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mina [271]
3 years ago
7

3. Write the multiplicative inverse of 5/6.​

Mathematics
2 answers:
iris [78.8K]3 years ago
8 0

The multiplicative inverse of a fraction is the reciprocal of the fraction( reverse the numbers)

Answer: 6/5

elena-s [515]3 years ago
5 0

Answer:

\frac{6}{5}

Step-by-step explanation:

Given a number n then the multiplicative inverse is \frac{1}{n}

The multiplicative inverse of \frac{5}{6} is then

\frac{1}{\frac{5}{6} } = \frac{6}{5}

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Find the radius of the sphere with a volume of 32/81π cubic yards. Write your answer as a fraction in simplest form.
alexdok [17]

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=\frac{32\pi }{81} \end{cases}\implies \cfrac{32\pi }{81}=\cfrac{4\pi r^3}{3}\implies \cfrac{96\pi }{81}=4\pi r^3 \\\\\\ \cfrac{96\pi }{324\pi }=r^3\implies \cfrac{8}{27}=r^3\implies \sqrt[3]{\cfrac{8}{27}}=r\implies \cfrac{\sqrt[3]{8}}{\sqrt[3]{27}}=r\implies \cfrac{2}{3}=r

5 0
4 years ago
Write f(x)= a(x-h)2+k and identify the vertex
Nesterboy [21]
Hello : 
2x²+4x-5 = <span>a(x-h)2+k =a(x²-2xh+h²)+k
</span>2x²+4x-5 = ax²-2ahx +ah² +k
a=2.....(1)
-2ah = 4.....(2)
ah²+k=-5...(3)
in (2) : -4h=4      h=-1
in(3) : 2(-1)²+k=-5    k = -7
conclusion : 2x²+4x-5 = 2(x+1)²-7
<span>the vertex is : A(-1,-7)</span>
8 0
3 years ago
A rectangle is 25 in. long and 13 in. wide. What is the area of the rectangle? Enter your answer in the box as a fraction in sim
Anarel [89]
I hope this helps you


Area=length ×width



Area=25×13


Area =325
6 0
4 years ago
What are the coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) ? Enter your answer in th
VMariaS [17]

distance \: xy \:  =  \sqrt{( { (3)}^{2} + {(4)}^{2} ) } \\  =  \sqrt{(9 + 16)}  =  \sqrt{25}  = 5
distance \: xz \:  =  \sqrt{( {(2)}^{2}  + {(6)}^{2} ) }  \\  =  \sqrt{(4 + 36)}  =  \sqrt{40}   \\ =  \sqrt{4}  \times  \sqrt{10}  = 2 \sqrt{10}
3 0
3 years ago
Read 2 more answers
Gary is paid $15.50 per hour in addition to a weekly salary of $50. This week he wants to earn more than $400. Write an inequali
kow [346]

Answer:

15.50h + 50 > 400

Step-by-step explanation:

Given;

Weekly salary = $50 per week

Additional pay = $15.50 per hour

The variable h represent the number of hours worked per week

The total amount earn per week is;

Weekly salary + total additional pay per week

50 + 15.50h

To earn more than $400 this week, the total amount earned in a week must be greater than 400;

15.50h + 50 > 400

Solving the equation we have;

15.50h > 400-50

h > (400-50)/15.50

h > 22.58 hours per week.

6 0
3 years ago
Read 2 more answers
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