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3 years ago

What does the quotient rule of exponents say?

1 answer:

5 0

Dividin exponents with same base, subtract BOTTOM exponent FROM TOP exponent to get resulting exonent with same bse

basically
$\frac{x^{m}}{x^{n}}$ = $x^{m-n}$

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A coffee shop sold 7 cups,3 pints, and 9 quarts of coffee. Express the number of cups of coffee sold in base 2

sweet-ann [11.9K]

Answer:

The total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$ .

Step-by-step explanation:

Considering the following information

$1$ cup = $1$ cup

$7$ pints = $14$ cups ∵ $1$ pint = $2$ cups
$9$ quarts = $36$ cups ∵ $1$ quart = $4$ cups

So, total number of cups will be = $51$ cups

Converting $51$ to the base $2$

Divide $51$ by $2$ by repeatedly and observe remainder

$\frac{51}{2}=25\quad \mathrm{Remainder}\quad \:1$

$\frac{25}{2}=12\quad \mathrm{Remainder}\quad \:1$

$\frac{12}{2}=6\quad \mathrm{Remainder}\quad \:0$

$\frac{6}{2}=3\quad \mathrm{Remainder}\quad \:0$

$\frac{3}{2}=1\quad \mathrm{Remainder}\quad \:1$

$\frac{1}{2}=0\quad \mathrm{Remainder}\quad \:1$

Read and observe the remainder from top to bottom would yield $110011$ .

Therefore, the total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$ .

Keywords: base 2, number

Learn more about number bases from brainly.com/question/13725148

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8 0

3 years ago

What is [3.4(6x+2)+3]+4p-3x? PLS need help

inna [77]

Step 1: simplify

[3.4 ( 6 x + 2 ) +3] + 4 p -3 x

Pemdas!

6x+2=8x

3.4+3=6.4

6.4+8x=14.4

14.4x+4p=18.4xp+3= 21.4xpx

x=8

p=18.4

Other x = 21.4

3 0

3 years ago

G(-3) if g(x)=2x-4 show your work

stiks02 [169]

Answer:

g(-3) = -10

Step-by-step explanation:

All you have to do is plug -3 in for x!

g(-3) = 2(-3) - 4

g(-3) = -6 - 4

g(-3) = -10

3 0

2 years ago

Giving 20 points to the right person if your wrong your getting reported

Paha777 [63]

Answer:

730

Step-by-step explanation:

A(X)= 2πRH+2πR^2

A(X)=2π(7.5)(8)+2π(7.5)^2=730.42 = 730

8 0

3 years ago

A rectangular room is 3 3 times as long as it is wide, and its perimeter is 64 64 meters. find the dimension of the room.

lora16 [44]

Perimeter = 2L + 2W (where L = length and W = width)

And we are given that L = 3W

So substituting for L, we have the equation:-

2(3W) + 2W = 64

6W + 2W = 64

8W = 64

W = 8 meters

So the length = 3*8 = 24 meters

Answer:- Length = 24 m and Width = 8 m.

4 0

3 years ago