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3 years ago

Write the decimal for 1/8. Explain why this decimal is called a terminating decimal

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

Answer:

0.125

Step-by-step explanation:

A terminating decimal has a set or non infinite amount of numbers after the decimal point.

this decimal is a terminating decimal simply because it has an end to it.

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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

3 years ago

2 to the 3rd power times 5 to the 2nd power

nirvana33 [79]

Answer:

200

Step-by-step explanation:

2×2×2=8

5×5=25

8×25=200

5 0

3 years ago

2(3x + 5) − 4(x − 1)

Andreyy89

The answer is ... 2x+14

8 0

3 years ago

Hellppppppp with this twoooooooo

liberstina [14]

15.

0.20*x = 0.01*x + 38 => 0.19*x = 38 =>( 19/100 )*x = 38 => x = 3800/19 => x = 200.

6 0

3 years ago

Maria and Jason are saving gas money for their trip to Boston. Maria has saved $20 more than double what Jason has. Combined Mar

valentina_108 [34]

Answer:

$60

Step-by-step explanation:

Jason saved gas money (x). Maria saved $20 more than double what Jason has (20 + 2x). Combined, they saved $200. Solve for x for Jason's amount.

(x) + (20 + 2x) = 200

x + 20 + 2x = 200

3x + 20 = 200

3x + 20 - 20 = 200 - 20

3x = 180

3x/3 = 180/3

x = 60

Jason saved $60 for this trip.

3 0

3 years ago