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VladimirAG [237]
3 years ago
5

Find the quotient. y^9 ÷ y^3

Mathematics
2 answers:
professor190 [17]3 years ago
5 0

Answer:

y^6

Step-by-step explanation:

Lelechka [254]3 years ago
5 0

<u>ANSWER: </u>

\bold{\text { The quotient of } \frac{y^{9}}{y^{3}} \text { is } y^{6}}

<u>SOLUTION: </u>

Given that find the quotient  of:

y^{\wedge} 9 \div y^{\wedge} 3

\text { So, we have to find the quotient of } \frac{y^{9}}{y^{3}}

We know that, quotient is the factor by which the dividend is divided by divisor.

So, the product of divisor and dividend should be equal to dividend.  

\text { Here we can neglect remainder, as } y^{9} \text { is multiple of } y^{3}

Let the quotient be x,

\begin{array}{l}{\text { Then }_{}\left(y^{3}\right)(x)=y^{9}} \\\\ {x=\frac{y^{9}}{y^{3}}=y^{9-3}=y^{6}} \\\\ {\text { Hence, the quotient of } \frac{y^{9}}{y^{3}} \text { is } y^{6}}\end{array}

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Mr. Dunbar takes his wife out to dinner at Macados to celebrate the holidays. Their total bill was $48.36 but he had a coupon to
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Answer:

$51.38 or $60.45

Step-by-step explanation:

$48.36 minus 15 percent is $41.10. If you're tipping the waitress 25 percent from that price, then it would be $51.38. If you're tipping the waitress 25 percent from the original price, it would be $60.45.

3 0
3 years ago
The difference between two positive numbers is 5 and the square of their sum is 169. find the two numbers.
Ganezh [65]
Regards, !!!
ArmyCee:)

6 0
3 years ago
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Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1
Verizon [17]

A= 1.142 m/hr

Width of beach at 8 p.m. = 36 m

Width of beach at 3 a.m. = (36-8) m =28 m

Average change in width(A) = change in width (Width of beach at 8 p.m.-Width of beach at 3 a.m.0/ time in hours

A= ( 36-28)/ 7

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3 0
3 years ago
Find the circumference and area of a circle with the diameter AB,<br> A(-8,4) and B(4,-1)
bezimeni [28]

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[4-(-8)]^2+[-1-4]^2}\implies AB=\sqrt{(4+8)^2+(-1-4)^2} \\\\\\ AB=\sqrt{144+25}\implies AB=\sqrt{169}\implies \stackrel{\textit{diameter}}{AB=13}~\hfill \boxed{\stackrel{\textit{radius}}{6.5}} \\\\[-0.35em] ~\dotfill

\bf \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad C=2\pi (6.5)\implies C=13\pi \implies C\approx 40.84 \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (6.5)^2\implies A=42.25\pi \implies A\approx 132.73

5 0
3 years ago
When twice a number is subtracted from 29 the result is 21 find the number
Gre4nikov [31]
X= a number

29 - 2x= 21
subtract 29 from both sides
-2x= -8
divide both sides by -2
x= 4

CHECK:
29 - 2x= 21
29 - 2(4)= 21
29 - 8= 21
21= 21

ANSWER: The number is 4.

Hope this helps! :)
4 0
3 years ago
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