2*3+2*2+4=? brainly.in/question/4776145

Answer Details

Subject: Mathematics

Chapter: Mixed Count Operation

Grade: High School

Keyword: What is the correct answer of 2 2?, How do you explain a math problem?, Do you use Bodmas if there are no Brackets?

7 0
4 years ago
Read 2 more answers
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