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Alex787 [66]
2 years ago
5

The population of the county modeled by the quadrilateral below is 1,500,000. Each unit on the grid represents 1 mile. To the ne

arest whole person, what is the population density of the county?
Mathematics
1 answer:
lbvjy [14]2 years ago
8 0

Answer:

125 people per square mile

Step-by-step explanation:

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Which of these triangle pairs can be mapped to each other using a single translation?
sergeinik [125]

Answer:- D shows the triangle pairs which can be mapped to each other using a single translation.


Explanation:-

Translation is a rigid transformation which creates a congruent image as that of the original figure such that the distance between the each point of the original figure and the image is fixed and same.

The translation mapping is given by (x,y)→(x+h,y+k) ,where h is the distance of the x coordinate of the each point of the original figure to the image and  k is the distance of the y coordinate of the each point of the original figure to the image.

In figure D we can see that the distance between each point of ΔCED is equal to the distance between each point of ΔMPN. Thus it shows  the triangle pairs which can be mapped to each other using a single translation.


4 0
2 years ago
Read 2 more answers
There is an integer n such that 2n2 − 5n + 2 is prime. To prove the statement it suffices to find a value of n such that (n, 2n2
fomenos

Answer:

n = 0 or 3

Step-by-step explanation:

2n² - 5n + 2

2n² - 4n - n + 2

2n(n - 2) -1(n - 2)

(n - 2)(2n - 1)

Prime number is one which is divisible by itself and 1

n-2 = 1 n = 3

2n-1 = 1 n = 0

7 0
2 years ago
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step
Lilit [14]

Answer: First option.

Step-by-step explanation:

The complete exercise is attached.

In order to solve this exercise, it is necessary to remember the following property:

The Multiplication property of Equality states that:

If\ a=b\ then\ a*c=b*c

In this case, the equation that Jada had is the folllowing:

-\frac{4}{9}=\frac{x}{108}

Jada needed to solve for the variable "x" in order to find its value.

The correct procedure to solve for for "x" is to multiply both sides of the equation by 108. Then, you get:

(108)(-\frac{4}{9})=(\frac{x}{108})(108)\\\\-48=x

As you can notice in the picture, Jada did not multiply both sides of the equation by 108, but multiplied the left side by -\frac{4}{9}<em>  </em>and the right side by -\frac{9}{4}.

Therefore,you can conclude that Jada should have multiplied both sides of the equation by 108.

3 0
2 years ago
Read 2 more answers
An insurance adjuster processes the claims of six policy holders in an eight hour work day. The adjuster uses $5 in gasoline and
Bad White [126]

Answer:

D

Step-by-step explanation:

Labor productivity is is measured per hours.

Hence, the work he does [amount of claims] will be distributed amongst the amount of hours he works. The amount of dollar he uses <em>doesn't matter for labor productivity.</em>

<em />

Thus, his work is 6 claims. He does that is 8 hours. So claim/hr is:

6/8 = 0.75 claims per hour

Answer choice D is right.

6 0
2 years ago
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
2 years ago
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