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AleksAgata [21]

2 years ago

14

1 by 6 of a construction work is finished in the first year, 1 by 8 part in the second year and 1 by 12 in the third year how mu

ch work is finished in 3 year

1 answer:

Allisa [31]2 years ago

3 0

Answer:

3/8

Step-by-step explanation:

first year's work is 1/6

second year's work is 1/8

third year's work is 1/12

combining all 3 gives us

1/6 + 1/8 + 1/12

which simplifies to 3/8

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kari74 [83]

Answer:

7.5

Step-by-step explanation:

7 0

3 years ago

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If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

erma4kov [3.2K]

Answer:

$\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Step-by-step explanation:

Given

5 tuples implies that:

$n = 5$

$(h,i,j,k,m)$ implies that:

$r = 5$

Required

How many 5-tuples of integers $(h, i, j, k,m)$ are there such that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

$^{n}C_r => ^{n + 4}C_5$

$^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}$

$^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}$

Expand the numerator

$^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

<u><em>Solved</em></u>

6 0

2 years ago

Dion is out shopping and finds a basketball jersey originally valued at $128.00. it is now on sale for 75% of the original price

Fittoniya [83]

Answer:

$96

Step-by-step explanation:

$128 X 78/100

= $128 X .75

= $96

Dion would buy it, he's rich

7 0

2 years ago

What is the area of this composite figure?

Mkey [24]

We have two congruent trapezoids.

The formula of an area of a trapezoid:

$A=\dfrac{base_1+base_2}{2}\cdot\ height$

We have:

$base_1=210\ mm\\\\base_2=150\ mm\\\\height=55\ mm$

Substitute:

$A=\dfrac{210+150}{2}\cdot55=\dfrac{360}{2}\cdot55=180\cdot55=9,900\ mm^2$

Answer:

$2A=2\cdot9,900\ mm^2=19,800\ mm^2$

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3 years ago

Why is Wikipedia not considered to be a credible source?

UNO [17]

Answer: b

Step-by-step explanation:

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3 years ago

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