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Sveta_85 [38]
4 years ago
5

Aubrey's parents are signing her up for summer camps. If there are 5 weeklong camps to choose from, in how many orders can they

select 3 of the camps to sign her up for?
Mathematics
1 answer:
Tems11 [23]4 years ago
3 0

Answer:

This can be done in a total of 10 ways

Step-by-step explanation:

This is a selection problem.

What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.

Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION

Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways

which is mathematically equivalent to;

n!/(n-r)!r!

now applying this to the problem at hand, what we have is 5C3

= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways

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Molly's basic cell phone plan charges $35.99 for service plus $0.21 per minute beyond the included 250 minutes in the plan. How
Ilia_Sergeevich [38]
The answer is $84.29

Let the number of minutes be x.
$35.99 is fixed price and does not depend on the number of minutes x. Each minute costs $0.21 so it depends on x and we have 0.21x in the function. However, 250 minutes are already included and should not be included in x. Therefore, the function that represents the monthly cost looks like this:
f(x) = 35.99 + 0.21 * (x - 250)

Now, let's calculate for x = 480 minutes:
f(480) = 35.99 + 0.21 * (480 - 250)
f(480) = 35.99 + 0.21 * 230
f(480) = 35.99 + 48.30
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6 0
3 years ago
Which two numbers add up to ___ and multiply to ___?can you help me with this? Multiplied 1 adds to 10
irina [24]

Begin by following the herd . . . call the two numbers 'x' and 'y' .

You said that  xy=1 ,  so  y = 1/x

You said that  x + y = 10, so          x + 1/x = 10

Multiply each side by 'x':                  x² + 1 = 10x

Subtract 10x from each side:   x² - 10x + 1  =  0

Use the quadratic formula to solve this, and the two solutions
that you get for  'x'  are also the two numbers  'x'  and  'y' .
They are

     <em>9.89898</em>
and
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   (rounded)
 


8 0
4 years ago
ASAP!!! help its emergent​
Bezzdna [24]

Answer:

Step-by-step explanation:

F(x)=(5 t^2+t  )x to x+3

=5((x+3)^2-x^2)+(x+3-x)

=5(x^2+6x+9-x^2)+3

=5 (6x+9)+3

=30x+48

F'(x)=30

3 0
3 years ago
Which statement is true about a translation?
ElenaW [278]

Answer:

A

Step-by-step explanation:

A translation is the same shape (cloned)

3 0
3 years ago
What's 1,359 divided by 45
dimaraw [331]

30.2

because if on a caluculator it says ;-;













easy!

4 0
3 years ago
Read 2 more answers
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