A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of great oaks trail is 4.5 cm on this map. The scale from the same park to a different map is 24 mi to 3 cm. The length of salamander trail is 3.5 cm on that map. Which is the longer trail, great oaks trail or salamander trail?

Answers

Answer 1

Answer:

Salamander trail is longer than great oaks trail.

Step-by-step explanation:

We have the data from two different maps of the same park.

In the first map the length of great oaks trail is 4.5 cm

The scale from the park to the map is 36 mi to 6 cm ⇒

We can find the real length of great oaks trail writing the following equivalence :

[tex]\frac{36mi}{6cm}=\frac{x}{4.5cm}[/tex]

Where x is the real length of great oaks trail ⇒

[tex]x=\frac{(36mi).(4.5cm)}{6cm}=27mi[/tex]

We find that the real length of great oaks trail is 27 mi

In the second map the length of salamander trail is 3.5 cm

The scale from the park in the second map is 24 mi to 3 cm.

Again we can find the real length of salamander trail writing the equivalence :

[tex]\frac{24mi}{3cm}=\frac{y}{3.5cm}[/tex]

Where y is the real length of salamander trail ⇒

[tex]y=\frac{(24mi).(3.5cm)}{3cm}=28mi[/tex]

We find that the real length of salamander trail is 28 mi.

Therefore salamander trail is longer than great oaks trail.


Related Questions

Describe the difference between the variance between samples MSB and the variance within samples MSW

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is C

Step-by-step explanation:

Generally

       [tex]MS_B[/tex] stand for Mean Square Between which the mean calculated based on the difference between the sample means

While

 [tex]MS_W[/tex] stands for Mean Square Within which the mean calculated based on the difference between the elements within the set(group)

   Thus  

The [tex]MS_B[/tex]  measures the differences related to the treatment given to each sample. The [tex]MS_W[/tex]  measures the differences related to entries within the same sample.

If f(x)=3x+19 find f (-3a-2)

Answers

Answer: f(-3a-2)=-9a+13

Step-by-step explanation:

To find f(-3a-2), we plug in -3a-2 into f(x).

f(-3a-2)=3(-3a-2)+19              [distribute]

f(-3a-2)=-9a-6+19                  [combine like terms]

f(-3a-2)=-9a+13

Now, we know that f(-3a-2)=-9a+13.


Martha has 90 red tiles and 72 yellow tiles. She wants to place the tiles in rows using one color for each row without having any tiles left
over. Each row must have the same number of tiles. What is the greatest number of tiles Martha can use for each row?

Answers

Answer:

18 tiles

Step-by-step explanation:

If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:

90 has the prime factors 2x3x3x5

72 has the prime factors 2x2x2x3x3

The prime factors that are common to both are 2, 3 and 3 which multiply together to get:

2x3x3 = 18

The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.

Hope this helped!

5% of what number is 90?

Answers

Hey there!

ANSWER: [tex]4.5 \text { and }1800[/tex]

EXPLANATION:

5% of what is 90?

If you want to find 5% of what is 90, you can try doing 90/5%.

[tex]90/5[/tex]%[tex]=1800(ANSWER)[/tex]

To get the decimal form, you can do 90*5%.

[tex]90*5[/tex]%[tex]=4.5(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

What is the value of y?

Answers

Answer:

y = 40

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

y+10 + 2y +50 = 180

3y+60 = 180

Subtract 60 from each side

3y+60-60 = 180-60

3y = 120

Divide each side by 3

3y/3 = 120/3

y = 40


10 POINTS : What is the solution to the equation 3/5x-6=-1/6x+7, rounded to three decimal places?

Answers

Answer:

x = 16.957

Step-by-step explanation:

(3/5)x - 6 = (-1/6)x + 7

Add (1/6)x to both sides. Add 6 to both sides.

(3/5)x + (1/6)x = 7 + 6

(18/30)x + (5/30)x = 13

(23/30)x = 13

Multiply both sides by 30/23.

x = 13/1 * 30/23

x = 390/13

x = 16.957

What is non-collinear?

Answers

Answer:

Non-colinear means that three given points do not have a single line connecting all 3 of the points.

1. Given a right triangle the first angle is ten degrees more than three times the degree measure of the second angle and the third angle is the right angle. What is the angle measurement of the first angle? Doint)​

Answers

Answer:

The first angle is [tex]70^{o}[/tex].

Step-by-step explanation:

Let the measure of the second angle be represented by [tex]x^{o}[/tex].

Thus, the first angle = [tex](3x+10)^{o}[/tex]

Third angle = [tex]90^{o}[/tex]

Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]

[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]

[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]

[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]

divide both sides by 4 to have;

[tex]x^{o}[/tex] = [tex]20^{o}[/tex]

The first angle = [tex](3x+10)^{o}[/tex]

                        = ( 3 x 20 + 10)

                        = 60 + 10

                        = [tex]70^{o}[/tex]

Therefore, the first angle is [tex]70^{o}[/tex].

10 + (-4) Show Example

Answers

Answer:

6

Step-by-step explanation:

10

-6

=6

Adding a negative number is simply subtraction.

10-4=6

1. What does the slope represent of a graph? (Definition
of Slope)
help!

Answers

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Step-by-step explanation:

The sum of three consecutive natural numbers is 540, find the numbers.

Answers

Answer:

179, 180, 181

Step-by-step explanation:

a +a +1 +a +2 =540

3a +3 =540

3a =540 - 3

3a=537

a=537 :3

a=179 (the first number

b=179 +1 =180 (the second number

c=179 +2 =181 (the third number

537²×15.90²=74²

I know this looks like pythagorean theorem. But how do they teach this to high schooler?​

Answers

Answer:

It looks like this question is not solvable. So, if this is absolutely correct, write "no solution".

Step-by-step explanation:

Below is the first step to attempt solving the equation.

The little twos at the top of each number are called exponents. This means a number times itself.

So,

537*537=288,369

15.9*15.9=252.81

74*74=5476

Now, take the 288,369*252.81 to get a total of 72,902,566.89 .

Since this answer is (obviously) not equal to the 5476 on the other side, the two are not equal.

Here's how you'd work it out on paper to show it isn't solvable.

(537*537)*(15.9*15.9)= (74*74)

(288,369)*(252.81)= 5476

72,902,566.89 ≠5476

So the answer would be:

Not solvable.


[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]

If k>0 and x=7 in the equation, what is the value of k?​

Answers

Answer:

[tex]k=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\sqrt{2k^2+17}-x=0[/tex]

Where:

[tex]k>0\text{ and } x=7[/tex]

And we want to find k.

Firstly, let's substitute 7 for x. So:

[tex]\sqrt{2k^2+17}-7=0[/tex]

Now, we can solve for k. Add 7 to both sides:

[tex]\sqrt{2k^2+17}=7[/tex]

Square both sides:

[tex]2k^2+17=49[/tex]

Subtract 17 from both sides:

[tex]2k^2=32[/tex]

Divide both sides by 2:

[tex]k^2=16[/tex]

Take the square root of both sides:

[tex]k=\pm\sqrt{16}[/tex]

Evaluate:

[tex]k=\pm 4[/tex]

Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:

[tex]k=4[/tex]

So, the value of k is 4.

And we're done!

I NEED HELP ASAP!!!!!!!!

Answers

Answer:

you can say how u shop a discount stores like shein and shop for clearance. You can also say that u used to spend money to keep up with the trends but u realized u needed the money for other important things, so u stopped

Step-by-step explanation:

Polygon Q is a scaled copy of polygon P using a scale factor of 1/2. Polygon Q's area is what fraction of Polygon P's area.

Answers

Answer: Polygon Q's area is 1/4 of Polygon P's area

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

Explanation:

Imagine we had a square with side length 8. The area of this square is 8*8 = 64.

Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.

Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.

In other words,

new smaller area = (1/4)*(old larger area)

So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.

Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Then, he needs to roll each piece into a 2-foot-long rope and cut it into nuggets. If he decides to make each pretzel nugget 1 inch long, how many can he make in all?

Answers

Answer:

The answer to your question is 192 pretzels

Step-by-step explanation:

Data

number of pieces = 8

length of each piece = 2 ft

length of each pretzel = 1 in

number of pretzels = x

Process

1.- Convert ft to in

                        1 ft --------------- 12 in

                         2 ft --------------- x

                         x = (2 x 12) / 1

                         x = 24 ft

2.- Divide the length of each piece by the length of each pretzel

                       24/1 = 24 pretzels per piece

3.- Multiply the number of pretzels per the number of pieces

                       24 x 8 = 192 pretzels

how to solve |-6y|-9>-1

Answers

Answer:

y < -4/3 or y > 4/3

Step-by-step explanation:

|-6y| -9 > -1Since this is an absolute value inequality, we need two equations to set up to solve for y1st equation:-6y - 9 > -12nd equation:6y - 9 >  -1Solve both equations:-6y-9>-1-6y > 8y < -4/36y -9 > -16y > 8y > 4/3

Factor the given polynomial.
9z^2 +15z +4
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A. 9z^2 +15z +4=
B.The polynomial is prime.

Answers

Answer:

(3z + 1)(3z + 4)

Step-by-step explanation:

[tex]9 {z}^{2} + 15z + 4 \\ = 9 {z}^{2} + 3z + 12z+ 4 \\ = 3z(3z + 1) + 4(3z + 1) \\ = (3z + 1)(3z + 4)[/tex]

Identify each of the following variables as qualitative or quantitative. a. Favorite baby name b. Color of car c. Storage space on a computer drive d. Electrical current a. Is the variable qualitative or​ quantitative? Why? A. Favorite baby name is a qualitative variable. Its values are numerical. B. Favorite baby name is a quantitative variable. Its values are numerical. C. Favorite baby name is a qualitative variable. Its values are not numerical. D. Favorite baby name is a quantitative variable. Its values are not numerical.

Answers

Answer:

C. Favorite baby name is a qualitative variable. Its values are not numerical.

Color of car is a qualitative variable. Its values are not numerical.

Storage space on a computer drive is a quantitative variable. Its values are numerical.

Electrical current is a quantitative variable. Its values are numerical.

Step-by-step explanation:

A qualitative variable is a variable that is categorical and isn't numerical.

For example, your favourite baby names and colours are categorical, they cannot be measured on a numerical scale

Quantitative Variable are  variables that can be measured on a numeric scale.  Ordinal, interval and ratio scales are quantitative scales.

Storage space can be measured on a numeric scale e.g. the storage space has 400 GB

Electric current can be measured on a numeric scale e.g. eclectic current is 50 volts

Find the complement of the set given that U = {x | x ∈ I and −3 ≤ x ≤ 7}. (Enter your answers as a comma-separated list.) {x | x ∈ W and x < 5}

Answers

Huh?? Can u attach a picture or some

the radius of a circular playground is 77 metre.Calculate the distance covered by a runner in 5 complete rounds around the ground.​

Answers

Answer:

2419.0265 meters

Step-by-step explanation:

To find the answer you must first find the circumference of the circle. The circumference formula is C = 2 \pi r. So if you plug in 77 you get 483.8053. Then multiply that by 5 and you will have your final answer.

Consider the following exam question and student solution. Determine whether the solution is correct. If it is not​ correct, write a note to the student explaining why it is wrong and give a correct solution. Exam​ question: You can buy a ​56 pound bag of flour for ​$9 or you can buy a​ 1-pound bag for .39 cents. Compare the per pound cost for the large and small bags. Student​ solution: The large bag price is 56 divided by 9=6.22 ​per​ pound, which is much more than the 39 cent per pound price of the small bag.

Answers

Answer:

actually a 56 pound bag cost =9

so one pound bag cost =9/56=0.16 cents

Step-by-step explanation:

please help me it is easy,

Answers

Answer:

i think id say it is 10.5 i might be wrong though

Step-by-step explanation:

Answer:

14 lemonade serving

Step-by-step explanation:

1½+3=4½

In 4 liters we get 12 ⅓serving of lemonade

In ½ we get 1 serving of lemonade from the ½ we remain with to ⅙liters so we still add that as a serving

Total =12+1+1=14

Find LM.
2x-16 x-9
11
L
M
N

Answers

Answer:

LM is 8

Step-by-step explanation:

LM --> (2x-16)+(x-9) =11

Solve for x

2x+x-16-9 =113x-25=113x=36x=12

Plug in this value for LM equation to solve for LM:

(2x-16)2(12)-1624-16 = 8

LM is 8

Choose the rate of change (slope) to match the line.
ТУ
14 2 0
2
O A 2
B
3
D.
celine
Review prog
Math plzzzzz help

Answers

Answer:

B. [tex] -\frac{3}{2} [/tex]

Step-by-step explanation:

Rate of change/slope is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use the coordinate pairs of any two points on the slope/line.

Let's use the following coordinates pairs:

[tex] (-2, 4) = (x_1, y_1) [/tex]

[tex] (0, 1) = (x_2, y_2)

Plug in the values into the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]:

[tex] m = \frac{1 - 4}{0 - (-2)} [/tex]

[tex] m = \frac{-3}{0 + 2} [/tex]

[tex] m = \frac{-3}{2} [/tex]

[tex] m = -\frac{3}{2} [/tex]

3
Which expression is closest in value to 5.66?

Answers

Let's consider the standard and usually used value of irrational numbers given in the question.

It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

[tex] \dfrac{\pi}{2} + \pi[/tex]

Let consider π = 3.14

[tex] \dfrac{3.14}{2} + 3.14[/tex]

[tex]1.57 + 3.14[/tex]

[tex]4.71 \: (approx.)[/tex]

B) GiveN:

[tex]2\pi - 1[/tex]

Here also, let's consider the value be 3.14

[tex]2 \times 3.14 - 1[/tex]

[tex]6.28 - 1[/tex]

[tex]5.28 \: (approx.)[/tex]

C) GiveN:

[tex]4 \sqrt{2} [/tex]

Let's consider the value of √2 be 1.414

[tex]4 \times 1.414[/tex]

[tex]5.6516 \: (approx.)[/tex]

D) GiveN:

[tex]8 - \sqrt{3} [/tex]

Let's consider the value of √3 be 1.732

[tex]8 - 1.732[/tex]

[tex]6.268 \: (approx.)[/tex]

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

please help me guys im lost​

Answers

Answer:

  D.  BC ≅ EF

Step-by-step explanation:

ASA means you're trying to show congruence by showing two angles A..A and the segment between them ..S.. are congruent. The figure shows two congruent angles. What remains is to show the segments between are congruent.

__

In ∆ABC, the marked angles are B and C, so the segment between them is BC.

In ∆DEF, the marked angles are E and F, so the segment between them is EF.

These are the segments that need to be shown congruent if you're using ASA.

  BC ≅ EF

It takes Mrs. Rice 4 hours to drive the 240 miles to visit her sister in Plano.
Calculate the rate to the nearest whole mile per hour for Mrs. Rice's drive.

Answers

Given:

Time = 4 hours

Distance = 240 miles

To find:

The speed or the rate mile per hour for Mrs. Rice's drive.

Solution:

We know that,

[tex]Speed =\dfrac{Distance}{Time}[/tex]

On substituting the given values, we get

[tex]Speed =\dfrac{240}{4}[/tex]

[tex]Speed =60[/tex]

Therefore, the speed or rate is 60 mile per hour for Mrs. Rice's drive.

Could I get some help on these please? Will give points.

Answers

Answer:

X=-4, Y=22, idk about the CBD

Step-by-step explanation:

4y+2=90 degrees

subtract 2 on both sides you would get

4y=88 divide 4 with 88 and get 22

solve both X's so 5x+6=3x-2

i would subtract 3x first so i can get

2x+6=-2

then subtract 6 on both sides so you would have

2x=-8 divide -8 with 2 and get -4  

Suppose that the overall probability of living to age 70 is 0.62 and that the overall probability of living to age 80 is 0.23. If a person reaches their 70th birthday, what is the probability that they will live to age 80?

Answers

Given :

P( X = 70 ) = 0.62 .

P( X = 80 ) = 0.23 .

To Find :

We need to find If a person reaches their 70th birthday, what is the probability that they will live to age 80 .

Solution :

We need to find :

[tex]P(X=70 | X=80 )[/tex]

We know ,

[tex]P(x,y ) = \dfrac{P(x)}{P(y)}[/tex]

So ,

[tex]P(X=70 | X=80 )=\dfrac{P(X=80)}{P(X=70)}\\\\=\dfrac{0.62}{0.23}=0.371[/tex]

Hence , this is the required solution .

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What major island is east of Africa in the Indian Ocean? please help! there were many reasons that european nations launched explorations--cultural, economic, political, and technological. as you read the text, circle each reason and label it as follows: "C" for cultural; "E" for economic; "P" for political; and "T" for technological after you have identified each reason, choose the one category that you think was the most important to european nations who supported voyages of exploration. explain the reason for your choice. SOMEONE PLEASE ANSWER THIS ASAP!!!!!!!!!!!!How did the ruling in Plessy v. Ferguson contribute to the phenomenon shown in the map?A. A rise in southern segregation laws spurred African Americans to abandon areas with legalized discrimination B. The loss of voting protections in the south prompted African Americans to emigrate to secure equal rightsC. Tolerance of lynchings among southern states encouraged African Americans to seek safer communitiesD. The legality of southern sharecropping that kept African Americans poor led them to speak new job opportunities .According to the text, confusion is an important part of growth. Why do people resist it? How do you feel when you are confused? "Are we a society of Sleepwalkers?" "Socrates warned the citizens of Athens against 'sleepwalking through life.' Do you think people of today are 'rushing through life' without taking time to reflect deeply on the meaning of life and the state of their souls?" how do you compute overtime pay? What is the y-intercept of:y = x2 - 6x + 5 Hey, I know the correct answer is C. May someone please explain or give me an example why the answer is C. Is it safe to drink an energy drink every day or several drinks each week? Why or why not? Support your answer with facts and details from the Article.Type your answer in the text box below. Question:2) Which of these food chains is correct?A) Deer>>>grass>>>grasshopper>>>treeB) Fox>>>rabbit>>>grass>>>grasshopperc)Grass>>>grasshopper>>>bird>>>owlD) Grass>>>tree>>>deer>>>grasshopperguys please answer Find the length of side CB in the following right triangleRound your answer to the nearest tenth. Which is the only region separated into two sections Which of the following organic molecules are classified as carbohydrates?amino acidsO nucleotidesO sugarsO fatty acids Why are alkalis sometimesdescribed as the opposite ofacids? 4.46 x 1010 /6.52x 10-8 = Please help due in 10 min Submit your paragraphs that reflect two examples of user-generated content on the Internet that interest you, and explain details to support your interest. if the coefficient of friction is root 3 the angle of friction is What is longitude? (3 points) Symbols used on a map to represent the location of places in real life Imaginary vertical lines that circle the Earth Imaginary horizontal lines that circle the Earth A circular symbol found on a map that shows direction pls help will mark brainliest