1. Seventy percent of the population of Texas lives within a 200-mile radius of Austin.
If the total area of Texas is 267,339 square miles, about what percent of the total
land area is within 200 miles of Austin?
Analyze Circle the information you know and underline what you are
trying to find. Is there any information you will not use?
Plan How will you solve this problem?
Solve Solve the problem. Show your steps below. What is the solution?
Justify and Evaluate Does your answer make sense? Can you solve the problem
another way to check your work? oop no

1. Seventy Percent Of The Population Of Texas Lives Within A 200-mile Radius Of Austin.If The Total Area

Answers

Answer 1

Answer:

47%

Step-by-step explanation:

Radius of Austin = 200 miles

Total area of Austin = [tex]\pi r^{2}[/tex]

where 'r' = radius of Austin

From this formula,

Area of Austin = [tex]\pi (200)^2[/tex]

                        = 125663.71 square miles

Percentage of total area which is within 200 miles of Austin will be,

= [tex]\frac{\text{Area of Austin}}{\text{Total area of Texas}}\times 100[/tex]

= [tex]\frac{125663.71}{267339}\times 100[/tex]

= 47%

In this question, information regarding population of Texas will not be used.


Related Questions

In her last four basketball games, Alexi has scored 12, 14, 26, and 40 points. If the pattern continues, how many points will Alexi score in her next game?

Answers

Answer:

its 26. Just take my word for it

Step-by-step explanation:

14-12=2

26-14=12

40-26=14

You see the pattern. Alexi will score 26 pts. btw, this goes against the laws of probability, but whatever.

The sum of 2 consecutive whole numbers is 206. What are the 2 numbers

Answers

Answer:

102.5, 103.5

Step-by-step explanation:

a+a+1=206

2a+1=206

2a=205

a=102.5

103.5

I think there is a bug here. They can't be whole numbers.

Answer:

There are no two consecutive whole numbers that sum to 206 (See proof below)

Step-by-step explanation:

let the first number be x

since the numbers are whole and consecutive, the second number must be (x + 1)

we are given that the number sum to 206

hence,

x + (x+1) = 206

x + x + 1 = 206

2x + 1 = 206  (subtract 1 from both sides)

2x = 206 - 1

2x = 205  (divide both sides by 2)

x  = 205/2 = 102.5  (NOT A WHOLE NUMBER)

if x = 102.5, then the second number must be

x + 1 = 102.5 + 1 + 103.5 (ALSO NOT A WHOLE NUMBER)

Find the area of the triangle below. Be sure to include the correct unit in your answer. I need help please

Answers

Answer: 42.5 ft square
hope this helps!

11) 19, 13, 7, 1...
Explicit:

Recursive:
13) -3,-1,1, 3...
Explicit:
Recursive:
Can someone help me die in 10 min

Answers

Answer:happy

Step-by-step explanation:

Vg

-3/4 x (-10/9)

A. 27/40
B. 5/6
C. -27/40
D. -5/6

Answers

Answer: B

Step-by-step explanation:

1. Multiplying two negatives equals a positive.

2. Reduce the numbers with the GCF, 3.

3. Reduce the numbers with the greatest common factor, 2.

4. Multiply the fractions which would give you: 5/6

Answer:

B. 5/6

Step-by-step explanation:

1.multiply -3 by -10 (negative multiplying negative is positive) which will give you 30

2.Then multiply 4 by 9 = 36.

3.u will get 30/36, divide both the numerator and denominator by 6.

4. it will give you 5/6 as an answer.

it's from Khan Academy and there are answer choices it's called interpet negative number addition and subtraction expression ​

Answers

Answer: Hi!

Answers B and D are correct.

For B, since negative numbers are on the left side of the number line, a positive number would have to be to the right of a negative number. Since we are adding a negative and a positive number of the same absolute value (9), they would cancel out to 0, which makes D true.

Hope this helps!

Hi there! Hopefully this helps!

-----------------------------------------------------------------------------------------------------

Answers: D, B.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Explanation for D: -9 + 9 = 0.

Explanation for B: Negative numbers are on the LEFT side of the number line.

And positive numbers are on the right.

Therefore, 9 is to the RIGHT of -9 on the numberline.

3x + 5 = 2x + 2 -(x-3) Pls show work too, thanks :)

Answers

Answer:

X=0

Step-by-step explanation:

1.Remove the parentheses

3x + 5 = 2x + 2 -(x-3)  ->  3x+5=2x+2-x+3

2.Combine like terms

3x+5=2x+2-x+3 -> 3x+5=x+5

3.Cancel Equal Terms

3x+5=x+5 -> (subtract 5 from both sides)  3x=x

(subtract x from both sides) 3x=x ->  3x-x=0

4.Combine like terms

3x-x=0  ->  2x=0

5.Get rid 2 so divide both sides by 2

2x= 0 -> [tex]\frac{2x}{2}[/tex]=[tex]\frac{0}{2}[/tex]  ->

x=0

Determine the volume of the CD box shown
7.5 in
6.25 in.
8 in

Answers

I hope this helps you

Rectangular Prism Volume is

Height. Width. Height

(6.25).(7.5).(8)

375

A coat originally cost $130. Now it is on sale for 60% of its original cost. What is the sale
price of the coat?
OA) $78
B) $70
OC) $52
OD) $40

Answers

Answer:

Step-by-step explanation:

b-78

hose fills a hot tub at a rate of 4.09 gallons per minute. How many hours will it take to fill a 250-gallon hot tub?

Answers

Answer:

Step-by-step explanation:

250 gals divided by 4.09

answer:61.12

Identify the range of the function. A) (2, 8) B) [2, 8] C) (−5, 9) D) [−5, 9]

Answers

Answer:

The answer is "Option A"

Step-by-step explanation:

The domain is the collection of the value, which belongs to the separate variable (horizontal axis). So, to find a region with a graph, it must search for the function, which starts and end. And at all these levels we are searching at x-values.  

Its starting point is (2,9) and the ending point is (8,3).  Therefore, x= 2 to x=8 is the domain.

Use the distributive property to solve 2(3x+4p-8)

Answers

Answer:

6x + 8p - 16

Step-by-step explanation:

Given

2(3x + 4p - 8) ← multiply each term in the parenthesis by 2

= 6x + 8p - 16

Answer:

Step-by-step explanation:

2(3x + 4p - 8)= 2*3x + 2* 4p + 2*(-8)

                     = 6x + 8p - 16

When planning the new town hall, the architect planned for 50 offices. only 5 will be on the 1st floor. what percentages of offices will be on floors above the first floor?
A)5%
B)90%
C)50%
D)10%​

Answers

Only 10 percent will be

Answer:

5 upon 50

5/50 X 100%

1/10 X 100%

10 %

is your answer

plz brainlist me please

Which of the following is an example of the associative property of multiplication?

7 · (3 · 5) = (7 · 3) · 5
7 · (3 + 5) = 21 + 35
7 · (3 · 5) = 7 · (5 · 3)
7 · 1/7 = 1

Answers

Answer:

Option A

Step-by-step explanation:

7 * (3 * 5) = (7*3) * 5

Associative Property:

When three or more numbers are multiplied, the product is always same regardless of the regrouping

Answer:

a is correct cause foot

Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to spend exactly $80. How many miles can he drive? Write and solve an equation to find how many miles Ben can driv

Answers

Answer:

Ben can drive 500 miles for $ 80

Step-by-step explanation:

Let y be the cost of traveling and x be the number of miles . The charge is $20 plus the $0.12 per mile which means the cost $ 20 is constant and an additional cost of $ 0.12 is spent on every mile. Then according to the given conditions the equation will be

y = $20 + $ 0.12(x) where x is the number of miles

Now we can solve x for y= 80

$ 80= $20 + 0.12 (x)

$ 60 = 0.12x

x= 60/ 0.12= 500

Ben can drive 500 miles for $ 80

this expression 3x+8+4x+2x has four what?

Answers

Answer:

polynomials

Step-by-step explanation:

Answer: The expression has four terms.

In Algebra, a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by division signs.

Hope this helps!

(20pts)prove that the difference of the squares of two consecutive integers is equal to the sum of the integers, whenever the larger of the two integers comes first​

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

If the two numbers are x and x + 1, then:

(x + 1)² - x²

= x² + 2x + 1 - x²

= 2x + 1

= x + (x + 1)

Set up an equation for the following scenario: A wedding reception needs 3 chairs for every 4 people.
How many chairs, y, would be needed for x people?​

Answers

I think it’s: y = .75x

Rita is 8 years older than Fati. If Fati is 15 years now, how old was Rita 3 years ago

Answers

Answer:

Rita is 20 years old

Step-by-step explanation:

If you add 8 years to Fati's age, (15+8), you get 23. That is Rita's age right now. Now subtract 3 from 23. You get 20. So Rita is 20 years old.

What is the slope of the line that passes through the points (-7, - 7) and (-7,1)?
Write your answer in simplest form.

Answers

Answer:

Undefined

Step-by-step explanation:

Slope of the line

[tex] = \frac{1 - ( - 7)}{ - 7 - ( - 7)} = \frac{1 + 7}{ - 7 + 7} = \frac{8}{0} = \infty \\ = undefined [/tex]

If ∠P measures 27°, ∠R measures 135°, and p equals 9.5, then which length can be found using the Law of Sines?

Answers

Answer:

The length r can be found using the Law of sines.

Length r = 14.8

Step-by-step explanation:

The length r can be found using the Law of sines.

The formula for the Law of Sines states that:

a/Sin A = b/ Sin B

In the above question,

∠P = 27°

∠R = 135°

p = 9.5

r = ????

The formula =

p/Sin P = r/Sin R

9.5/Sin 27° = r/Sin 135°

Cross Multiply

r × Sin 27° = 9.5 × Sin 135°

r = 9.5 × Sin 135°/Sin 27°

r = 14.7966

Approximately Length r = 14.8

7n+5=96 so what is the answer

Answers

Answer:

n = 13

Step-by-step explanation:

7n + 5 = 96

Subtract 5 from both sides to get rid of the 5 on the right side:

7n + 5 - 5 = 96 - 5

7n = 91

Divide both sides by 7 to get rid of the coefficient of n:

7n / 7 = 91 / 7

n = 13

Answer: [tex]n=13[/tex]

Subtract 5 from both sides

[tex]7n+5-5=96-5\\7n=91[/tex]

Divide both sides by 7

[tex]7n/7=91/7\\x=13[/tex]

what is 7500×5643 ÷3​

Answers

Answer:

14107500

Step-by-step explanation:

[tex]7500 \times 5643 \\ = \frac{42322500}{3} \\ = 14107500[/tex]

Answer:

[tex]\Large \boxed{14107500}[/tex]

Step-by-step explanation:

There are different ways to do this;

1. ⇒ (7500×5643)÷3

⇒ 42322500÷3

⇒ = 14107500

2. ⇒ 7500*5643/3

⇒ 42322500/3

⇒ =14107500

^ Two ways you could have solved the Q.

Answer; 14107500

8.45 +0.7 correct to 3 decimal places​

Answers

Answer:

9.15

Step-by-step explanation:

Answer:

9.15 or 9.150

Step-by-step explanation:

The correct answer base on the numbers given is 9.15. But for you to get the 3 decimal answer of 9.150 you would add two 0's to the .7 making it .700.

8.45

+ .700

9.150

∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ , then find the measure of \angle A∠A

Answers

Answer:

x = 25

Step-by-step explanation:

The measure of angle A is 108°

What is a angle?

An angle is formed when two straight lines or rays meet at a common endpoint.

What is a supplementary angle?

Supplementary angles are those angles that sum up to 180 degrees.

Given that angle A and angle B are supplementary angle

∠A=(7x+10)°

∠B=(7x−26)°

(7x+10)° + (7x−26)° =180°

14x - 16° =180°

14x =196°

x= 14°

∠A=(7x+10)°

∠A=(7(14) +10)°

∠A= 108°

Thus the measure of angle A is 108°

To know more about supplementary angles click here

https://brainly.com/question/13045673

#SPJ2

A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to
draw a piece of fruit from the basket, keep it, draw a 2nd piece of fruit from the
basket, keep that, and then draw a third piece of fruit from the same basket. What
is the probability of selecting one banana, then one apple, then one orange, in
that order, from the basket if you are blindfolded?

Answers

Hi

draw 1 :  4/12 = 1/3

draw2 :  3/11

draw 3 : 5/10 = 1/2

so probability to have  :  1 banana then 1 apple then 1 orange  is :  1/3*3/11*1/2 =  3/66 =  3*1 / 2*3*11 =  1/22

Answer:

1/22

Step-by-step explanation:

Work out the probability of selecting each fruit then times them together so

there are 12 fruits in total and 4 bananas so the chance of selecting a banana is 4/12 simplified 1/3

then as you dont put the banana back there is only 11 fruits left in the basket and 3 are apples so the chance of selecting an apple is 3/11

then as you dont put the apple back there is only 10 fruit left in the basket and 5 are oranges so the chance of selecting an orange is 5/10 simplified 1/2

then we multiply them all together 1/3 x 3/11 x 1/2 3/66 to get which simplifies to 1/22

Find an equation in standard form of the line containing the point (-3, -2) and having slope 14.
Hint: You are given a point and a slope, so start with point-slope form. Then, convert the point-
slope form to standard form by moving all the x and y terms to the left side of the equation.

Answers

Answer:

y - 14(x) = 40 (Hopefully)

Step-by-step explanation:

-2 = 14(-3) +40

y = 14(x) + 40

y - 14(x) = 40

8(-b+4)=
idk what the answer is please help

Answers

Answer:

-8b+36 is the answer.

Step-by-step explanation:

=8(-b+4)

Opening brackets to simplify

=8✖️(-b)+8✖️4

=-8b+36 is the answer.

Hope this will help you :)

-8b+8•4
multiply
-8b+32 HOPE DIS HELPS!!

It’s either D or E; please help
Thirty overweight males agree to participate in a study of the effectiveness of three weight-loss treatments: X, Y, and Z. The researcher calculates the
body fat composition of each subject. The response variable is the reduction in body fat after six weeks of treatment. Previous studies have shown the
effects of a diet may vary based on a subject's initial body fat composition. How should the subjects be blocked? Explain.

They should be blocked alphabetically so the subjects are as different as possible.

They should be blocked by age because weight loss is more difficult to achieve as you get older.

They should be blocked by height because weight loss is easier to achieve for taller people.

They should be blocked by body fat composition so the subjects are as similar as possible.

Blocking should not be used in this experiment.

Answers

Answer:

They should be blocked by body fat composition so the subjects are as similar as possible.

Step-by-step explanation:

It's D .

Blocking here means how should the subjects be arranged in terms of body fat or weight.

Option A is wrong because alphabetically controlling body fat would not get desired results.

Option B is wrong because different age groups would yield different results.

Option C is wrong also because weight loss is not dependent on taller people.

Option D is correct because controlling body fat would yield best possible results in ascending or descending order

Option E is incorrect because  arranging data in ascending or descending order would simplify the researches experiments.

If x+3y=7 and x-3y=1 what's y

Answers

Subtract one equation from the other to eliminate x :

(x + 3y) - (x - 3y) = 7 - 1

6y = 6

y = 1

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