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balu736 [363]
3 years ago
11

If 2/3 of a certain number is subtracted from twice the number, the result is 20. Find the number.​

Mathematics
2 answers:
Kisachek [45]3 years ago
6 0
Answer: 60
Step by Step Explanation:
Let the number be x
So, x-2/3x=20
=> x/1 - 2/3x = 20
=> (3x - 2x)/3 = 20
=> x/3 = 20
=> x= 20*3
=> x=60
Checking if the solution is correct:
So substitute the value of x in x-2/3x=20
As we know x=60
So, => 60 - 2/3*60 = 20
=> 60 - 40 = 20
As 20 = 20
So this answer is correct

sleet_krkn [62]3 years ago
3 0

Let x be the number.

Set up an equation:

2x - 2/3x = 20

Simplify:

1 1/3x = 20

Divide both sides by 1 1/3

X = 15

The number is 15

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Use slopes and y-intercepts to determine if the lines 5x-5y=-2 and -x+2y=4
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The given pair of lines are not perpendicular.

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5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
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The slope of equation 1 is m_1 = 1  and intercept c = 2 / 5


Similarly
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Slope of the equation 2  m_2= -1 / 2 and intercept c = 2
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Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
m_1*m_2 = -1

Thus, the given pair of lines are not perpendicular.

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Step-by-step explanation:

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