b) The distance between two places is 18 km. If the map scale is 1:400000, find the
distance between the places in centimetres drawn in the map.​

Answers

Answer 1

Answer:

Map scale is 1:400000 => 1 cm on the map represents 400000 cm (4 km) on the ground.

So, 18 km on the ground is represented by 18/4 cm or 4.5 cm on the map.

Answer: 4.5 cm

Step-by-step explanation:

The clear and easiest way to deal with this problem is to convert all measurements to centimeters because that is the stated unit to be used. In SI, the metric prefixes can be written as exponents. The prefix kilo corresponds to 10^3 while the prefix centi corresponds to 10^-2 so 18 km = 18 x 10^3 m = 18 x 10^3 x 10^2 cm= 18 x 10^5 cm.

The number 18 x 10^5 cm is to be reduced to 400,000 times in the map and it means a process of division is to be performed. Dividing 18 x 10^5 cm by 400,000 gives a quotient of 4.5 cm.

This means that an actual distance of 18 km, on the map it just corresponds to 4.5 cm distance if the scale used is 1:400,000.


Related Questions

The cost of a sweater at a clothing store was $35. The sweater went on sale at a discount of 20% off the original price. What is the sale price of the sweater?

Answers

The answer is 28$ :))

Answer:

$28

Step-by-step explanation:

First, we have to find 20% of 35.

We can do that by multiplying 0.20 by 35. (0.20 x 35)

After multiplying them, we get a product of $7.

Since the sweater went on sale and they took 20% off of the original price, we have to subtract $7 from the original price of $35. (35 - 7)

We can solve that to get us the discounted price of $28

(sorry if this is confusing but I hope it helped)

Help!!!! I will give brainliest to the first person who answers this!!!!

Answers

Think it is the 8 ticket deal cuz it has more but for me it really depends on what I am going to buy them for.

Hope this helps God Bless

If you were given four DNA sequences how would you know if a mutation has occurred?

ITS ACUALLY BIOLOGY PLEASE HELP ASAP ILL GIVE BRAINIEST

Answers

Answer:

Step-by-step explanation:

To  know if a mutation has occurred, compare DNA base sequences with members of the species. To identify a chromosomal mutation,  you could examine some karyotypes.

If you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
ice cream
vanilla
chocolate
toppings
fudge
cherry
marshmallow

Answers

You can make six different sundaes.
you can make 9 different sundaes


What is the value of x?

Answers

Answer:

x=139°

Step-by-step explanation:

7 sides

180(7-2)=900°

900-(118+129+129+109+137)=278

278/2=139°

The figure below is a net for the box to the right. What is the surface area of the box?

Answers

Answer:

Im not really sure, but I would put 24 square feet. You can check if my answer is right.

Step-by-step explanation:

“The quotient of two integers is always
an integer"
This statement:
A
is true.
B
is false.
С
does not provide
enough information.

Answers

the correct answer would be c

Answer:

“The quotient of two integers is always an integer"

B. False

Step-by-step explanation:

Suppose, 3 and 7 are integers but it's quotient 3/7 is not a integer.

Find the volume of a rectangular prism that has a height of 5 meters and the area of the base is 8cm squared

Answers

Answer:

Volume of prism = 4000 cm cubed

Step-by-step explanation:

Given that:

Height of rectangular prism = 5 meters

Converting into centimeters as the area of base is in centimeters.

1 meter = 100 centimeter

5 meters = 500 cm

Area of the base = 8 cm squared

Volume of prism = Area of base * Height

Volume of prism = 8 * 500

Volume of prism = 4000 cm cubed

Hence,

Volume of prism = 4000 cm cubed

Caleb solved this equation and recorded his work.

7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6

1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6

2. 15.6x − 16.4 = −2.3x + 35.4

3. 17.9x − 16.4 = 35.4

4. 17.9x = 51.8

5. x ≈ 2.89

When Caleb verified his solution, it didn’t work. What mistake did he make?
In step 1, the distributive property was not used properly on the right side of the equation.
In step 2, the like terms were not combined properly on the right side of the equation.
In step 3, the addition property of equality was not used properly to isolate the variable term.
In step 5, the division property of equality was not used properly to solve for x.

Answers

Answer:

its B

Step-by-step explanation:

edg

Answer:

Step-by-step explanation:

In step 2, the like terms were not combined properly on the right side of the equation. or B

Which ratio is equvalent to 7:3

Answers

Answer:

21:18

Step-by-step explanation:

please help me please will give its about negative numbers ​

Answers

B) x > -3

The number line shows the dot on -3, and it is not shaded, which means that x is not equal to that number. The, the line continues into -2 and so on. This numbers are greater than -3.

So, x is greater than -3.

Answer:

D. x>-3

Step-by-step explanation:

Since the dot on -3 is not shaded in we know it is not ≤ or ≥ so option A and C are eliminated.

Remember if the arrow is pointing to the left (<-----) Then it is Less-than which is <.

If the arrow is pointing to the right (----->) Then it is Greater-than which is >.

Since the arrow is pointing right the answer will be x>-3 which is D

3times what to get -2

Answers

Answer: -0.6 recurring

Step-by-step explanation:

-2/3 = -0.6 recurring

Answer:0.6




Hope u get it write

a box of dried fruit has 51 calories in 3 servings. how many calories are in 1 serving?

Answers

Answer:

17 calories

Step-by-step explanation:

please help me please will give brainliest to anyone who is good


show your work ​

Answers

Answer:

complet the squares

(x^2+14x)+(y^2+12y)=-60

add negative and positive 1/2 of linear coefs inside parenthaees

14/2=7, 7^2=49

12/2=6, 6^2=36

(x^2+14x+49-49)+(y^2+12x+36-36)=-60

factor perfect square

((x+7)^2-49)+((y+6)^2-36)=-60

get rid of parnthaeses

(x+7)^2-49+(y+6)^2-36=-60

(x+7)^2+(y+6)^2-85=-60

add 85 to both sides

(x+7)^2+(y+6)^2=25

B is answer

Step-by-step explanation:


5-6
(a) 1
(b) -1
(c) 11
Select the correct answer !!!!!HELP OVER HERE!!!!!!!!!

Answers

-1 or more b!!!! :)

Answer:

5 - 6

(b) since 5 is lesser than 6

the answer is -1

if the question was the other way round; 6 - 5 is 1

Suppose Marcy's rectangular laptop measures 12 inches by 9 inches. Find the area of her
laptop and express your answer to the nearest square centimeter.
[Ar= L•W]
L=length W=width A=area Ar=? 1inch=2.54 centimeters

A 696 square centimeters
B 697 square centimeters
C 660 square centimeters
D 658 square centimeters

Answers

Answer:

B

Step-by-step explanation:

Sana makatulong answer ko

697 square centimeters

Step-by-step explanation:

<3

PLEASE HELP ILL GIVE BRAINLIEST Which equation choice could represent the graph shown below?

Answers

Answer:

A,   x(x-4)

Step-by-step explanation:

None of them will give you the vertex you want but the x intercepts are only correct for A

Answer:

Its The Bottom Right one I think D

Step-by-step explanation:

Evaluate the following expression. Be sure to show your work.

Answers

Answer:

12

Step-by-step explanation:

[tex] \frac{ {6}^{2} }{3} = \frac{36}{3} [/tex]

[tex] \frac{36}{3} = 12[/tex]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

[tex]\frac{6^2}{3}[/tex]  Equation

Step 2

[tex]\frac{6^2}{3}[/tex]  Simplify the fraction

[tex]\frac{36}{3}[/tex]

Step 3

[tex]\frac{36}{3}[/tex]  Divide both sides by 3

12

answer

12

Hope this helps

A rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle. What is the area in square centimeters of the dilated rectangle?

Answers

Answer:it’s 4,000

Step-by-step explanation:

The area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters.

What is scale factor? How it is used in Dilating sides?

Scale factor tells us by how much one quantity is greater than the other. It is denoted by [K]. Mathematically -

K = a/b.

Rewriting, we get -

a = Kb

If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka]

Given is a rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle.

Now, after dilation the new dimensions will be -

Length = 3.5 x 80 = 280 cm

Width = 3.5 x 50 = 175 cm

The area in square centimeters of the dilated rectangle will be -

A[d] = 280 x 175 = 49000 square centimeters

Therefore, the area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters

To solve more questions on dilation, visit the link below-

brainly.com/question/13439872

#SPJ2

I’m having trouble on this, can someone help?

Answers

Answer:

for all of them

Step-by-step explanation:

2x - 8y = 16 and 3x - 2y = 19 How would I solve by substitution?

Answers

it would be {x,y} = {7,-5}
Here’s the answer and how you get it :)

Find the length of the missing side (nearest tenth).
31 yd
12 yd

Answers

Answer:

28.6

Step-by-step explanation:

12^2+x^2=31^2 solve for x to get 28.6(rounded)

4 5/2 - 4 3/2

ANSWER WITH EXPLANATION. BRAINLIST!!!!!

Answers

Answer:

1

Step-by-step explanation:

First, we have to make the fractions improper.

To this we would need to multiply the denominator by the whole number and add it to the numerator. 2*4 is 8.  8 + 5 is 13. So for the first fraction, it will be 13/5. Let’s do the second fraction. 2*4 is 8. 8 + 3 is 11. So for the second fraction, it will be 11/2. Since the fractions have the same denominator, we will not have to do anything to them. Now, all you have to do is simple subtraction. 13 - 11 is 2. Since the denominators are the same, it will equal to 2. So the final answer is 2/2 or 1.

Jada and lin are comparing inches and feet. Jada says that the constant of proportionality is 12. Lin says it is 1/12

Answers

Answer:

Jada compared ratio of feet to inches while Lin compared ratio of inches to feet.

Step-by-step explanation:

Let

Inches = x

Feet = y

Constant of proportionality = k

ratio of feet to inches

x = ky

1 feet = 12 inches

12 = k * 1

k = 12/1

k = 12

Ratio of inches to feet.

y = kx

1 = k * 12

k = 1/12

Jada compared ratio of feet to inches while Lin compared ratio of inches to feet.

find the value of x
A) 3
B) 14
C) 5
D) 2

Answers

Answer:

C) 5

Step-by-step explanation:

The measure of angle TSU is 75°. (180° - 105° because it is a flat angle)

The sum of all the angles of a triangle is 180° as well.

You can write an equation to solve for x.

12x + 9x + 75 = 180

Isolate x.

12x + 9x = 180 - 75

12x + 9x = 105

Add the 12 and the 9.

21x = 105

Find what x is.

x = 105 ÷ 21

x = 5

Flash can go 700 miles in 13 minutes. The reverse Flash can go 1,000 miles in 21 minutes. Who is faster? Show your work. btw this is unit rate

Answers

reverse flash is faster have u seen the manga

A two-pound mixture of raisins and peanuts costs $7.50. The raisins cost $3.25 a pound and the peanuts costs $5.75 a pound. How much does each ingredient weight in the mixture?

Answers

he mixture refers to the one pound mix of peanuts and raisins that cost $7.50.

So you need to figure out how much of that 1 lb is raisins and how much is peanuts based on how much they each cost separately.

r=raisins, p=peanuts

(r x $3.25) + (p x $5.75) = $7.50

The weight of the ingredients in the mixture are  1.8 pound and 0.2 pound respectively.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the amount of raisins be x pound,

And, the amount of peanuts be y pound,

Now, the equation for the total amount is given as,

x + y = 2                                  (1)

And, for the cost as,

3.25x + 5.75y = 7.50             (2)

Multiply equation (1) by 3.25 and then subtract from (2) as follows,

3.25(x + y) - (3.25x + 5.75y) = 2 × 3.5 - 7.50

=> -2.5y = -0.5

=> y = 0.2

Then, x + 0.2 = 2

=> x = 1.8

Hence, the weight of raisins and peanuts in the mixture is given as 1.8 pound and 0.2 pound respectively.

To know more about system of equations click on,

brainly.com/question/24065247

#SPJ5

Mr. Benitez sells houses. He gets a 6% commission on all sales.
How much commission would Mr. Benitez earn on a house that
sells for $400,000?

Answers

Answer:

$24,000

Step-by-step explanation:

$400,000 x 6%= $24,000

The Change in your pocket weighs 23.42 grams. You remove a quarter that weighs 8.74 grams. How much weight is in your pocket?

Answers

Answer:

14.68

Step-by-step explanation:

it simple 23.42 minus 8.74

Karrem says that the ratio 4:1 is eqivilent to the ratio of 12:9 because 4+8=12 and 1+8 =9 is karreem correct

Answers

Answer:

No, Kareem is incorrect.

Step-by-step explanation:

Kareem says that the ratio of [tex]\frac{4}{1}=\frac{12}{9}[/tex] because 4 + 8 = 12 and 1 + 8 = 9

But the correct way to rewrite the ratio 4 : 1 is,

[tex]\frac{4}{1}=\frac{4\times 3}{1\times 3}[/tex]

Which becomes as,

[tex]\frac{4}{1}=\frac{12}{3}[/tex]

Therefore, Kareem is not correct.

Correct ratio equivalent to 4 : 1 is 12 : 3.

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