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professor190 [17]
3 years ago
10

I'm a student at LUOA and, this is way too hard. Can someone help me, please?

Mathematics
1 answer:
puteri [66]3 years ago
6 0

The answer is the first one.

Knowing that population density is like a rate, people per a given area, you would take the amount of people and divide by the area.

3.11E7/7.69E6 = 4.02 people per km squared.

Also the “E” is another way to write times 10 to a power and I recommend using that notation when plugging it into a calculator.

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The scale factor for a model is 5cm= m model: 9.5cm actual : 30.5m
MaRussiya [10]

We are given dimensions of model and actual figure.

model: 9.5cm actual : 30.5m.

We need to find the length of actual shape for the scale factor 5cm.

Let us assume actual length be x m.

Let us set a proportion now.

<h3>5 : x = 9.5 : 30.5</h3>

Let us convert proportion into fractions.

\frac{5}{x}=\frac{9.5}{30.5}

On cross multiplying, we get

9.5x = 5× 30.5

9.5x = 152.5.

On dividing both sides by 9.5, we get

\frac{9.5x}{9.5}=\frac{152.5}{9.5}

x=16.05.

<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>

6 0
4 years ago
Kerry knit 16 winter hats to give as presents to her family. She wants to package the hats in gift boxes. She wants to put 5 hat
solniwko [45]

Answer:

she needs to buy 4 boxes since she can't buy a part of a box. assuming total boxes means completely filled boxes, then she fills 3

Step-by-step explanation:

7 0
3 years ago
Find the equation of the line in slope-intercept form (-1,-1) and (1,0)
ArbitrLikvidat [17]

Answer:

An equation in slope-intercept form of the line will be

  • y\:=\frac{1}{2}x-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the points

  • (-1, -1)
  • (1, 0)

Finding the slope between (-1,-1) and (1,0)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)

m=\frac{0-\left(-1\right)}{1-\left(-1\right)}

m=\frac{1}{2}

substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept

y = mx+b

-1=\frac{1}{2}\left(-1\right)+b

-\frac{1}{2}+b=-1

Add 1/2 to both sides

-\frac{1}{2}+b+\frac{1}{2}=-1+\frac{1}{2}

b=-\frac{1}{2}

substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y\:=\frac{1}{2}x+\left(-\frac{1}{2}\right)

y\:=\frac{1}{2}x-\frac{1}{2}

Therefore, an equation in slope-intercept form of the line will be

  • y\:=\frac{1}{2}x-\frac{1}{2}
3 0
3 years ago
Identify as a direct variation, inverse variation or neither. The number of tons of coal burned by an old coal burning locomotiv
Lynna [10]
The answer for the question shown above is the first option, which is:
 - Direct.

 The explanation is shown below:
 1. The problem says that <span>The number of tons of coal  varies as the number of hours.
 2. Therefore, you can write the following equation:
 number of tons:x
 number of hours:y
 x=ky
 Where k is the constant of variation.
 3. Therere the variation is direct.</span>
5 0
3 years ago
Read 2 more answers
One survey estimates that,on average, the retail value of a mid sized car decreases by8% annually.if the retail value of a car i
Scrat [10]
Percentage by which the average value of mid sized car decreases each year = 8%
Retail value of a car today = v dollars
Amount of decrease in the value of the car after 1 year = (8/100) * v
                                                                                         = 2v/25 dollars
Then
The equation that represents the value of the car after 1 year = v - (2v/25) dollars
                                                                                                   = (25v - 2v)/25 dollars
                                                                                                   = 23v/25 dollars
So following this expression the value of the mid sized car can be easily determined after 1 year. I hope this is the answer you were looking for and the procedure is also clear to you.
5 0
3 years ago
Read 2 more answers
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