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nignag [31]
3 years ago
10

How many ways are there to choose a half dozen donuts from 10 varieties a)If there are no two donuts of the same variety.b)If th

ere are at least two varieties.c)If there must be at least one but no more than 4 glazed.
Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Answer:

If multiples are allowed (like "10 plain, two chocolate"), then for each of 12 donuts there are 21 possibilities.

That is 21 x 21 x 21 .... x 21 (12 terms in all) = 21^12

Step-by-step explanation:

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A top is on sale for 30% off. If the top was originally $18.50, what is the sale
bearhunter [10]

Answer:

it will be $12.6 dollars

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Richie spent $120 on 12 rose bushes and 2 gardenias, while Jim spent it $150 on 10 rose bushes and 10 gardenias. What is the cos
Basile [38]
With the given information, we can create several equations:

120 = 12x + 2y
150 = 10x + 10y

With x being the number of rose bushes, and y being the number of gardenias.

To find the values of the variables, we can use two methods: Substitution or Elimination

For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:

We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:

-10(120 = 12x + 2y)
 12(150 = 10x + 10y) => Notice how one of these is negative

Multiply out:

    -1200 = -120x - 20y
 +  1800 =  120x + 120y          => Add these two equations together
---------------------------------
600 = 100y

Now we can solve for y:

y = 6

With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:

120 = 12x + 2y    =>    120 = 12x + 2(6)

Now we can solve for x:

120 = 12x + 12    =>     108 = 12x

x = 9

So now we know that x = 9, and y = 6.

With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.  
4 0
3 years ago
Solve the system of equations:<br> y = 2x<br> y = x2 - 3<br> please help asap
skelet666 [1.2K]

Answer:

y=x squared-2x-3

Step-by-step explanation:

I hope this helps

7 0
3 years ago
I can’t figure this out
patriot [66]

Answer:

m \leq 4.3

Step-by-step explanation:

We need to get m on one side all by itself. To achieve this, let's subtract both sides by 1.2 to get m \leq 5.5-1.2 \implies m \leq 4.3.

7 0
3 years ago
How to simplify this?<br>(3a-b)+2a
taurus [48]

Combine like terms

3a + 2a = 5a

5a - b

5a - b is your answer

hope this helps

4 0
3 years ago
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