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vodomira [7]
3 years ago
13

Help, with solving rational equations! I am no good at it :( Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over

10. (2 points)
x = -3

x = 2

x = -3 and x = 2

No Solution
Mathematics
1 answer:
mamaluj [8]3 years ago
4 0
If this is your equation: \frac{2}{5} + \frac{3}{5x} = \frac{x+5}{10}
Solution:
LCD for 5 and 5x is 5x
\frac{x}{x} ( \frac{2}{5} )+ \frac{3}{5x} = \frac{x+5}{10}
\frac{2x}{5x} + \frac{3}{5x} = \frac{x+5}{10}
\frac{2x+3}{5x} = \frac{x+5}{10}
10(2x+3)=5x(x+5) ←cross product
20x + 30 = 5x² + 25x  ←simplify with distributive property
0 = 5x² + 5x - 30 ←use inverse operations to collect all terms on one side
0 = x² + x - 6  ←if possible divide by numerical GCF (This case 5)
0 = (x + 3)(x - 2) ←Factor
x = -3 or x = 2
Please check by substitution in original equation... Both work
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Three-fourths of the sum of six times a number and twelve distribute
dimaraw [331]

Answer:

Step-by-step explanation:

Let x be the number.

6 times the number = 6*x = 6x

Sum of 6 times of a number and twelve = 6x + 12

Three-fourths of the sum of 6 times of a number and twelve = \frac{3}{4}(6x +12)

\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\

                = \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9

6 0
3 years ago
Should juveniles be punished less harshly than adults? Use "leniently" in your answer
vampirchik [111]
Juveniles should be punished less harshly than adults, but it depends on what they have done to earn their certain punishment. If they did something to a certain degree that deserves a harsh punishment then they shouldn’t be as leniently punished as a juvenile who didn’t do as much to deserve a harsh punishment.
6 0
3 years ago
1615/170 simplify show work
Sloan [31]
1615/170

We first need to convert this into a proper fraction. Which means that the denominator must be larger than the numerator for it to be proper. Also, since 1615 is BIGGER than 170, we will end up with a mixed fraction. A mixed fraction always has a whole number.

1615 can go into 170 how many times?

9 times

170*9 = 1530

Now subtract.

1615 - 1530 = 85

Now we have our mixed fraction:  9  85/170

Now we must simplify the fraction.

85/5 = 17
170/5 = 34

17/34 is the smallest possible fraction we can get. 

9 17/34

Final answer:  9  \frac{17}{34}


3 0
3 years ago
Read 2 more answers
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Vinil7 [7]
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8 0
2 years ago
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Margarita [4]
8.333333  

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Now if you meant:

8.383838 then

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x=830/99
7 0
4 years ago
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