On the map the distance between two towns is 10.5 centimeters. If 3 centimeters represents 90 miles what is the actual distance between the cities in miles?

Answers

Answer 1

Answer: 315 miles

Step-by-step explanation: First divide 10.5 and 3.

10.5 / 3 = 3.5

Then multiply that by 90.

3.5 x 90 = 315

Answer 2

The actual distance in miles between the cities is 315 miles.

Given,

On the map the distance between two towns is 10.5 cm.

If 3 cm represents 90 miles what is the actual distance between the cities in miles?

How to compare two quantities?

We need to multiply in such a way that we get the required expression in one side of the equation.

Example:

If 9 apples in 3 baskets.

9 apples = 3 basket.

In 2 basket we have,

3 basket = 9 apples

Multiply 2/3 on both sides.

2/3 x 3 basket = 2/3 x 9 apples

2 basket = 6 apples.

We have,

Distance between two towns = 10.5 cm

3 cm represents 90 miles.

We can write it as:

3 cm = 90 miles

Multiply 10.5/3 on both sides

10.5/3 x 3 cm = 10.5 / 3 x 90 miles

10.5 cm = 10.5 x 30 miles

10.5 cm = 315 miles

Thus the actual distance in miles between the cities is 315 miles.

Learn more about representing actual distance in km on a map in cm here:

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Related Questions

Write 30/45 in simplest form​

Answers

Answer:

[tex] \frac{30}{45} \\ = \frac{2}{3} (both \: divided \: by \: 15)[/tex]

2/3 is the correct answer.....

Thank you ☺️

Answer: 2/3

Step-by-step explanation: divide 30 and 45 by 15

Which of the following inequalities is shown in the graph

Answers

Answer: D) y ≤ 5/2x + 5

The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.

Hope this helps!

FIRST ANSWER GETS CROWNED BRAINLIEST!!! 30 points!!!
The slope of a line is 3/4. If x increases by 20, what is the corresponding change in y? Please explain the answer.

Answers

Answer:

15

Step-by-step explanation:

15 is three quarters of 20 and a gradient of a graph is how much the y axis increases when you increase the x axis value, so if it increases by a value then in this case we need 3/4 of this value, hence 15

Answer:

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated. You can also drag the origin point at (0,0).

Step-by-step explanation

If it is wrong then I'm sorry

how to factorise 15x-10x^3

Answers

The answer is 5x(3-2x^2)

Let x represent any year. Write an inequality in terms of x and 1610
that is true only for values of x that represent years after the year the Mali Empire fell.

Answers

The year of the empire fell = 1610.

We are given x as a variable that represents the year after the given year 1610.

We need to setup an inequality for this situation.

Please note: The year after the year number 1610 will have a number that greater than 1610.

Let us make a statement for inequality to be written.

"The year after the 1610 is greater than 1610".

The year after the 1610 is x and gerater than symbol is >.

So, we can setup an inequality as:

x > 1610 : Read as x is greater than 1610.

SAS Similarity


Not Similar


SSS Similarity


AA Similarity

Answers

Answer:

So using process of elimination it isnt possible for it to be AA or not similiar bc they are similiar since there vertical angles so were left with picking between SSS and SAS which I know that there is an angle that is congruent which is at the midpoint so if i were you I would put SAS similarity.

Step-by-step explanation:

I just took a test of this lesson so I hope im right.

X to the power of 2 plus Y to the power of 2 plus 4x-2y=1
The equation of a circle in a xy plane is shown above. what is the radius of the circle.
A) 2
B) 3
C) 4
D) 9
I have no idea what the answer is

Answers

Answer:

sfddddddgfd

Step-by-step explanation:

......................................................./



answer:a.2

Name a pair of acute vertical angles

Answers

Heres a answer for your question

Is there a way to rewrite this? It asked me to create an equation, and I did: 180([tex]x^{2}[/tex]). I checked it and it said it was wrong, however, I used the same equation to get the answer for the second question and it was correct. I thought that maybe there was another way to write the equation, so I used the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and had no luck. Is there a way to write it that I don't know about?

Answers

Step-by-step explanation:

Hope this helps, and sorry for the image, my phone is glitchy.

cheers!!!

A line segment is defined by which of the following statements?

Answers

The statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.

A line segment, in geometry, is defined as a line or part of a line having two endpoints.

A diagram showing a line segment with two distinct endpoints have been shown in the attachment below.

A line segment can also contain points between the two endpoints on the line.

Therefore, the statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.

Learn more here:

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Solve for x:  
1/2x + 10 = -2 + x​

Answers

Answer: x = 24

Step-by-step explanation: coz I juss know

Answer:x=24

Step-by-step explanation:hope this helps!

For f(x)=4x+11, what is the value of f(15)?

Answers

71 is the answer

4 x 15 +11= 71

Which of these items is the better buy? A. An 8-pack of glue sticks for $3.99 or 1 glue stick for $0.54? B. A 12-pack of tape for $2.50 or 1 roll of tape for $0.19 c. A 100-pack of pencils for $4.88 or 1 pencil for $0.05 d. A 50-pack of paper clips for $0.89 or a 25-pack of paper clips for $0.45

Answers

Answer: A is the 8-pack, B is the single roll, C is the 100 pack, D is the 50 pack.

Step-by-step explanation:

For each of these, multiply the smaller number by a number that has a product of the bigger number, example D. multiply 25 by 2 to get 50, then compare the totals.

Answer:

the first one is an 8 pack of glue sticks

the second one is 1 tape roll for .19

the third one is 100 pack of pencils for 4.88

the fourth one is a 25 pack of paper clips

Step-by-step explanation:

397 x 543 in partial product mltipulcation box

Answers

Answer:

215571 hope this helps :)

Answer:

to be fair don't ask me plz  

Step-by-step explanation:

The entire length of the Appalachian Trail is 2,160 miles. How long would it take you to hike the full length of the trail?

Answers

Answer:

Step-by-step explanation:

10hours

a=9
b=12
What is the length of c?

Answers

Answer:

c = 15

Step-by-step explanation:

a^2 + b^2 = c^2

This formula is the Pythagorean Theorem, which is used to find the length of one of the three sides to a right triangle. a and b are the two short sides, while c is the hypotenuse (long diagonal side).

Given a and b we are able to solve for c

c^2 = 9^2 + 12^2

c^2 = 81 + 144

c^2 = 225

Square root both sides to cancel the square

c = 15

Answer:

15

Step-by-step explanation:

Use this equation

a^2+b^2=c^2

so,

9 squared is 81 and 12 squared is 144.

81+144=225

The square root of 225 is 15.

Consider f(x) = mx + b where m and b are both non-zero constants. The function g(x) is the inverse of f(x). Which of the following functions is g(x)? Use composition of functions to check your answer.

Answers

Answer:

2x-54n

Step-by-step explanation:

2x-54 that’s the answer I’m late tho

The sum of two numbers is 91. The greater number is 7 more than the smaller number. Which equation can be used to solve for the smaller number?

x(x + 7) = 91
x(x − 7) = 91
x + (x + 7) = 91
x − (x + 7) = 91

Answers

Answer:

x+(x+7)=91

Step-by-step explanation:

Hope this helps :)

Answer:   your answer for the smaller number is 38.5 and the larger number is 52.5.

Step-by-step explanation:

To make sure it's right, I just add the numbers together.

Your Problem:

91 ÷ 2 = 45.5

45.5 + 7 = 52.5

45.5 - 7 = 38.5

52.5 + 38.5 = 91

Find the function that can be used to represent the bananas

Answers

Answer:

it the 3rd one or the first

Step-by-step explanation:

As an estimation we are told 5 miles is 8 km.
Convert 27.5 miles to km.

Answers

Answer:

44 km

Step-by-step explanation:

8/5 is the conversion between m and km which is 1.6 and then we can simply multiply 27.5 times 1.6 which is 44 km I hope this helps.

Write the equation for this situation, then give the x-intercept, y-intercept, and slope. A person is wanting to burn 500 calories a day through excercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running. ALSO - explain what the x and y-intercepts mean in this situation. Your answer:

Answers

Answer:

[tex]x[/tex]-intercept is [tex](68.5,0)[/tex]

[tex]y[/tex]-intercept is [tex](0,44.2)[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes time denoted (in minutes) by a person in jogging.

Let [tex]y[/tex] denotes time denoted (in minutes) by a person in running.

A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.

So, equation becomes [tex]7.3x+11.3y=500[/tex]

For [tex]x[/tex]-intercept, put [tex]y=0[/tex]

[tex]7.3x+11.3(0)=500\\7.3x=500\\x=68.5[/tex]

So, [tex]x[/tex]-intercept is [tex](68.5,0)[/tex]

For [tex]y[/tex]-intercept, put [tex]x=0[/tex]

[tex]7.3(0)+11.3y=500\\11.3y=500\\y=44.2[/tex]

So, [tex]y[/tex]-intercept is [tex](0,44.2)[/tex]

Differentiate equation [tex]7.3x+11.3y=500[/tex] with respect to [tex]x[/tex]

[tex]7.3+11.3y'=0\\y'=\frac{-7.3}{11.3}\\ y'=-0.65[/tex]

[tex]x-[/tex]intercept means that a person spends 68.5 minutes in jogging and no time in running.

[tex]y-[/tex]intercept means that a person spends 44.2 minutes in running and no time in jogging.

write the sentence as an equation.241is the same as 364 fewer than f​

Answers

Answer:

241 = f - 364

Step-by-step explanation:

The answer is 241 = f - 364

Have a nice day / night! :)

what dose the least common multiple of 4 and 6 mean in this situation (LCM)

Answers

Answer:

12

Step-by-step explanation:

You make a T-chart and list out all the multiples and you find which multiple is the smallest number they both have! For example, 4 and 6 have 12 as their least common multiple because 3 x 4 is 12 and 2 x 6 is 12, that’s the smallest number they both have in common.

One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?A. 22°FB. 32°FC. -38°F. -28°F

Answers

Answer:

-28*F, hope this helps!

Answer:

-28 F

Step-by-step explanation:

please give the other guy brainliest :))))

The diameter of a cylinder is doubled, and the height is cut in half. what will happen to the volume of the cylinder? please!

Answers

Answer:

The volume will be four times the original volume.

Step-by-step explanation:

V = (pi)r2h is the formula for the volume of a cylinder. The formula becomes V = (pi)(2r)2h if the radius is doubled and the height remains the same. V = 4(pi)r2h after simplifying. ... Therefore the new volume would be 4 times the original volume.

Answer ASAP!!! First correct answer gets brainliest

Answers

Step-by-step explanation:

Given problem;

  Write the equation of the line with the given slope and y-intercept

 The equation of a line is expressed as;

          y  = mx + b;

   m is the slope and b is the y-intercept

7. m = -5, b = -6

   y  = mx + b

Input the parameters:

    y = -5x -6

8. m = 1, b = -4

   y = mx + b

Input the parameters:

   y = x - 4

9. m = 0.4, b = -9

    y = mx + b

Input the parameters:

    y = 0.4x - 9

10. m = 0, b = 3

     y = mx + b

Input the parameters:

    y = 3

If 15 is subtracted from three times a certain number,
the result is 27. Find the number

Answers

Answer:

x=14

Step-by-step explanation:

3x-15=27 (add 15 to both sides)

3x=42 (divide both sides by three)

x=14

The required number is -4.

What are linear equation?

A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.

Now it is given that, 15 is subtracted from three times a certain number,

the result is 27.

Now let x be the number.

Three times the number = 3x

Therefore, 15 is subtracted from three times a certain number = 15 - 3x

Therefore, the equation for 15 is subtracted from three times a certain number, the result is 27 is,

15 - 3x = 27

Subtracting 15 both the side we get,

15 - 3x - 15 = 27 - 15

⇒ -3x = 12

or, x = -12/3

⇒ x = -4

which is the required number.

Thus, the required number is -4.

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Visitors to a cinematic are either children, adults or pensioners. Ratio of children to adult visitors is 1:2 Ratio of adults to pensioners is 3:4 A stratified sample of 85 is to be taken from the cinema visitors. How many pensioners should there be in the sample?

Answers

Ratio of children, adults and pensioners is 1 : 2 : 8/3 = 3 : 6 : 8.

Let, 3x is number of children.

So, 6x is number of adults and 8x is number of pensioners.

Now,

3x + 6x + 8x = 85

17x = 85

x = 5

Therefore, number of pensioners are 8×5 = 40.

Hence, this is the required solution.

help please order the temperatures from least to greatest !
-0.8 C
-1.2 C
0.5 C
- 2.0 C
0.8 C

Answers

-2.0 -1.2 -0.8 0.5 0.8

How do you convert an equation into slope intercept form? do you solve for x or solve for y

Answers

Answer:

An equation using the slope-intercept form would be y=mx+b. M would be the slope and b would be the intercept. For example, if slope:5 and intercept:6 the equation would be y=5x+6. Hope I helped!

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Planes X and Y and points C, D, E, and F are shown.Which statement is true about the points and planes?VXThe line that can be drawn through points C and D iscontained in plane Y.O The line that can be drawn through points D and E iscontained in plane Y.O The only point that can lie in plane X is point F.O The only points that can lie in plane Y are points Dand E.E.Save and ExitNextSubmitMark this and return Which subatomic particle determines an element's chemical properties?ProteusElectronCenterNucleon Read the excerpt from Walt Whitmans Song of Myself. 1. Which of the following is an essential element of responsible behavior:Group of answer choices a Compassionb Hopefulnessc Decisivenessd Positivity2 Why can fairness be a tricky concept?Group of answer choicesa It doesnt always mean getting your own way.b Most people dont want to be fair.c Nothing is ever truly fair.d It means something different in every culture.3 Part of accountability isGroup of answer choicesa being fair.b treating others kindly even if they are different from you. c making judgments based on fact rather than opinion.d doing what you say you will do.4 Displaying personal responsibility requires someone to have strongGroup of answer choicesa ethics.b friendships.c writing skills.d professional experience.5 For places such as work or school to function smoothly, everyone mustGroup of answer choicesa talk about their feelings.b have a sense of social responsibility.c pay their taxes on time.d agree on the same solutions.6 Acting responsibly includesGroup of answer choicesa making sure your classmates succeed.b joining an athletic team.c applying for leadership positions.d following the rules.7 Telling the truth can sometimes be difficult becauseGroup of answer choicesa the truth usually causes trouble.b lying is easier than facing the consequences.c people like lies more than the truth.d the truth doesnt help you get ahead in life.8 When you make a mistake, the responsible thing to do isGroup of answer choicesa determine where to lay the blame.b admit it.c quit the project.d try to fix it before anyone finds out.Finishing tasks with care means thatGroup of answer choicesa the tasks are completed on time.b your project will succeed.c your teacher or boss is happy.d the tasks have been triple checked.Acting appropriately meansGroup of answer choicesa never hurting anyones feelings.b treating others with respect even when theyre being annoying.c making sure everyone is happy with you.d putting up with however anyone wants to treat you. HELP PLEASE THIS IS DUE IN FIVE MINUTES A Major League Baseball stadium sells three types of tickets. Reserved tickets are sold for $20 each, field-level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field-level tickets. what takes place in each step of the diagram Last week Karen spent $121.35 on food for her family. She only has $200 to spend every two weeks. How much does hse have left to spend? what is Capitalism in your own word? 1 . Commas are used to offset blank or blank that are blank essential to the sentence. What is the impact of genetically modified corn on society and environment? Last year, Raul estimated that he would need 480 night lights, but he sold 420 night lights. This year, he bought 425 night lights and only sold 375. Which set of statements about the percent errors for the two years is true?The percent error for this year was lower. Raul estimated better last year.The percent error for this year was higher. Raul estimated better last year.The percent error for this year was lower. Raul estimated better this year.The percent error for this year was higher. Raul estimated better this year. Please please please please help please please help How do you solve for x? When vinegar and baking soda are combined, bubbles and foam are produced.What evidence demonstrates that a chemical change has occurred?F A color change occurs.G A gas is formed.H A solid is dissolved.J A precipitate is formed. I need help finding the function equasion of this tableX Y0 01 42 163 364 64 Choose the best response to the following question:De dnde eres?Soy de Mxico.Soy feliz.Soy alto.Estoy cansada. 1. Quinn is knitting a scarf with his grandmother. Yesterday, his grandmotherused 3/4 of askein of wool and Quinn used 1/12 of a skein. How much more wool didQuinn'sgrandmother use than Quinn? Dorothy is buying chips at the grocery store. She needs to decide between Eriks chips that are $3.84 for a 12 oz. bag and Als chips for $3.57 for a 8.5 oz. bag. Which chips are the better buy and by how much? Find the average rate of change over the interval [-4, -1] *f(x) = x^2?