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kvasek [131]
2 years ago
10

What is the solution to the linear equation? 2/3x - 1/2=1/3 + 5/6x

Mathematics
1 answer:
Alexxx [7]2 years ago
7 0

Answer:

The answer is x = -5

Step-by-step explanation:

2/3x - 1/2 = 1/3 + 5/6. First, multiply the entire equation by the common denominator of 6. This will get rid of the fractions. :)

6(2/3x - 1/2) = 6(1/3 + 5/6x)

4x - 3 = 2 + 5x subtract 5x from both sides

4x - 5x - 3 = 2 add 3 to both sides

4x - 5x = 2 + 3 combine terms

-x = 5 multiply by -1 to make x positive

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(y + 4 / 2y) + (y-2 / 3) = (3y^2 + 10 / 6y) for y<br>{-2, 1}<br>{-2, 3}<br>{}
vaieri [72.5K]

Answer:

{-2, 1}

Step-by-step explanation:

\frac{y+4}{2y} +\frac{y-2}{3} =\frac{3y^2+10}{6y}

Make the fractions have a common denominator.

\frac{3}{3} (\frac{y+4}{2y}) +\frac{x}{y} (\frac{y-2}{3}) =\frac{3y^2+10}{6y}\\\frac{3y+12}{6y} +\frac{2y^2-4y}{6y} =\frac{3y^2+10}{6y}\\\frac{2y^2-y+12}{6y} =\frac{3y^2+10}{6y}

Now that both sides of the equation have a common denominator, you can cancel out the denominators.

2y^2-y+12=3y^2+10

Now, set the equation equal to zero and factor.

2y^2-y+12=3y^2+10\\-y^2-y+2=0\\(-y-2)(y-1)=0\\\\-y-2=0\\y=2\\\\y-1=0\\y=-1

The y-values are {-2, 1}

6 0
2 years ago
The mass of 3 washers, when converted to kg is
spayn [35]

Answer:

Step-by-step explanation:

272.155 kg

3 0
3 years ago
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Bag A contains 3 red balls and 3 blue balls.
dezoksy [38]

Answer:

30% probability that the ball taken from B is red.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Red ball from urn A:

3/6 = 1/2 probability of getting a red ball from urn A.

Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.

Blue ball from urn A:

3/6 = 1/2 probability of getting a blue ball from urn A.

Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.

Total:

p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}

3/10 = 0.3 = 30%.

30% probability that the ball taken from B is red.

4 0
3 years ago
estimate 0.00792398 to the nearest thousandth. Express your answer as a single-digit times a power of ten
Marianna [84]

Answer: \approx8*10^{-3}

Step-by-step explanation:

In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:

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  • If it is greater than or equal than 5, you must round up.

In this case, given the number:

0.00792398

You can notice that the digit to the right of the digit in the thousandth place is 9.

Since 9>5, you must round up. Then:

0.00792398\approx0.008

Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:

\approx8*10^{-3}

5 0
2 years ago
How is the percent efficiency of a machine determined?
Stels [109]

The answer is B. I just answered this question earlier!

8 0
3 years ago
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