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DENIUS [597]
2 years ago
7

2/3 divided by 9/10 simplified step-by-step

Mathematics
1 answer:
Ksivusya [100]2 years ago
6 0

Answer:

20/27

Step-by-step explanation:

2/3 is the dividend,

9/10 is the divisor,

20/27 is the quotient.

Remember: 2/3 divided by 9/10

2/3 ÷ 9/10 = 2/3 x 10/9. Hence, instead of performing the division, multiplying 2/3 with the reciprocal of 9/10 is the easiest method to find what is 2/3 divided by 9/10 in fraction form.

[RevyBreeze]

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Answer: The expected waiting time is 1\dfrac{2}{3}\ min

Step-by-step explanation:

Since we have given that

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So, the expected waiting time would be

E[x]=\sum xp(x)=3\times \dfrac{1}{3}+1\times \dfrac{2}{3}\\\\=1+\dfrac{2}{3}\\\\=\dfrac{3+2}{3}\\\\=\dfrac{5}{3}\\\\=1\dfrac{2}{3}\ min

Hence, the expected waiting time is 1\dfrac{2}{3}\ min

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3 years ago
What is the solution to the system of equations?
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Answer:

<h2>(-10, 2, 6)</h2>

Step-by-step explanation:

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\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}

x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10

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