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leonid [27]
3 years ago
13

Pls answer me this all question​

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0

Answer:

a. 5 \frac{21}{40}

b. \frac{1}{42}

Step-by-step explanation:

a. \: 12 \frac{2}{5}  - 6 \frac{7}{8}

\frac{62}{5}  -  \frac{55}{8}

\frac{62}{8}  \times   \frac{8}{8}  -   \frac{55}{8}   \times  \frac{5}{5}

\frac{62 \times 8 - 55 \times 5}{40}

\frac{221}{40}

5 \frac{21}{40}

b. \:  \frac{3}{14}  -  \frac{4}{21}

\frac{3}{14}  \times  \frac{3}{3}  -  \frac{4}{21}  \times  \frac{2}{2}

\frac{3 \times 3}{42}  -  \frac{4 \times 2}{42}

\frac{1}{42}

Hope it is helpful....

Eddi Din [679]3 years ago
3 0

Answer:

A.

5  \frac{21}{40}

B.

\frac{1}{42}

Step-by-step explanation:

A )

12 \frac{2}{5}  =  \frac{62}{5}  \\ 6 \frac{7}{8}  =  \frac{55}{8} \\  =  \frac{62}{5}  \times  \frac{8}{8}  =  \frac{275}{40} \\ \frac{55}{8}  \times  \frac{5}{5}  \\  \frac{496 - 275}{40}  \\  =  \frac{221}{40}  \\  = 5 \frac{21}{40}

B )

\frac{3}{14}  \times  \frac{3}{3}  =  \frac{9}{42}  \\  \frac{4}{21}  \times  \frac{2}{2}  =  \frac{8}{42}  \\  =  \frac{9 - 8}{42}  \\  =  \frac{1}{42}

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Mars2501 [29]

Answer:

A. 336

B. Arranging 3 people in 8 chairs.

C. 42

B. Arranging 2 people in 7 chairs.

Step-by-step explanation:

A.

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Formula for Permutation is given as:

P(n, r) = \dfrac{n!}{(n-r)!}

Putting the value of n = 8 and r =3 , we get:

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B. Real world situation for part A:

Arranging 3 people on 8 chairs.

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C.

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Formula for Permutation is given as:

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Putting the value of n = 7 and r = 2 , we get:

P(7, 2) = \dfrac{7!}{(7-2)!} \\\Rightarrow \dfrac{7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 7 \times 6 \\\Rightarrow 42

D.  Real world situation for part AC:

Arranging 2 people on 7 chairs.

First person has 7 options.

Second person has 6 options.

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