Mathematics: Afitness instructor arranges 30 people into rows.each row has the same amount of people can the instructor arrange the people into rows of 6 or 9?

Afitness instructor arranges 30 people into rows.each

ytalbot

01.01.2022

We can arrange the people into rows of 6.

Step-by-step explanation:

Hi to solve this problem we have to analyze the information given:

Number of people :30

We have to calculate if we can arrange rows of 6 or 9, each row must have the same amount of people.

So,for the case of 9 we have to divide the total amount of people (30) by 9 .

30/9 = 3.34

We can´t make rows of 3.34 people each .

For the case of 6:

30/6= 5

We can arrange rows of 5 people each.

So, we can arrange the people into rows of 6.

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DJEMPGYT

19.03.2022

The equation of the parallel line is y = –2x – 11.

Solution:

Given equation of the line is y = –2x – 5.

Slope of this line is (m_1) = –2

To write the equation parallel to this line and passes through (–4, –3).

If two lines are parallel, then they have the same slope.

$\Rightarrow m_1=m_2$

$\Rightarrow m_2 =-2$

Point-slope formula:

y-y_1=m(x-x_1)

Substitute the given values in the formula, we get

y-(-3)=-2(x-(-4))

y+3=-2(x+4)

y+3=-2x-8

Subtract 3 from both sides of the equation.

y+3-3=-2x-8-3

y=-2x-11

Hence the equation of the parallel line is y = –2x – 11.

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