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Ipatiy [6.2K]
2 years ago
7

-6-5

Mathematics
1 answer:
tankabanditka [31]2 years ago
7 0

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

y = \frac{x}{5} + \frac{12}{5}

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

y = \frac{x}{5} + b

When x = -2, y = 2, then:

y = \frac{x}{5} + b

2 = \frac{-2}{5} + b

b = \frac{12}{5}

Hence:

y = \frac{x}{5} + \frac{12}{5}

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

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Nuetrik [128]

If there are 189 children, then there are 189 divided 7 = <em>27 groups of 7 children.</em>

As mentioned in the problem,<em> for every 7 children, there are 2 caretakers </em>therefore, there are a total of 2 x 27 = 54 caretakers in the local daycare.

So, in total, there are 189 children + 54 caretakers = 243 people in the daycare facility.

4 0
1 year ago
If I get 2 answers will vote one brainliest! please help!
weqwewe [10]

Answer:

28

Step-by-step explanation:

The answer is 28 because this triangle will add up to 180 degrees and 79 + 73 = 152 and

180 - 152 = 28 so 28 is our missing angle!

Hope this helps you!

7 0
3 years ago
Read 2 more answers
Please help links = reported i need help
34kurt

Answer:

not helping you i will take the points tho.

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Edgar Anderson earns $200 a week plus a 15% commission on all sales over $1,000. If Mr. Anderson's sales for one week are $2,500
nignag [31]
<span>Find the gross pay of Mr. Anderson in a week.
He earns 200 dollars a week + 15% commission on over 1000 dollars sales.
In a week he earned 2500 dollars.
=> Pls, take note, that he can only get a 15% commission for over 1000 dollars sales he get.
=> 2 500 dollars – 1 000 dollars
=> 1 500 dollars, now in 1500 dollars get the 15% commission
=> 1 500 x .15
=> 225 + 200 (his original earnings)
=> 425 dollars.</span><span>

</span>



6 0
3 years ago
HELP ME PLEASE. Anson borrows some money from a bank at a rate of 10% simple interest for 1 year. Jenny borrows $1000 more then
kondaur [170]
$5000 is the correct answer.

The formula for simple interest is I=prt.  Anson gets 10% interest; 10% = 10/100 = 0.1.  This gives us
I=p(0.1)(1) = 0.1p.

Jenny borrows 1000 more than Anson, so her principal is p+1000.  Her rate is 8%; 8%=8/100 = 0.08.  She invests it for half of a year, or 0.5. Together this gives us:
I=(p+1000)(0.08)(0.5)
= (p+1000)(0.04)
= p*0.04 + 1000*0.04
= 0.04p + 40

Together they earned 740:
0.1p+0.04p+40 = 740

Combine like terms:
0.14p+40 = 740

Subtract 40 from both sides:
0.14p+40-40 = 740-40
0.14p = 700

Divide both sides by 0.14:
0.14p/0.14 = 700/0.14
p = 5000
6 0
3 years ago
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