The scale of a map is 1:4 000 000. Hint: 1:4 000 000 means that 1cm on the map = 4 000 000 on the ground. The distance between Leeds and London on this map is 8.125cm. Calculate the actual distance between Leeds and London. Give your answer in kilometres.

Answers

Answer 1

Answer:

325 km

Step-by-step explanation:

Given the scale :

1 : 4 ,000, 000

1cm measure in map = 4000000 on the ground

From the map :

Distance between Leeds and London = 8.125 cm

The actual distance on ground can be calculated thus :

1cm = 4,000,000

8.125cm = x

Cross multiply

x = 32500000 cm

Converting to kilometers :

1 km = 100,000 cm

x = 32500000

Cross multiply

100,000x = 32500000

x = 32500000 / 100000

x = 325

Hence, actual distance between Leeds and London is 325 km


Related Questions

Divide using any method 2x^2+5x+1 ÷ X+3​

Answers

Question:

Solve the equation 2x2−5x+3=0 by the method of completing square.

Answer:

We have,

2x2−5x+3=0

⇒x2−25x+23=0 (Dividing throughough by 2)

⇒x2−25x=−23 (Shifting the constant term on RHS)

⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)

⇒(x−45)2=1625−23⇒(x−45)2=16

If someone gave you 100,000$ dollars, what would you spend it on, and why?

1. ROBUX

2.FORTNITE VC

3. 2K 21 VC

Or 100,00$ for a house and car + own a Resturant

Answers

Answer:

I would use it for a house, car, and own rhe restaraunt

Answer:

House+Car+restaurant

Step-by-step explanation:

Imagine being such an addict that you spend it on a video game tho

ez points :)

BRAINLIEST PLSSSSS

Determine how to translate triangle A'B'C' to triangle ABC.

Answers

Answer:

im not sure how to explain it, but you should look up your workbook on slader then type in the page of the homework you're doing and the answers are right there

Step-by-step explanation:

A rectangular room is 15 feet long and 10 feet wide. A scale drawing of the room has a width of 5 inches. What is the length of the room in the drawing?

Answers

Answer:

7.5

Step-by-step explanation:

The sides of a regular hexagon is 16ft. What is the area of the hexagon?

Answers

64 squared ft bc if you have one size of the hexagon that is 16 ft you times that by 4 bc you have to multiply all sides to get the area and you should get 64 sq ft if I’m wrong I’m sorry lol

Answer:

665.1

Step-by-step explanation:

The formula for an area of a hexagon is [tex]\frac{3\sqrt{3}}{2}S^{2}[/tex]

the S (side) is 16 so,

[tex]\frac{3\sqrt{3}}{2}16^{2}[/tex]

=[tex]\frac{3\sqrt{3} }{2}256[/tex]

=[tex]3\sqrt{3}[/tex] × 128

= [tex]384\sqrt{3}[/tex]

round to the nearest sq. rt. means that you have to round to the nearest tenth, or 0.1

[tex]384\sqrt{3}[/tex] is 665.10751 as a decimal

665.1 as rounded. Therefore, the area of the hexagon is 665.1 sq ft

what is the rate unit for 1700 meters in 40 minutes



please help

Answers

Answer:

42.5m/s

Step-by-step explanation:

Divide by 40

In triangle PQR, PQ = 8 cm, QR = 6 cm, and mZPQR = 30°.
Exactly how long is PR?
P
8 cm
30°
6 cm
R

Answers

Answer:

PR = 10

Step-by-step explanation:

Pythagoras

hypotenus ² = base² + attitude ²

substitution ; PR² = 6²+8²

PR² = 100

PR = √100

So, PR = 10

hope it helps you ☺️

How you Can find the area of a composite figure?​

Answers

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

What is the volume of the tissue box 5in 7in 2in

Answers

Answer:

70 inches cubed

Step-by-step explanation:

5 times 7 times 2 gives you the volume.

What is -30+-30-30-30

Answers

Answer:

-120

Step-by-step explanation:

-30

but you have -30 -30 -30

what if we add it to make -90

then we have -30

same thing if you forgot to put + like

-30 + -30 + -30 + 30

still would be -120

Adrian is drawing a map to show the directions from his house to his grandmother's house. He uses a scale of 1 1/2
inches represents 12 miles. If the distance from his house to his grandmother's house is 36 miles, how long is the drawing
on the map?

Answers

It’s going to be 4 1/2 inches.
36/12=3
3x1 1/2=4 1/2

The length of the drawing on the map for 36 miles is given by the equation A = 4 1/2 inches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of miles be = 12 miles

So , 12 miles on the drawing represents = 1 1/2 inches

Now , the number of miles = 36 miles

12 x 3 = 36 miles

And , 36 miles on the drawing represents = 3 x 12 miles on the drawing

Substituting the values in the equation , we get

36 miles on the drawing represents A = 3 x ( 1 1/2 )

On simplifying the equation , we get

36 miles on the drawing represents A = 4 1/2 inches

Hence , the value on the drawing is 4 1/2 inches

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Help please!!!!! Giving extra points!!!!

Answers

Answer:

16

Step-by-step explanation:

Answer:

I think 16...

Step-by-step explanation:

3. If you buy a new car for $6,000 which depreciates at 4%/year,
what will the value be after 3 years?

Answers

Answer:

$5,308.42

Step-by-step explanation:

(see attached for reference)

recall that the formula for Depreciation

is given by

A = P ( 1 - r)^t,

where

A = final amount

P = principal amount = given as $6,000

r = depreciation rate = given as 4% = 0.04

t = time in years = given as 3,

Simply substitute these into the equation to get:

A = P ( 1 - r)^t

= 6000( 1 - 0.04) ^ 3

= 6000 (0.96)^3

= $5,308.42

A pool measuring 80 ft long × 40 ft wide × 16 ft high is half filled with jello for a charity event. A second pool that measures 50 ft long × 16 ft wide × 12 ft high is completely filled with jello. All the jello in the second pool is pumped into the first pool. What is the height of the jello in the first pool now?

Answers

Answer:

The answer is  11

Step-by-step explanation:

Please help meeeeee, really stuck

Answers

Answer:

30 m²

Step-by-step explanation:

The figure can be divided into two parts.

The top rectangular part with its width as : w= 2m  and length, l= 9 m

The area , A = l * w = 2*9 = 18 m²

The bottom rectangular part has its width as : w= 2m and length , l = 6 m

The area , A = l*w = 2*6 = 12 m²

Total area is given as :

18 + 12 = 30 m²

Solve the inequality
[tex] 25 + 8x \leqslant 475[/tex]

Answers

Answer: x<225/4

Step-by-step explanation: hope this help

Augie has hit the baseball 75% of the time this year. How many times will he hit the ball if
he bats a total of 32 times?

I’m need some help please! :(

Answers

Answer:

24 times

Step-by-step explanation:

75% = 0.75, so then you just do 0.75 * 32 = 24

Answer:

For this question, multiply 75% or 0.75 with 32. The result would be 24. So, Augie has hit the baseball 24 times.

yoo someone help asaapp!​

Answers

Answer:

A  76

Step-by-step explanation:

7x+8+7x-2+5x+16+110=360

19x+132=360

19x=228

x=12

∠E=5(12)+16

    =76

Answer:

76. hope it helps.................

The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?


A cone with a right triangle formed from its dimensions; the value of the height is h, and the value of the slant height is y; the height x and the radius form a right angle at the center of the cone.

Answers

Answer:

100π in3

Step-by-step explanation:

I took the test

Answer:

V= 100 π ^3

Step-by-step explanation:

V= π r^2 h/3

13^2 = 5^2 + h^2, h=12

V=π 5^2 12/3

V=π. 25. 4

V= 100 π ^3

The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate?

Answers

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

How do you find area and perimeter of a rectangle with the side lengths of 5x^2 and 12x?

Answers

Answer:

The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.

Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.

Step-by-step explanation:

First let's find the area:

5x² × 12x

= 60x³

Now the perimeter:

2(5x² + 12x)

= 10x² + 24x

PLZ ANSWE ASAP ASAP ASAP LIKE RN ASAP PLZ PLZ

Answers

Answer: Kris's bike

Step-by-step explanation:

KRIS 297/4.5 = 66 gallons per mile

JAKE 366/6 = 61 gallons per mile

BEN = 265.2/5.2 = 52 gallons per mile

Solve the simultaneous equations
x + 5y = 20
x + 3y = 14

X= ?
Y= ?

Answers

Answer:

x=5, y=3

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

x=5 y=3 that is it that guy was right



Rewrite in simplest terms: 8(-10r - 9) + 9r



Answers

Answer:

-2

Step-by-step explanation:

you answer the brackets first then add 9 then add 8

The line of best fit for a scatterplot is shown what is the equation of this line of best fit in slope intercept form?
(pic provided)
1. y=-6x+3/4
2.y=6x+3/4
3. y=-3/4x+6
4. y=3/4x+6

Answers

Answer:

3. y=-3/4+6

Step-by-step explanation:

The y-int is 6, so you can already cross out the first two answers. Then, you know the slope is negative because the line is going downward, so -3/4 has to be the slope bc it is negative.

Answer:

y=-3/4x+6

Step-by-step explanation:

the y/intercept is (0,6) because that is the point where the line crosses the y-axis

knowing that use the point (0,6) and (4,3) to find the slope use rise over run so it goes up 3 and right 4

using the slope intercept equation y=mx+b  it is y= -3/4+6

it is negative because its going downward

hope this makes sense and helps you guys!

34 out of the 68 students at a school assembly were first-grade students. What percentage of the students at the assembly were first-graders?

Answers

Answer:

50%

Step-by-step explanation:

34/68=0.5=50%

Answer:

50%

Step-by-step explanation:

because yes

What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15

Answers

Answer:

d. 8 over 15 = 136 over 15 this is the right answer okay

HELP ASAP YALL- PLS

Answers

Answer: x = 4

Step-by-step explanation:

since it is showing us that the angles are congruent, we know that the smaller triangle is just a scaled-down version of the larger one. in other words, it is the EXACT SAME triangle, just slightly smaller.

so, i redrew them next to each other, so i could compare them easily.

i looked at the corresponding sides that were given, and realized that the side that is 10 on the larger triangle is equal to 5 on the smaller triangle. the side that is equal to 6 on the larger triangle is equal to 3 on the smaller triangle. this concludes that the smaller triangle is exactly half the size of the larger triangle!

so, i figured (using logic) that x must equal 4, simply dividing its corresponding side (with a measure of 8) in half.

hope this helps! xoxo

please help me i’ve been struggling PLEASE !!

Answers

Answer:

1. s=43

2. s=148

3. s=137

Step-by-step explanation:

what is -8(×+2)+2(×-1)=​

Answers

Answer:

-8x-16+2x-2

-4x = 18

x= -4.5 or -4 1/2

Step-by-step explanation:

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