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Galina-37 [17]
4 years ago
6

Which of the following is the solution to 3/x + 2/(x+1) = 3/5x?

Mathematics
1 answer:
sergey [27]4 years ago
3 0

Answer:

3/x + 2/(x+1) = 3/5x

[3 · 5(x + 1) + 2 · 5x] / 5x(x + 1) = 3(x + 1) / 5x(x + 1)

3 · 5(x + 1) + 2 · 5x = 3(x + 1)

15x + 15 + 10x = 3x + 3

15x + 10x - 3x = -15 + 3

22x = -12

x     = -12/22 = -6/11

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Santa and his elves had a workshop that allowed them to produce 22{,}912{,}546{,}99222,912,546,99222, comma, 912, comma, 546, co
zvonat [6]

Answer: 180 times

Step-by-step explanation:

Given the following :

Production capacity of old workshop :22,912,546,992 toys per year

Production capacity of new workshop:

4,134,232,638,937 toys

Approximately how many times as many toys can the new workshop produce each year compared to the old workshop?

Production capacity of new workshop / production capacity of old workshop

= 4,134,232,638,937 / 22,912,546,992

= 180.435

= 180 ( nearest whole number)

3 0
4 years ago
If the ratio of men to women is 3:2 and there are 120 men, how many women would there be?
zavuch27 [327]
There would be 80 women.
Here's the work:
120 divided by 3 = 40 
If the ratio is 3:2, there is always one less woman then men, so you subtract the 40 men in a group and you get your answer of 80

Hope I helped!! :)
5 0
3 years ago
Read 2 more answers
2. Is the expression 2 • 4' equal to the expression 8"? Explain your answer.
liberstina [14]
Yes, this is because 2*4 equals 8
4 0
3 years ago
What is the simplest form of ^4sqrt324x^6y^8
svetlana [45]

\rm{\green{Answer \: is:-}}

3xy \sqrt[24]{ {4x}^{2} }(3xy^2 4 sqrt 4x^2)

Step-by-step explanation:

<h3>Hope it's helpful to you</h3>
3 0
2 years ago
Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation,
xeze [42]

Answer:

D. x-\frac{5}{2}y =  \frac{25}{2}

Step-by-step explanation:

Given

y = \frac{2}{5}x - 5

Required

Determine its equivalent

<em>From the list of given options, the correct answer is</em>

x - \frac{5}{2}y = \frac{25}{2}

This is shown as follows;

y = \frac{2}{5}x - 5

Multiply both sides by \frac{5}{2}

\frac{5}{2} * y = \frac{5}{2} * (\frac{2}{5}x - 5)

Open Bracket

\frac{5}{2} * y = \frac{5}{2} * \frac{2}{5}x - \frac{5}{2} *5

\frac{5}{2}y = x - \frac{25}{2}

Subtract x from both sides

\frac{5}{2}y - x = x -x - \frac{25}{2}

\frac{5}{2}y - x = - \frac{25}{2}

Multiply both sides by -1

-1 * \frac{5}{2}y - x * -1 = - \frac{25}{2} * -1

-\frac{5}{2}y + x =  \frac{25}{2}

Reorder

x-\frac{5}{2}y =  \frac{25}{2}

<em>Hence, the correct option is D</em>

x-\frac{5}{2}y =  \frac{25}{2}

9 0
3 years ago
Read 2 more answers
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