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UkoKoshka [18]
3 years ago
12

The populations and land areas of four cities in Texas are shown.

Mathematics
2 answers:
Ksju [112]3 years ago
8 0
The ratio for population density is population:area

Using this, we find that choices 1, 4, and 5 are true,

:)
Solnce55 [7]3 years ago
8 0

we know that

The population density is the number of people living in each unit of area. Is equal to the population divided by the total area.

so

Let

x------> population (number of people)

y------>the area in Km^{2}

z-----> the population density

z=\frac{x}{y}

Find the population density of the cities

City A

z=\frac{2,195,914}{1,553}=1,413.98\frac{people}{Km^{2}}

City B

z=\frac{48,592}{26}=1,868.92\frac{people}{Km^{2}}

City C

z=\frac{1,257,676}{999}=1,258.93\frac{people}{Km^{2}}

City D

z=\frac{196,429}{258}=761.35\frac{people}{Km^{2}}

<u>Statements</u>

<u>case A)</u> The population density for City B can be found using the ratio 48,592 : 26

The statement is true -------> see the procedure

<u>case B)</u> The population density for City D can be found using the ratio 258 : 196,429

The statement is False

Because, the population density for City D can be found using the ratio 196,429 : 258 ----> see the procedure

<u>case C)</u> City A has the greatest population density of the four cities

The statement is False

Because, the greatest population density of the four cities is the city B (see the procedure)

<u>case D)</u> The population density of City B is greater than that of City C

The statement is True -----> see the procedure

the greatest population density of the four cities is the city B

<u>case E)</u> City D has the lowest population density of the four cities

The statement Is True -------> see the procedure




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If m angle GEF is thirteen less than five times m angle DEG and m angle DEF = 149º, find m angle GEF. ​
Nina [5.8K]

Answer:

122*

122 degrees

Step-by-step explanation:

m∠GEF is 13 less than 5 times m∠DEG and m∠DEF = 149*

Solution:

As per given data,

m∠GEF = 5m∠DEG - 13* … (i)

m∠DEF = 149* -> m∠GEF + m∠DEG = 149* .. (ii)

Substituting value of m∠GEF in (ii)

We get,

(5m ∠DEG - 13*) + m∠DEG = 149*

6m ∠DEG - 13* = 149*

6m ∠DEG = 149* + 13* = 162*

m∠DEG = * = 27*

Substituting value of m∠DEG in (i)

We get,

m∠GEF = 5(27*) - 13*

m∠GEF = 135* - 13* = 122*

7 0
3 years ago
Emily drew a scale drawing of a house and its lot. The back patio is 42 millimeters long in the drawing. The actual patio is 27
kirill [66]

the scale factor used in Emily scale drawing is K = 1.63 mm/m

<h3>What scale did Emily use?</h3>

We know that Emily drew a scale drawing of a house and its lot.

In the scale drawing, the back patio is 42 millimeters long, and we know that the actual patio is 27 meters long.

Then the scale relates the measures 44mm and 27 meters, such that if the scale is K, we can write:

K*27m = 44mm

Solving for K, we can write:

K = (44/27) mm/m = 1.63 mm/m

So the scale factor used in Emily's scale drawing is K = 1.63 mm/m

If you want to learn more about scale factors:

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5 0
2 years ago
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. Hi
Ket [755]

Answer:

If w represented the number of weeks he does his chores, the equations would be:

Miles: 120+10w

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3 years ago
Factorise 14e-16<br> Please explain
rosijanka [135]

The expression 14e - 16 is an algebraic expression, and the factored expression is 2(7e - 8)

<h3>How to factor the expression 14e - 16?</h3>

The expression is given as:

14e - 16

Express both terms as a product of 2

14e - 16 = 2 * 7e - 2 * 8

Factor out 2 in the expression

14e - 16 = 2 * (7e - 8)

Remove the product sign

14e - 16 = 2(7e - 8)

Hence, the factored expression of 14e - 16 is 2(7e - 8)

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2 years ago
Your friend is trying to see if you can guess the two numbers she secretly has written on her paper. Your friend tells you that
DaniilM [7]

Hello,

First we work out the equations:

x + y =62 will be the first equation.

2x= y +13 is the second equation.

We can first rewrite the second equation as 2x – y =13.

So we have:

x + y = 62

2x –y =13

KEEP IN MIND: With y being positive in one of the equations and negative in the other, we can combine the equations to quickly eliminate y and solve for x.

x + y = 62

+2x –y =13

3x = 75 divide both sides by 3 to get x.

x = 25

Now that we have x we can substitute the value for x, 25.

25 + y = 62 we can subtract 25 from both sides to get y.

y = 62- 25

y = 37

2(25) = 37 + 13

Therefore,

50 = 50

Have a amazing day.

3 0
3 years ago
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