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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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Which statements are true about David's work? Check all that apply. The GCF of the coefficients is correct. The GCF of the varia
Anon25 [30]

Answer:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

Step-by-step explanation:

Given the polynomial :

80b⁴ – 32b²c³ + 48b⁴c

The Greatest Common Factor (GCF) of the coefficients:

80, 32, 48

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80

32 : 1, 2, 4, 8, 16, and 32

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

GCF = 16

b⁴, b², b⁴

b⁴ = b * b * b * b

b² = b * b

b⁴ = b * b * b * b

GCF = b*b = b²

GCF of c³ and c

c³ = c * c * c

c = c

GCF = c

We can see that David's GCF of the coefficients are all correct

From the polynomial ; 80b⁴ does not contain c ; so factoring out c is incorrect

In step 6 ; the distributive property was used to obtain ; 16b²c(5b² – 2c² + 3b²)

6 0
2 years ago
Read 2 more answers
Solve for x <br> •26.45 <br> •10.93<br> •14.26<br> •22.19 <br> •20.26
ollegr [7]

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

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x =26.44730506

Rounding to 2 decimal places

x = 26.45

8 0
2 years ago
In a survey of 3400 people asked about their ice cream preference, 1600 enjoyed chocolate, 1250 enjoyedvanilla, 1700 enjoyed min
velikii [3]

Answer:

Step-by-step explanation:

To understand the situations we must do a Venn diagram:

The total of people asked is 3400. Then,

a) For People who enjoyed vanilla but not chocolate or mint, seeing the diagram of Venn, we can deduce the equations:

undefined

b) For people who did not enjoy chocolate, vanilla or mint:

undefined

4 0
1 year ago
Which expression is equivalent to 4/9 x 7​
Romashka [77]

Answer:

I think it is 3.1

Step-by-step explanation:

make me brainlyest pls

8 0
2 years ago
Carrie missed 9.6% of the problems on a test. The test had a total of 125 problems.
Nataly_w [17]

Answer:

G 13

Step-by-step explanation:

X/125 = 9.6%/100%

125*(9.6) / 100 = 12;

BEST estimate 13

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