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2 years ago

9

marc had 6n marbles. he gave 9 marbles to each of his cousins and had 4n marbles left. find how many cousins marc had in terms o

f n.

2 answers:

Vilka [71]2 years ago

3 0

Answer:

9c=2n

Step-by-step explanation:

6n-9c=4n.

9c=2n

Stella [2.4K]2 years ago

3 0

n = 9/2c, my bad for the wrong answer at first.

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Washer method

$\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}$

Shell method

We have $y=x^{1/15}\implies x=y^{15}$ . The curves $x=y$ and $x=y^{15}$ intersect at $y=0$ and $y=1$ , with $y\ge y^{15}$ over $0\le y\le1$ .

$\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}$

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3 years ago

A Walgreens purchase comes to $28. Find the total cost if a 2% sales tax is included.

OverLord2011 [107]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the difference between decimal and binary numbering systems give examples of when you would use each?

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The difference between decimal and binary system are-

The base-10 system, often known as the decimal system, is the oldest and most widely used system of numbers.
The binary number system, often known as base 2, is used by computers.

<h3>What is decimal system?</h3>

Our daily use of numbers is based on a decimal number system, which uses 10 digits. A number system in mathematics is thought of as the use of digits or symbols to represent numbers.

The binary number system, the decimal number system, the octal number system, and the hexadecimal number system are the four primary varieties of the number system.
Given that it was challenging to multiply & divide big numbers by hand in earlier civilizations, this decimal system system is sometimes called as the Hindu-Arabic and Arabic number system.

<h3>What is binary system?</h3>

The base-2 number system is the binary system. That implies that it solely use the digits 0 and 1. The 1 one location is moved to its left into the 2s place when adding one to one, and a 0 is placed in the ones place, yielding the number 10. In such a base-10 system, 10 thus = 10. 10 = 2 in the base-2 system.

The place values in a base-2 system begin with ones and progress to twos, fours, then eights as one move to its left.
This is due to the base-2 system's foundation in powers of two.
A bit is the term for each binary digit.

Therefore, a binary number system only employs two different digits(0 and 1), whereas decimal number system includes ten different digits (ranging from 0 to 9).

To know more about decimal system, here

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1 year ago