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blsea [12.9K]
3 years ago
15

Uma secretária possui 6 camisas, 4 saias, e 3 pares de sapatos. Qual o número de maneiras distintas com que a secretária poderá

se arrumar usando uma camisa uma saia e um par de sapatos?
Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

72 maneiras

Step-by-step explanation:

O que acontecerá aqui é que um de cada tipo de roupa será selecionado.

Das 6 camisas, 1 será selecionada O número de maneiras pelas quais podemos fazer isso é 6C1 = 6

Das saias também, ela estará selecionando uma O número de maneiras que isso pode ser feito é 4C1 = 4

O terceiro é selecionar um par de sapatos de 3 e isso seria 3C1 = 3

assim o número de maneiras pelas quais ela pode fazer as seleções é 6 * 4 * 3 = 72 maneiras

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7 0
3 years ago
Which expression is equivalent to ?
mamaluj [8]

Answer:

Step-by-step explanation:

\frac{(a^{2}b^{4}c)^{2}*(6a^{3}b)*(2c^{5})^{3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{2*2}b^{4*2}c^{2}6a^{3}b2^{3}c^{5*3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{4}b^{8}c^{2}6a^{3}b8c^{15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*8*a^{4+3}b^{8+1}c^{2+15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*2*a^{7}b^{9}c^{17}}{a^{6}b^{12}c{^3}}\\\\=\frac{12a^{7-6}c{17-3}}{b^{12-9}}\\\\=\frac{12a^{1}c^{14}}{b^{3}}\\\\=\frac{12ac^{14}}{b^{3}}

Hint:

x^{m}*x^{n}=x^{m+n}\\\frac{x^{m}}{x^{n}}=x^{m-n},m>n\\\frac{x^{m}}{x^{n}}=\frac{1}{x^{n-m}},n>m

5 0
3 years ago
In the diagram, what is mZVSR?
sesenic [268]

Answer:

80 degrees.

180-100=80

hope that helps

Please said thanks

5 0
2 years ago
What is the area of parallelogram ABCD?
Gnom [1K]

Answer:

What are the units? 13 x 14 ??or 15 x 16 ?

Step-by-step explanation:

Eitther 182 or 240

5 0
3 years ago
To steam rice, Paul uses m cups of water for every p
GenaCL600 [577]

Answer:

\frac{(p + 2)m}{p}

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

<em>The question shows a direct proportion between cups of rice and cups of water.</em>

<em>So, the first step is to get the proportionality constant (k)</em>

<em />

This is calculated using the following expression;

m = k * p

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

k = \frac{m}{p}

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

k = \frac{x}{p + 2}

Equate both expressions of k; to give

\frac{m}{p} = \frac{x}{p + 2}

Multiply both sides by p + 2

(p + 2) * \frac{m}{p} =(p + 2) *  \frac{x}{p + 2}

(p + 2) * \frac{m}{p} =x

x = (p + 2) * \frac{m}{p}

x =  \frac{(p + 2)m}{p}

<em>Hence, the expression that represents the cups of water needed is </em>\frac{(p + 2)m}{p}<em></em>

4 0
3 years ago
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