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Tpy6a [65]
2 years ago
7

. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores

pastel, al realizar la revisión de su paleta de pintura, este artista cuenta con siete colores fluorescentes y cinco colores pastel. De lo anterior se puede indicar que la cantidad de maneras en que puede realizar la pintura como lo desea es *
A. 305.
B. 350.
C. 405.
D. 450
Mathematics
1 answer:
ycow [4]2 years ago
3 0

Answer: B. 350.

Step-by-step explanation:

Given: Total number of fluorescent colors = 7

Total number of pastel colors = 5

Since , he want three fluorescent colors and two pastel colors.

Number of ways to select r things out of n things = ^nC_r=\dfrac{n!}{r!(n-r)!}

Number of ways to choose colors = ^7C_3\times\ ^5C_2

=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350

Hence, the correct option is B. 350.

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Find the sum of a finite geometric series. The Smiths spent $2,000 on clothes in a particular year. If they increase the amount
boyakko [2]

\bf \stackrel{\textit{first year}}{2000}~~,~~\stackrel{\textit{second year}}{2000+\stackrel{\textit{10\% of 2000}}{\frac{2000}{10}}}\implies 2200

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus \bf 110\%\implies \cfrac{110}{100}\implies 1.1.

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

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7 0
3 years ago
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zysi [14]
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AveGali [126]

\huge\mathscr{\colorbox{blue}{\color{yellow}{Answer:}}}

\large{\rightarrow{6\:(x\:+\:4)\:=\:-\:2\:(4x\:-\:4)\:+\:8x}}

\large{\rightarrow{6\:(x\:+\:4)\:=\:-\:2\:(4x\:-\:4)\:+\:8x}}

\large{\rightarrow{6x\:+\:24\:=\:-\:8x\:+\:8\:+\:8x}}

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\large{\rightarrow{6x\:=\:16}}

\large{\rightarrow{x\:=\:\frac{-\:16}{6}}}\\

\large\pink{\boxed{\color{lime}{\rightarrow{x\:=\:\frac{-\:8}{3}}}}}\\

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So, the answer: 34 months.

God bless!
4 0
3 years ago
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