The population of Linton is 12 times as great as the population of Elmore the combined population of both towns is 9,646 people what is the population of Linton

Answers

Answer 1

Let the population of Elmore be "X".
Since that the population of Linton is 12 times as great as the population of Elmore, then it is considered to be "12x".
Since that the sum of both Elmore and Linton is 9.646, then "X + 12x = 9464" x+12x is 13x , so it should be "13x = 9464". Now, it is easy to find the population of Elmore which is 9464 / 13 = 742. Since that the population of Linton is 12 times the population of Elmore, then the population of Linton is "742 * 12 = 8904".

Answer 2

Final answer:

The population of Linton is 8,904 people, calculated by first finding the population of Elmore (x) and using the fact that Linton's population is 12 times that of Elmore's.

Explanation:

The question involves solving a proportion to determine the population of Linton, given that the population of Linton is 12 times as great as the population of Elmore and that their combined population is 9,646 people.

Let the population of Elmore be represented by x. Therefore, the population of Linton, which is 12 times greater than Elmore's, would be 12x. The combined population of Linton and Elmore, which is given as 9,646, can be represented by the equation:

x + 12x = 9,646

Simplify the equation:

13x = 9,646

Now, divide both sides of the equation by 13 to solve for x:

x = 742

Since we are looking for the population of Linton, we multiply x by 12

12 * 742 = 8,904

Therefore, the population of Linton is 8,904 people.

Related Questions

i need help please !!

Answers

What do you need help with?

um what do u need help with?

A square pyramid is sliced so that the cross section is perpendicular to its base. The cross section intersects the vertex of the pyramid. What is the shape of the cross section?
Question 1 options:

Trapezoid
Triangle
Square
Pentagon

Answers

Question 2. Triangle

B.Triangle Is your answer

What is the Value of Y?

Answers

The possible answer for y is 72 hope this helps

All angles in a triangle add to 180°
Since we know that one of the angles is 72° and the other two angles are the same..

We can subtract 72° from 180°
180°-72°=108°
Divide the result by 2
108°/2=54°

So the best answer would be B.54°

I hope this helps :)

I REALLY NEED HELP!!!!!!!!!!

Answers

Circle Circumference= 2πr

C= 2(3.14)(24)
C= (6.28)(24)
C= 150.72 inches

ANSWER: If we round up, the estimated circumference is 151 inches.

Hope this helps! :)

The answer is 151 in. because the formula for circumference is
[tex]\pi \times d[/tex]
where d is diamter. The problem provides the radius. So, to find the radius, all you have to do is multiply it by 2, since a radius is half of the diameter. Then, multiply it by 3.14. You will get 150.72. This rounds to 151.

Please help very urgent

4.5< √b <4.9
What is the possible value of b

Answers

A possible value could be 21.16

What is the value of 2x3squared +x2squared when x = 3

Answers

I suspect this is what you mean, if let me know
2x(3)^2+x(2)^2
2(3)(9)+3(4)
54+12=66

six less than four times a number is 26. What is the number?

Answers

Okay, lets see here. So since we know that 26 is six less than the actual answer, we'll add 6 to 26 which gives us 32. Then we'll do 32 divided by 4, which is 8.

Hello there!

The number would be - 8

lets do the work:

(8 x 4) - 6 = 26

Therefore your answer is 8.

Hope this helps!

~DL

A circular plate has circumference 29.5 inches. What is the area of this plate? Use 3.14 for pi.

Answers

The circumference is given by the formula:

C = 2 pi r

In this case, we are provided with C, but not r, so we must make r the subject

29.5 = 2 x 3.14 x r

Divide by 2 x 3.14 to get r by itself

r = 4.69745.... (don't round off yet!)

Now that we found r, let's use the formula for the area of a circle,

A = pi r^2
= 3.14 x (4.69745...)^2
= 69.3 in^2 (1 dp)

Hope this helped!

Final answer:

To find the area of a circular plate with a given circumference, use the formula A = πr², where A is the area and r is the radius. Set up the equation for the circumference of the plate and solve for the radius. Then, plug the radius into the formula for the area. This gives the area as 69.07 inches².

Explanation:

To find the area of a circular plate, we can use the formula A = πr², where A is the area and r is the radius. In this case, the circumference of the plate is given as 29.5 inches. We know that the circumference of a circle is equal to 2πr, so we can set up the equation 29.5 = 2πr to solve for the radius.

Dividing both sides of the equation by 2π, we get r = 29.5 / (2π). Using the value of π as 3.14, we can calculate the radius as r ≈ 4.69 inches. Now we can plug this value into the formula for the area: A = 3.14 × (4.69)². Evaluating this expression gives us the area of the circular plate as A ≈ 69.07 inches².

What unit would you use to measure a kite string

Answers

inchesssssssssssssssssssssssssssssssssssssssss

Final answer:

To measure a kite string, one would typically use meters or feet, and the most suitable tool for this measurement would be a tape measure.

Explanation:

The unit you would use to measure a kite string is typically a unit of length. When we discuss the measurement of length for everyday objects such as kite strings, we commonly use units like meters, centimeters, or feet. For a kite string, which can be quite long, meters or feet are the most practical units. You would tie the string to the mass (kite) at one end and to the handle or spool at the other, and measure the length, L, of the string. The tool most suitable for measuring such lengths would be a tape measure, as it can be extended along the length of the string and is flexible enough to be used in various situations.

You visit two websites about inventions of the 21st century. One has .edu in the URL address and the other has .com. Which site is more likely to be credible and why? (6 points) The .edu site is more likely to be credible because all .com sites are trying to sell you something. The .edu site is more likely to be credible because its domain is a university or other school type. The .com site is more likely to be credible because all .edu sites are personal college student blogs. The .com site is more likely to be credible because its owners review all the content before publishing.

Answers

The .edu site is more likely to be credible because its domain is a university or other school type

The .edu site will more likely be better

1. Using the formula for the probability of one event or another event, calculate the probability of drawing a card from a standard deck that is either a jack or a club. Write out the formula and show your work. Write the final answer as a fraction in simplified form. (10 points)

Bonus question for extra credit: What is the probability of drawing two cards from a deck, without replacing the first card, and either getting two red cards or two aces? Hint: the probability of getting two aces is the probability of the first card being an ace, times the probability of the second card being a different ace. Show your work, and write your answer as a fraction in reduced form.

Answers

A standard deck has 52 cards.
A standard deck has 4 jacks.
A standard deck has 13 clubs.

From this, we can derive the following:
The probability of drawing a jack is 4/52 or 1/13
The probability of drawing a club is 13/52 or 1/4

But since the problem asks for drawing jack or club, therefore we should add the 2 probabilities, making 17/52. This is not the final answer yet. We know that there is a jack of clubs, therefore we need to subtract 1 from the probabilities since jack of clubs were considered in the 2 categories of probability.

With that being said, the probability of drawing a club or a jack is 16/52 or 4/13

Bonus Question:

The first thing you need to do here is find the probability of each scenario. First let's do what is given, the probability of drawing 2 aces. Since there are 4 aces in a deck of 52, we can easily say that the probability of drawing an ace is 4/52. However for our second draw, the probability of drawing a different ace is 3/51. This is so since we already drew a card that is an ace, hence we need to subtract one from the total aces (4-1) and from the total cards in the deck (52-1). In getting the probability of drawing two aces, we need to multiply the said probabilities: 4/52 and 3/51, resulting to 1/221.

For the second scenario, the drawing of 2 red cards, we just use the same concept but in this, we are already considering the 2 red cards in the first scenario, therefore the chance of drawing a red on our first draw is 24/52. For our second, we just need to subtract one card, therefore 23/51. Multiply these two and we will get 46/221.

Now, the problem asks for the chance of drawing either 2 reds or 2 aces, therefore we add the probabilities of the 2 scenarios:
46/222 + 1/221 = 47/221

Summary:
First Scenario:
4/52 + 3/51 = 1/221
Second Scenario:
24/52 + 23/51 = 46/221
Chances of drawing 2 red cards or 2 aces:
1/221 + 46/221 = 47/221

Write the equation of the line with the following characteristics.A horizontal line through the point (0,3)

Answers

Hello!

Because we have been asked to write the equation of a line, we will need to give the answer in slope-intercept form. Slope-intercept form uses the following formula:

y = mx + b

In the above formula, M represents the slope while B represents the y-intercept. We are asked to write the equation of a horizontal line that passes through the given point. Horizontal lines have a slope of zero (0), so we’ll begin by inserting this value into the slope-intercept formula:

y = (0)x + b

Now simplify the right side of the equation:

y = b

Now we must find the y-intercept of the line in question. We are given that it passes through point (0,3). We know that any point taking the form (0,y) lies on the y-axis and, consequently, can be classified as a y-intercept. Therefore, the y-intercept of the given line must be 3. Insert this value into the simplified equation above:

y = b
y = (3)

We have now proven that the equation of the given line is (y = 3).

I hope this helps!

What number should be subtracted from both sides of the following equation to solve for g?

g + 18.75 = 25

43.75
25
18.75
6.25

Answers

18.75 should be subtracted to get the variable (g) by itself and it is subtraction because you do the opposite

Answer:

18.75

Step-by-step explanation:

Cjhoward1, it isn't nice to call someone a nerd. I mean, sure a nerd is a smart person who really cares about school but it has a bad connotation and isn't the nicest thing to say to someone. If you meant it in a good way, then please accept my apologies but other ways I think you should think twice before you say something like that. And if you did think twice maybe you should think 3 times before you say something. It can be really mean. You may not notice it but it can hurt peoples feelings. Anyway. Have a good day!

You are building a rectangular deck. The area of the deck should be 250ft². You want the length of the deck to be 5 ft longer than twice its width. What should the dimensions of the deck be?

Answers

I think the answer to this problem is the width is 10 and the length is 25 because of this of this equation 2w^2+5w-250=0
Then..
(2w+25)*(w-10)=0
and you get the answer of w=10 and l=25

Expand the binomial (2x + y^2)^5.

The fourth term in the expansion of the binomial (2x + y^2)^5 is _____

Answers

(2x + y^2)^5 = (2x)∧5 + 5(2x)∧4×y² + 10(2x)∧3×y∧4 + 10(2x)²×y∧6 + 5(2x)y∧8 +y∧10

= 32x∧5 +80x∧4y² + 80x∧3y∧4 + 40x²y∧6 + 10xy∧8 + y∧10

The fourth term of the binomial expansion (2x + y^2)^5 is 40x²y∧6

Consider the following system of equations:

2x + 3y = 45
x + y =10

What is the x-value of the solution for this system?

Answers

x=3 and the work to get the answer is attached.

What is the value of x?
sin(x+21)°=cos(2x+21)°

Answers

we know that
if sin A=cos B
then
angle A and angle B are complementary angles
so
A+B=90°

in this problem
(x+21)+(2x+21)=90-------> 3x+42=90-------> 3x=48-----> x=16°

SOME ONE PLEASE HELP
Choose the correct simplification of the expression (7m3 n)2.
A.14m5n3
B.14m6n2
C.49m5n3
D. 49m6n2

Answers

we have that
the expression (7*m³*n)²

we know that
(7*m³* n)²---------> (7)²*(m³)²* (n)²-----> (7²)*[(m)^(2*3)]* (n²)----> 49*[m^6]*n²

the answer is the option
D. 49m6n2

find the measure of the angle

Answers

The given angle is 55 degree. Thus the angle asked is 55 + 90 = 145 degree angle.

Measure of the Bigger Angle= Measure of Given Angle+Measure of Smaller Angle

Measure of Bigger Angle =Measure of Angle to be Found

Measure of Angle to be Found= Measure of Given Angle + Measure of Smaller Angle

The smaller Angle signifies one quadrant

So, Measure of Smaller Angle = 90°

Measure of Angle to be found=90°+Measure of given Angle

Measure of Angle to be found=90°+55°

Measure of Angle to be found=145°

Answer:145°

Please answer and explain

Answers

TOP QUESTION:
a= one leg
b= other leg
c= hypotenuse

a^2 + b^2= c^2
plug in known numbers

(3)^2 + (2)^2= c^2

9 + 4= c^2

13= c^2
take the square root of both sides

√13= c
13 is not a perfect square

ANSWER: (C) √13 cm
________________

BOTTOM QUESTION:
a= one leg
b= other leg
c= hypotenuse

a^2 + b^2= c^2
plug in known numbers

(6)^2 + (10)^2= c^2

36 + 100= c^2

136= c^2
take square root of both sides

√136= c
136 is not a perfect square

ANSWER: (D) √136 ft

Hope this helps! :)

What is the median of the data set? {17, 40, 23, 44, 44, 30} Enter your answer in the box.

Answers

To find the median of the data set, we must first order them from lowest to highest in increasing order. Let's rearrange them in that way:

{17, 23, 30, 40, 44, 44}

Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.

What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:

[tex]30+40=70[/tex]

[tex] \frac{70}{2}=35 [/tex]

So now we know that the median of the set of data is 35.

Answer:

Step-by-step explanation:

A plane can travel 640 miles against the wind in the same time it can travel 800 miles with the wind. If the plane can fly 180 mph in calm air, what is the speed of the wind? If x represents the speed of the wind, which expression represents the time it takes for the plane to travel the 640 miles against the wind?

Answers

Answer:

640/(180 - x)

Step-by-step explanation:

The expression for time it takes for the plane to travel the 640 miles is 640/ (180- x).

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Let the speed of the wind be x

Speed of the plane is 180 mph

When plane flew with wind , Speed = (180+x)

When plane flew against the wind , Speed=(180-x)

Since we are given that A plane can travel 640 miles against the wind .

So, Time= Distance / speed

Time= 640/ (180 - x)

Hence, time it takes for the plane to travel the 640 miles is 640/ (180- x)

Learn more about Algebra here:

https://brainly.com/question/8036642

#SPJ2

a plane can travel 480 miles per hour with the wind and 440 miles per hour Against the Wind find the speed of the wind and the speed of the plane in still air

Answers

wind speed = x

planes speed with wind: 480-x
planes speed against wind: 440+x
set them to equal and solve for x ( wind speed)

480-x = 440 +x

add x to each side:

480 = 440 +2x ( x+x=2x)

480 = 440 +2x
subtract 440 from each side:

40 = 2x

divide both sides by 2
x = 40/2
x = 20

wind speed = 20 miles per hour

speed of plane in still air = 480-20 = 460 miles per hour

Final answer:

The speed of the plane in still air is 460 miles per hour, and the speed of the wind is 20 miles per hour, found by setting up equations using the given speeds with and against the wind and solving them.

Explanation:

The question requires us to find the speed of the wind and the speed of the plane in still air based on the given speeds of the plane traveling with and against the wind. The speed of the plane with the wind is 480 miles per hour, and against the wind is 440 miles per hour. We can use these values to set up two equations:

The plane's speed in still air plus the wind's speed equals 480 mph.

The plane's speed in still air minus the wind's speed equals 440 mph.

Let's denote P as the plane's speed in still air and W as the wind's speed. We can establish two equations based on the aforementioned points:

1. P + W = 480

2. P - W = 440

To find P and W, we add the two equations together:

(P + W) + (P - W) = 480 + 440

2P = 920

P = 920 / 2

P = 460 mph

Now that we have the plane's speed in still air, we can find the wind's speed using either of the original equations:

460 + W = 480

W = 480 - 460

W = 20 mph

Therefore, the speed of the plane in still air is 460 miles per hour and the speed of the wind is 20 miles per hour.

The hypotenuse of a right triangle is 12, and one of the legs is 4. Find the length of the missing length to the nearest hundred. Please help! ☺️ 25 points!

Answers

Use the Pythagorean theorem:

If c is the hypotenuse of right triangle and a and b are of the legs then:

a² + b² = c².

We have:
a = 4; c= 12

substitute

[tex]4^2+b^2=12^2\\\\16+b^2=144\ \ \ |-16\\\\b^2=128\to b=\sqrt{128}\\\\b=\sqrt{64\cdot2}\\\\b=\sqrt{64}\cdot\sqrt2\\\\\boxed{b=8\sqrt2\approx11.31}[/tex]

Find the values of x and y that make these triangles congruent by the HL theorem 2x-1 y-1

Answers

Answer
2x−y−1Use CYmath is give you all math question that you need

Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 + 3?

Answers

f(x + q) - left q units
f(x - q) - right q units
f(x) + q - up q units
f(x) - q - down q units
-f(x) - symmetry with respect to the x--xaxis
f(-x) - symmetry with respect to the y-axis

y = - x² + 3 = -(x² - 3)

3 units down and next symmetry with respect to the x axis.

Look at the picture.

given a mean of 7.6 and a standard deviation of 3.1 what is the z-score of the value 10 rounded to the nearest tenth ?
A)0.8
B)0.9
C)1.7
D)5.7

Answers

Answer: Choice A) 0.8

========================================================

Work Shown:

mean = mu = 7.6
standard deviation = sigma = 3.1
x = 10 is the raw score

Use those values to find the z score
z = (x-mu)/sigma
z = (10-7.6)/3.1
z = 2.4/3.1
z = 0.7741935483871
z = 0.8 (approximate answer to the nearest tenth, ie one decimal place)

What is the area of triangle ABC

Answers

The answer for this is B

Answer:

8.4

Step-by-step explanation:

Can you solve 5a please greatly appreciated.

Answers

Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5

Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)

The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:

Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13

Which of these is most likely the next step?

3x = 16
3x = 10
3x = 39
3x = 3

Answers

3x = 16 you need to get 3x by itself so you can divide so add the 3 to the other side

3x - 3 = 13

The next step will be to add 3 to both sides:
3x - 3 + 3 = 13 + 3

⇒ 3x = 16

Answer: 3x = 16

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Assuming the cost of cement blocks is $75 per 1,000, how much will it cost for the blocks to build a wall 7ft. tall by 20 ft. long if the block is 6 inches thick and 10 blocks are needed for 1 cubic foot. Immediately after it has started to rain,dust particales and oil residue float on the water and drastically blank the traction of tires You have the opportunity to lease space for your business with a fixed-rate lease. The property owner has proposed a five-year lease with a rent of $4,000 per month. How much is the rent per year? How much is the rent over the life of the lease? An airliner travels 45 miles in 5 minutes. What is its speed in miles? Which of these organelles is present in both prokaryotic cells and eukaryotic cells? In the figure, what is the value of x? List some instruments that are used to collect weather data An OTC drug label indicates that adults with cold symptoms should take two teaspoons of the medicine every four hours. The frequency of this dosing schedule is determined by the drugsfrequency distributionhalf-lifemedian toxicityoff-label use QM Q9.) Write the standard form of the equation of the circle with the given center and radius. Tom is a world war ii war hero who suffers from posttraumatic stress disorder and major depression. in 1954, he was sent to an institution for treatment. he was successfully cured and he reentered society to lead a normal life. he was most likely admitted to a(n) _____. Trevor just received a jar of mixed nuts containing 325 almonds, 250 pistachios, 75 cashews, and 350 pecans for his birthday. He's going to start randomly choosing some nuts from the jar, and he's not going to do anything that would favor him choosing any particular type of nut over another. Let's use this information to calculate some probabilities. (4 points: Part I - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1 point)What is the probability that the first nut Trevor chooses is a pecan?Part II: What is the probability that the first nut Trevor chooses is an almond or a cashew? The fact that many older people begin to demonstrate an interest in painting, music, or woodworking supports the idea that older people _____. are generally very bored develop an appreciation for the aesthetic still have a drive for power and prestige become less interested in being with people What condition best belongs on the chart ? Alex walked 1 mile in 15 minutes. Sally walked 3,520 yards in 24 minutes. In miles per hour, how much faster did Sally walk than Alex? (Note: 1 mile = 1,760 yards) the probability of a chance event is close to 0. which statement about the event is true/ (A) the event is likely to occur (B) the event has the same chance of occuring or not occuring (C) the event is unlikely to occur (D) the event is definately not going to occur Two students, Ann and Max, factored the trinomial 4x2 6x 4. Ann factored it as 2(x 2)(2x + 1) and Max factored it as (x 2)(4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why. What role did cyanobacteria play in the cambrian explosion? quizet? Does the Ohio constitution of 1851 allow more or less popular sovereignty I really need help with these problems What were the conditions like for the soldiers fighting in the trenches of WWI