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STatiana [176]
2 years ago
12

he has 1/6 of the pie left over. if he shares it with three friends, how much of original pie will each of the four people get?

if he decides to only share it with his little brother, how much will he and his brother each get?
Mathematics
2 answers:
andriy [413]2 years ago
4 0
Friends 1/24
Brother 1/12
mario62 [17]2 years ago
3 0
Sharing with three friends:
1/24 of original pie
Sharing with little brother:
1/12 of original pie
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(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

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Step-by-step explanation:

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Step-by-step explanation:

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Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base
Ronch [10]

Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.

<h3>How to calculate the perimeter?</h3>

In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.

<u>Given the following data:</u>

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From the middle, the diameter of this circle is given by:

D = 1/2 (10 + 13)

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Now, we can calculate the perimeter:

Perimeter = πD

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Read more on trapezoid here: brainly.com/question/4758162

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