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VashaNatasha [74]
2 years ago
6

Solve the equation 1/x + 1/3x = 4

Mathematics
1 answer:
Llana [10]2 years ago
8 0

Answer:

x = \frac{1}{3}

Step-by-step explanation:

\frac{1}{x} + \frac{1}{3x} = 4 (Multiply everything by LCM)

3x*\frac{1}{x} + 3x*\frac{1}{3x}=3x*4 (Simplify the fractions)

3+1=12x\\4=12x\\x=4/12\\x=\frac{1}{3}

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There are 450 vehicles in a car lot. Select the correct value for the umber of vehicles of each type that are in the lot. Hybrid
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Read 2 more answers
Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school.
Maksim231197 [3]

26% of all the employees attend night school

Step-by-step explanation:

The given is:

  • Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school
  • 40 percent of all employees are male

We need to find what percent of all the employees attend night school

Assume that the number of all employees is x

∵ The company has x employees

∵ 40 percent of all employees are male

- Find 40% of x

∵ 40% × x = \frac{40}{100} × x = 0.4 x

∴ The number of the male employees is 0.4 x

- Subtract 0.4 x from x to find the number of the female employees

∵ The number of female employees = x - 0.4 x = 0.6 x

∴ The number of the female employees is 0.6 x

∵ 20 percent of the male employees attend night school

- Multiply 20% by 0.4 x to find the number of male employees

   who attend night school

∴ The number of male who attend night school = 20% × 0.4 x

∴ The number of male who attend night school = \frac{20}{100} × 0.4 x

∴ The number of male who attend night school = 0.08 x

∵ 30 percent of the female employees attend night school

- Multiply 30% by 0.6 x to find the number of female employees

   who attend night school

∴ The number of female who attend night school = 30% × 0.6 x

∴ The number of male who attend night school = \frac{30}{100} × 0.6 x

∴ The number of male who attend night school = 0.18 x

Add the number of male and female who attend night school

∵ 0.08 x + 0.18 x = 0.26 x

∴ The number of male and female who attend night school is 0.26 x

- Find the percentage of 0.26 x of x

∵ \frac{0.26x}{x} × 100% = 26%

∴ 26% of all the employees attend night school

26% of all the employees attend night school

Learn more:

You can learn more about the percentage in brainly.com/question/6871421

#LearnwithBrainly

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3 years ago
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