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Gemiola [76]
3 years ago
7

A gallery has 25 paintings in its permanent collection, with display space for 10 at one time. How many different collections ca

n be shown?
Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0

Answer:

I just did it on edg

Step-by-step explanation:

The correct answer is D

3,268760

Hope this helps

Please mark me as Brainliest

Anastaziya [24]3 years ago
6 0
You need to know in how many ways you can choose 10 out of 25 items when order does not matter. This is a combination problem.

_{n}C_{r} =  \dfrac{n!}{(n - r)!r!}

_{25}C_{10} =  \dfrac{25!}{(25 - 10)!10!}

_{25}C_{10} =  \dfrac{25 \times 24 \times 23 \times 22 \times 21 \times 20 \times 19 \times 18 \times 17 \times 16 \times 15!}{15! \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}

_{25}C_{10} =  \dfrac{25 \times 24 \times 23 \times 22 \times 21 
\times 20 \times 19 \times 18 \times 17 \times 16}{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 
\times 2 \times 1}

_{25}C_{10} =  \dfrac{23 \times 11 \times 20 \times 19 \times 2 \times 17}{1}

_{25}C_{10} = 23 \times 11 \times 20 \times 19 \times 2 \times 17

_{25}C_{10} = 3,268,760

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MAVERICK [17]
43x5= 215
215 pupils
215-200=15
15 seats
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2 years ago
Read 2 more answers
Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change
Afina-wow [57]
First, lets create a equation for our situation. Let x be the months. We know four our problem that <span>Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
</span>f(x)=25x+100
<span>
We want to find the average value of that function </span>from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is: \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1} }. So lets replace the values in our formula to find the average of our function:
\frac{25(10)+100-[25(2)+100]}{10-2}
\frac{350-150}{8}
\frac{200}{8}
25

We can conclude that <span>the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.</span>
6 0
3 years ago
A tractor was purchased for $30,000 six years ago. what is the value of the tractor today if the depreciation rate was 2.5%?
MrRissso [65]
Initial cost = $30,000
Depreciation rate = 2.5%

Depreciation expense per year = 30,000*2.5/100 = $750
In six years,
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6 0
3 years ago
Help me with this problem !!!!!!!!!!
Mamont248 [21]

Answer:

Hi, your answer is y=-\frac{1}{2} x-3

Step-by-step explanation:

We will use the slope-intercept formula which is

\frac{y2-y1}{x2-x1}

We will use two points in this case I'll use

(-2,-2) and (-8,1)

\frac{1-(-2)}{-8-(-2)}=-\frac{3}{6} which can be simplified as -\frac{1}{2}

Your Y will be -3

which your final answer will be y=-1/2x-3

Hope this helps :)

3 0
3 years ago
Suppose you are finding 296 divided by 4 using partial quotients. Is 50 or 70 a more reasonable partial quotient? Explain.
Lyrx [107]
Round 296 up to 300 and then divide 300 by 4 mentally.  Answer:  75.  Which is a more reasonable partial quotient, 50 or 70?
8 0
3 years ago
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