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Jobisdone [24]
3 years ago
11

A line has a slope of 1 and passes through the point (3, 10). What is its equation in

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

Answer:

y = x + 7

Step-by-step explanation:

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G varies inversely as the cube of h.
Arada [10]

Answer:

g = \frac{k}{h^3}

Step-by-step explanation:

Given that g varies inversely as h³ then the equation relating them is

g = \frac{k}{h^3} ← k is the constant of variation

5 0
3 years ago
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

5 0
3 years ago
What is the solution to the equation 32x − 1 = 243? Question 18 options: A) x = 2 B) x = 3 C) x = 4 D) x = −2
Mama L [17]

Answer:

x = 4

Step-by-step explanation:

To solve this equation, first you want to write the whole thing out.

32x - 1 = 243

Next you want to get the variable by itself, so you are going to use inverse operations. in the equation, it is 32x - 1, so you are going to add one to both sides, getting you this:

32x = 244

Now for the final step you are going to get x alone, so you are going to use inverse operations once more and divide 32 on both sides getting you your answer.

x = 4

Now if you want to check your work simply plug in x, and if it is equal, you got the correct answer!

I hope this helped and good luck with your math!

I'm really sorry if I'm wrong though, even though I already finished this unit a while ago I struggled on this one even though it is so easy compared to the equations I have now.

5 0
3 years ago
A bag contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food 1 point
Strike441 [17]

Answer:

It will last 18 days.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
2. Todd found 7/8 of a sixteen-inch pizza
stich3 [128]

Answer:

4/8

Step-by-step explanation:

Because there was 7/8 of a pizza so you have to subtract the numerators 7 take away 3 and you dont change the demominter which comes out to 4/8

4 0
3 years ago
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