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luda_lava [24]
3 years ago
15

About 150,000 people live in a circular region with a population density of about

Mathematics
1 answer:
morpeh [17]3 years ago
8 0

Area of a circle = pi x r^2

Area of circle = 150,000/ 1578 = 95.06 square miles

95.06 = 3.14 x r ^2

Divide both sides by 3.14

R^2 = 30.27

Find the square root:

R = sqrt(30.27)

R = 5.5

The radius is c) 5.5 miles

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Find the unit rate and slope of the graph (ignore what I put down)
Vilka [71]

Answer:

slope: 5/7

0.714 mile per hour

Step-by-step explanation:

slope: find the point where the line is right on the line graph, put y/x which is 10/14 make the fraction smaller which is 10/14 = 5/7(I divide the denominator and nominator by 2)

Mile per hour: 5/7 cross multiply with x/1, make into an equation:

7x=5 x 1

7x = 5

x = 0.714

7 0
2 years ago
Factor Completely.<br> 12k^2-16k-60
faltersainse [42]

Answer:

4(k - 3)(3k + 5)

Step-by-step explanation:

Given

12k² - 16k - 60 ← factor out 4 from each term

= 4(3k² - 4k - 15) ← factor the quadratic

Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term

product = 3 × - 15 = - 45 , sum = - 4

Factors are - 9 and + 5

Use these factors to split the middle term

3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms

= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)

= (k - 3)(3k + 5)

Hence

12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form

8 0
3 years ago
Read 2 more answers
g A shopping center includes a grocery store and a drug store. One%E2%80%8B afternoon, a total of 200 people visited the shoppin
QveST [7]

Answer:

a) 179 people shopped at the grocery store or the drug store.

b) 21 people shopped at neither the grocery store nor the drug store

Step-by-step explanation:

I am going to treat these events as Venn sets.

I am going to say that:

Set A: Shopped at the grocery store

Set B: Shoped at the drug store.

121 shopped at the grocery store:

This means that A = 121

91 shopped at the drug store:

This means that B = 91

33 shopped at both businesses.

This means that A \cap B = 33

a) How many people shopped at the grocery store or the drug store?

This is

A \cup B = A + B - (A \cap B)

With the values given in the exercise.

A \cup B = A + B - (A \cap B) = 121 + 91 - 33 = 179

179 people shopped at the grocery store or the drug store.

b) How many people shopped at neither the grocery store nor the drug store?

179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.

21 people shopped at neither the grocery store nor the drug store

8 0
2 years ago
NEED ANSWERS ASAP, 100 POINTS! There are twenty classes at each of two middle schools. The number of students in each class at e
DiKsa [7]

Note: You missed to add the dot plots chart. As I found the chart after a little research. Thus, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.

Answer:

'There are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.

Step-by-step explanation:

From the diagram, it is clear that

The data set containing Poplar Middle School:

20   20   20   21   21   21   21   21   22   22   22   22   22   22   22   23   23   23   23   24  

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

\mu = 435/20

  =\frac{87}{4}

   = 21.75

The data set containing Oak Middle School:

20   21   21   22   22   23   23   23   23   24   24   24   25   25   26   26   27   27   28   29  

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

\mu = 483/20

   =24.15

So, the difference in mean will be:

                                            24.15 - 21.75 = 2.4

Therefore, 'there are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.

5 0
2 years ago
Suppose angles A and B are complementary angles and m∠A = (x-5)° and m∠B = (2x+20)° Solve for X and then find m∠A and m∠B
MariettaO [177]

The angles are x =25, angle A = 20 and B = 70

<h3>How to solve for the angles?</h3>

The given parameters are:

A = x - 5

B = 2x + 20

Both angles are complementary angles.

This means that:

x - 5 + 2x + 20 = 90

Evaluate the like terms

3x = 75

Divide both sides by 3

x = 25

Substitute x = 25 in A = x - 5 and B = 2x + 20

A = 25 - 5 = 20

B = 2 * 25 + 20 = 70

Hence, the angles are x =25, angle A = 20 and B = 70

Read more about complementary angles at:

brainly.com/question/98924

#SPJ1

3 0
2 years ago
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