A map has the scale 1 : 200,000 and the distance between two villages on the map is 8 cm. What is the distance in metres between the towns in real life?

Answers

Answer 1

The distance in metres between the towns in real life is 1600000 meters

How to determine the distance in real life?

The scale ratio is given as:

Scale = 1 cm : 200000 m

The map distance of 8cm implies that:

8 cm : Real = 1 cm: 200000 m

Express as fraction

Real/8 = 200000 m/1

Multiply both sides by 8

Real = 1600000 m

Hence, the distance in metres between the towns in real life is 1600000 meters

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Related Questions

Amelie solves the following system of equations.
Which values of x and y satisfy this system of equations?

Answers

The values of x and y that satisfy this system of equations are 10 and 5 respectively

Simultaneous equation

Given the system of equations

x + y = 20

3x - 3y = 30

_____________________

x + y = 20

x - y = 10

Add the equations

2x = 20 + 10

2x = 30

x = 30/2

x = 15

Substitute

x -y = 10

15 - y = 10

y = 5

Hence the values of x and y that satisfy this system of equations are 10 and 5 respectively

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Can someone please help me? I put the answer at 47.1 but it says it's wrong.

Answers

Answer:

47.14 cm

Step-by-step explanation:

Circumference :

π x diameterπ x 1515π15 x 22/7330/747.14 cm (approximately)

BRAINLIEST if correct + small explanation

Answers


Answer is 280

First, find A = 35% (100% less the three known percents = 35

Second, find ratio of B
20% of x = 160
Divide 160/.20 to isolate x
X=800 (total biscuits)
Now take A percentage x 800 biscuits
800 x 35% = 280 people chose biscuit A

David’s mom recorded the amount of time David spent on homework.

Which measure of central tendency should David’s mom use if she wanted to argue that David did not spend enough time on homework?

Answers

The measure of central tendency that David's mum can use to argue is the mean.

What is the Mean of a Data?

The mean of a data is the average of the data points in the data distribution. The mean is a measure of central tendency.

If David really spent enough time on homework, the average of the time he uses will give David's mum the mean time spent by David, which she can use for her argument.

Thus, David's mum can use the mean as a measure of central tendency.

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Answer:

mode

Step-by-step explanation:

In LMN, the measure of N=90°, ML = 17, LN = 8, and NM=15. what is the ratio that represents the secant M?

Answers

Answer:

To be clear, do u want the angle of M?

Answer:

secM = [tex]\frac{17}{15}[/tex]

Step-by-step explanation:

secM = [tex]\frac{1}{cosM}[/tex]

cosM = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{15}{17}[/tex] , then

secM = [tex]\frac{1}{\frac{15}{17} }[/tex] = [tex]\frac{17}{15}[/tex]

What is the probability you spin something larger than 10

Answers

The probability you spin something larger than 10 will be 1  /  2.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The given data is:-

There are 8 numbers in the spinner.We need to find the probability of a number greater than 10.

The probability will be calculated as:-

Total numbers = 8

Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4

Probability  =  4  /  8  =  1  /  2

Therefore the probability you spin something larger than 10 will be 1  /  2.

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Can someone please answer this math?

Answers

The volume of the cylinder will be 621.72m³.

How to calculate the volume?

Thw volume of a cylinder will be:

= πr²h

= 3.14 × 3² × 22

= 621.72 m³

The volume of the cone will be:

= 1/3πr²h

= 1/3 × 3.14 × 2² × 12

= 25.12m³

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37, 42, 48, 51, 52, 53, 54, 54, 55

Answers

sorry, what’s the question?

Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?

Answers

Answer:

do the calculation below

Step-by-step explanation:

(4/52 ) *(3/51)

leave a comment if you need more help

What are the roots of the equation 9x^2-6x+2=0 in simplest a+bi form?

Answers

Answer:

Step-by-step explanation:


The dimensions of a right rectangular prism are 1.5 cm,0.5 cm and 2. 25 cm.
What is the volume of the prism?

Answers

The volume of the triangle will be V=1.6875 cm^3

1.Mary has ( 20xy - 10x²) sweets. She wants to divide the sweets each friend will get in term s of x and y

a) if X=6 and Y=4, how many sweets:

i) Will she give to each friend?​

Answers

Answer:

X will get 20 sweets and Y will get 30 sweets.

Step-by-step explanation:

Substitute for x and y in in the equation.

20(6)(4) - 10(6)(6)

480-360

=120

Mary has 120 sweets.

Then divide 120 by 6 and 4

120/6= 20 sweets and 120/4 =30 sweets

The Patel family looks at a map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 334
3
3
4
inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 514
5
1
4
inches apart on the map. The scale on the map is 12
1
2
inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville? Enter your answer in the box.

Answers

Answer:

282.7miles

Step-by-step explanation:

334+514=848inch

12inch=4miles

848inch=x

[tex]x = \frac{818 \times 4}{12} = 282.7[/tex]

Total distances in miles

334+514848inches

Now 12 in =4mi

3in=1mi

Total miles

848/3282.7mi

Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation?

A. 0.75x = 0.8(x + 10)
B. 0.75(x + 10) + 0.8x = 101
C. 0.75x + 0.8x + 10 = 101
D. 0.75x + 0.8(x + 10) = 101

Jared attempted ____ shots.

Zach attempted ____ shots.

Answers

D is correct equation
.75x + .8(x+10) = 101
.75x + .8x + 8 = 101
1.55x + .8 -.8 = 101-8
1.55x = 93
Divide both sides be 1.55
X = 60. Jared
X + 10 = 70 Zach

Have a great day!


Answer: the other person is correct

3. Find f(5)+j(-2) if f(x)=12-3x and j(x)=x² + 4x - 1.

HELP ME PLEASEEEE

Answers

The value of the expression f(5) + j(-2)  is -8 where f(x)=12-3x and j(x)=x² + 4x - 1

How to solve the equation?

The expression is given as:

f(5) + j(-2)

Where f(x)=12-3x and j(x)=x² + 4x - 1

Calculate f(5) and j(-2)

f(5)= 12 - 3(5) = -3

j(-2) = (-2)² + 4(-2) - 1 = -5

So, we have:

f(5) + j(-2)  = -3 - 5

Evaluate

f(5) + j(-2)  = -8

Hence, the value of the expression f(5) + j(-2)  is -8

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awnser this pls im in a bad mood

Answers

Answer:

I think its 1/6 and if I'm wrong I'm very sorry but I think its 1/6

Step-by-step explanation:

Answer:

it's [tex]7* \frac{1}{6} =\frac{7}{6}[/tex]

Step-by-step explanation:

Yeah same, have a great day I guess i don't know I'm not in the mood

[100 POINTS] What is the measure of the arc from A to B that does not pass through C?

(Fill in the blanks)

Answers

Answer:

the answer to the questions is 140

Central angle

2(40)=80°

So measure of arc BC is 80°

Use inscribed angle theorem

The measure of arc from A to B that doesn't pass through C is

180-mBC180-80100°

What is the value of the underline digit?

119.65

Answers

1 1 9 . 6 5
1 is the the hundreds place
1 is the tens place
9 is the ones place
6 is the tenths place
5 is the hundredths place

Please answer !!!!!!!

Answers

The measure of all the angles is given below:

angle 1= 30

angle 2=  150

angle 3= 30

angle 4= 150

angle 5= 30

angle 6= 150

angle 7= 30

angle 8= 73.5

What is angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

As,

angle 1= 30 (Vertically opposite angle)

angle 7= 30 (corresponding angle)

angle 4+30= 180 (linear pair)

 angle 4= 150

angle 4= angle 2= 150 (Vertically opposite angle)

angle 2= angle 6= 150  (corresponding angle)

angle 1= angle 5= 30  (corresponding angle)

angle (2x+3)= angle 4  (corresponding angle)

     2x+3= 150

      x= 73.5

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Evaluate -6y - 5 for y = 1/2

Answers

Answer:

15

Step-by-step explanation:

-6y-5

Substitute 1/2 for y.

-6y-5

-6(1/2)-5

-3(-5)

15

find the value of x in 4^2x / 4^x = 64

Answers

Answer:

sorry I don't know

Step-by-step explanation:

sorry

Write the two equations that represent this information

Answers

Answer:

where is the information?

Step-by-step explanation:

the attachment below is the question

Answers

Answer: 2

Step-by-step explanation:

We need to find y when x=1, which is 2.

What is the name of the red dot located on the curve of the parabola below?
O A. Center
B. Focus
C. Vertex
D. Directrix

Answers

C. Vertex (x,y). The vertex is right in the middle of the quadratic graph.

Sam opened a stationery store in his neighborhood. His annual profit grew by $5,000 per year in the first 2 years. Then for 2 years, his annual profit was constant at $10,000 each year. Then his annual profit grew by $10,000 per year for the next 3 years.

Which graph models the piecewise function for the given situation?

Answers

Please find attached the image of the graph that models the function.

What is a graph?

A graph is a pictorial representation of data. A graph is made up of the x-axis and the y-axis.  On this graph, the number of years is on the y-axis and the profit is on the x-axis.

Profit in year 1 = $500 Profit in year 2 = $5000 + $5000 = $10,000Profit in year 3 and 4 = 10,000Profit in year 5 = 10,000 + 10,000 = $20,000Profit in year 6 = 20,000 + 10,000 = $30,000Profit in year 7 = 30,000 + 10,000 = $40,000

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Answer: other dude is correct

Step-by-step explanation:

All of the following are equivalent, except.

Answers

Answer: B.

Step-by-step explanation: This is because you can't possibly have an exponent, there are no two of the same value being multiplied together.

What figure is a dilation of Figure A by a factor of 12?


A quadrilateral labeled figure A. The sides are labeled 2 inches, 4 inches, 1 inch, and 5 inches, clockwise about the figure.




Note that the images are not necessarily drawn to scale.





A.A quadrilateral. The sides are labeled 1 inch, 3 inches, 0.5 inch, and 4 inches, clockwise about the figure.


B.A quadrilateral. The sides are labeled 4 inches, 8 inches, 2 inches, and 10 inches, clockwise about the figure.


C.A quadrilateral. The sides are labeled 3 inches, 5 inches, 2 inches, and 6 inches, clockwise about the figure.


D.A quadrilateral. The sides are labeled 1 inch, 2 inches, 0.5 inch, and 2.5 inches, clockwise about the figure.

Answers

The dilation factor for the question should be 1/2 as per options

So

dilated lengths are

2(1/2)=1in4/2=2in1/2=0.5in5/2=2.5in

Option D

Answer:

D

Step-by-step explanation:

Figure A is dilated by a scale factor of 1/2.

Hence, new dimensions will be :

⇒ 1/2 × 2 = 1 inch

⇒ 1/2 × 4 = 2 inches

⇒ 1/2 × 1 = 0.5 inch

⇒ 1/2 × 5 = 2.5 inches

Option D has the right dimensions

Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the length of the shorter piece.

How long will each piece of rope be?

Enter your answers in the boxes.

Shorter piece:
ft

Longer piece:
ft

Answers

Answer:

Shorter = 4ft.

Longer = 10ft.

Step-by-step explanation:

Shorter = x

Longer = 3x - 2

Piece of rope = 18

(3x - 2) + x = 18

4x - 2 = 18

4x = 16

x = 4 (shorter piece)

Longer piece

3x - 2

3(4) - 2

12 - 2 = 10

20 POINTS + BRAINLY Complete the table.




52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72


Interval Frequency

50-54 2


55-59



60-64



65-69



70-74

Answers

The frequency of the data set that matches with the interval stated are:

50 - 54: 2

55 - 59: 6

60 - 64: 7

65 - 69: 3

70 - 74: 2

What is a Frequency?

Frequency is the number of times a data point or a set of points within an interval appears often in a data set.

The corresponding frequency to each of the interval given for the data would be as follows:

50 - 54: 2

55 - 59: 6

60 - 64: 7

65 - 69: 3

70 - 74: 2

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A teacher has a large container of blue, red, and green beads. she reports to the students that the proportion of blue beads in the container is 0.30. the students feel the proportion of blue beads is lower than 0.30. a student randomly selects 60 beads and finds that 12 of the beads are blue. the p-value for the test of the hypotheses, h0:p=0.30 and ha:p<0.30, is 0.045. what is the correct interpretation of this value?

Answers

The interpretation of this value is that the null hypothesis is that the proportion of blue beads in the container is 0.30 and the alternative hypothesis is 0.045.

What is a null hypothesis?

It should be noted that the null hypothesis simply means a statical theory that suggests that there's no relationship between the variables given in the data set.

From the information given, it was stated that the proportion of blue beads in the container is 0.30. Here, the interpretation of this value is that the null hypothesis is that the proportion of blue beads in the container is 0.30 and the alternative hypothesis is 0.045.

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