A model village is built to scale.
It has a scale of 1 : 19.
A road has a real-life length of 1.14 km.
What is the length of the road in the model village in m?

Answers

Answer 1

Answer:

The length of the road in the model is 60 m.

Step-by-step explanation:

Given: scale = 1:19

         real-life length of the road = 1.14 km

                                                      = 1140 m

Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.

Scale = [tex]\frac{length on drawing}{actual length}[/tex]

The actual length is the real-life length given as 1140 m.

So that,

[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]

19d = 1140

⇒ d = [tex]\frac{1140}{19}[/tex]

       = 60

Therefore, the length of the road in the model is 60 m.


Related Questions

John Brought 75 shares of HCC stock and 150 Shares
of BWB stock. Last year HCC paid a dividend of $285 per share
and Bwb paid a dividend of $2.0t per share. What was the total
dividend that John Received ?

Answers

You have to take $285.00 times 75 (total number of shares) plus 150 (2nd total number of shares) multiplied by $2.00 . Your total should come out to $21,375.00

what is BC - b + c when b equals 8 and C equals 5 ​

Answers

Answer:

37

Step-by-step explanation:

This simply requires plugging in the numbers-

bc - b + c = ?

(8)(5) - 8 + 5 = ?

Then solve-

40 - 8 + 5 = ?

32 + 5 = 37

Therefore-

bc - b + c = 37

10) How old am lif 300 reduced by 2 times my age is 106?
11) Callie was making note cards. On her way to her room she found
six more note cards to use. In her room she cut each note card in
half. When she was done she had 46 half-note cards. With how
many note cards did she start?
12) Gracy spent half of her weekly allowance on clothes. To earn
more money her parents let her wash the dog for $14.08. What is
her weekly allowance if she ended with $23.42?

Answers

Answer:

150, 23 cards

Step-by-step explanation:

Subtract


- 3x 8 from 4x2 – 7x – 2.

Answers

-2 • (4x2from4 + 5x + 1)

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

(2): Dot was discarded near "2.".

STEP

1

:

Equation at the end of step 1

((-3x -  (23from4 • x2)) -  7x) -  2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

 -8x2from4 - 10x - 2  =   -2 • (4x2from4 + 5x + 1)

Trying to factor a multi variable polynomial :

3.2    Factoring    4x2from4 + 5x + 1

what is h(-2)=-2x+9 ??????

Answers

Answer:

13

Step-by-step explanation:

For this type of question it is giving you a function and it is giving you the x value. all you have to do is plug in x which is -2. -2 x -2 is 4. 4 + 9 is 13.

HOPE THIS HELPS!! (:

Step-by-step explanation:

h(-2)=-2x+9

h(-2)=-2×(-2)+9

h(-2)=4+9

h(-2)=13

=13

Evaluate 2d - 5 if d is 12
Pls help im timed

Answers

Answer:19

Step-by-step explanation:2 d -5

                                    2 (12) -5

                                    24-5

                                     =19

Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why

Answers

Answer:

Square.

Step-by-step explanation:

a). Properties of a square → 1). All sides are equal in measure

                                        2). All interior angles are equal and measure 90°

                                        3). Diagonals are perpendicular and equal in

                                             measure.

Therefore, by third property, its a square because diagonals are perpendicular and  congruent.

A paper publisher in a medical journal reported that about 11/25 of girls ages 16 to 17 did not exercise at all. The entire study consisted of about 2,500 girls. About how many did not exercise?

Answers

Answer:

1400

Step-by-step explanation:

the number of girls aged 16 - 17 that do not exercise = 11/25 x 2500 = 1100

The total number of girls that do not exercise = 2500 - 1100 = 1400

9th grade math please help. A B C or D?

Answers

Answer:

B = no solution

Step-by-step explanation:

y = -5x - 3

-5x - y - 3 = 0

Substitute

-5x - (-5x - 3) - 3 = 0

Distributive Property

-5x + 5x + 3 - 3 = 0

Combine Like terms

0 + 3 - 3 = 0

0 + 0 = 0

0 = 0

This system has no solutions. You don't have a value for x or y

Hope this helped

2 lb of grass seed will cover 50 square feet of a yard how many square feet will 5 lb of grass seed cover

Answers

5 lb of grass seed will cover 125 square feet of yard

Answer:

125 square feet of a yard.

Step-by-step explanation:

So 1 lb of grass seed will fill 25 square feet of yard. Multiply 25 by 5 and get 125.

Change 4% at a decimal

Answers

Answer:

.04

Step-by-step explanation:


Claire and Malia are training for a race.
a. Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? in 2 1/2 hours?

b. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? in 2 1/2 hours?
c. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?

Answers

Answer:

A. Claie runs 5 km in a half hour. In 2 1/2 hours she runs 25 km.

B. Malia runs 2.5 miles in a half hour, and 12.5 miles in 2 1/2 hours.

C. Claire runs farther. She runs approximately 15.5 miles while Malia runs 12.5 miles.

Please help! Lauren is 16, and Cara is 14. Their grandad gives them $1200 to share in the ratio of their ages. How much money do they each get? Show your work, please!!

Answers

Answer:

Lauren will get $640 and Cara will get $560.

Step-by-step explanation:

Given that:

Age of Lauren = 16

Age of Cara = 14

Ratio = 16 : 14

Amount given by their grandad = $1200

Let,

x be the number of times.

16x + 14x = 1200

30x = 1200

Dividing both sides by 30

[tex]\frac{30x}{30}=\frac{1200}{30}\\x=40[/tex]

Share of Lauren = 16x = 16*40 = $640

Share of Cara = 14x = 14*40 = $560

Hence,

Lauren will get $640 and Cara will get $560.


If you have a hypotenuse that measures 13 inches, what do the side lengths need to be to create a right
triangle?

13 inches and 1 inch
12 inches and 10 inchas
12 inches and 5 inches
6 inches and 5 inches

Answers

Answer:

12 and 5 inches since squaring them would equal 144+25, which is 169, and ✓169=13. the two legs have to equal the hypotenuse when combined to be a right triangle.

Top answer is correct

140% of what number is 98

Answers

The answer to this is 78

It appears that the answer is my fat coeck


Can someone please help me anyoneeeee

Answers

Answer:

(8, 0)

Step-by-step explanation:

TAKE NOTE: In a glide reflection, you always start w/ the second transformation.

STEP 1: (2, 7) affected by the reflection

RULE (in this case): (x, y) --> (y, x)

(2, 7) => (7, 2)

STEP 2: (7, 2) affected by the translation

RULE: (x, y) --> (x + horizontal shift, y + vertical shift)

(7, 2) => (7+1, 2-2) or (8, 0)

You can check your answer by doing this the opposite way.

Hope this helped ^^

(Please inform me of any mistakes or misunderstandings!]

C.E.R.
INSTRUCTIONS:
Given that AD II FJ. Use the diagram of a staircase railing to find the value of n. (Think parallel lines cut by a transversal)

then, What is your EVIDENCE? Show all of your work here.

LASTLY, Reasoning-Explain your work, tell me in words why you did the math this way.
CAN SOMEBODY PLZ HELP

Answers

Answer:

n = 35

Step-by-step explanation:

AD║FJ and CH is transversal

∡BCH and ∡CHJ are alternate interior angles

m∡BCH = m∡BCG + m∡GCH = 82° + 30° = 112°

Alternate interior angles are congruent:

m∡BCH = m∡CHJ3n + 7 = 1123n = 105n=105/3n = 35

Please help it’s called Writing Equations

Answers

Answer:

1. A.)4 - 4n = 14

2. C.) 42 * 3 = B

Step-by-step explanation:

1. Four less than : 4 -

Four times a number : 4 × n = 4n

(let n represents the number)

Equals 14 : = 14

= 4 - 4n = 14

2. Each person paid : $42

Keith, Alyssa, and Sara : 3

The bill : let B represent bill

= $46 * 3 = B

I hope this helps!

Write the expression in standard form. 28m ÷ 7m​

Answers

Nothing further can be done with this.

28m / 7m

Hope this helps :)

Which graph represents a function?

Answers

Answer:

b

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

vertical line test

HEEEEEEEEEEEELP Solve the system of equations using the substitution method. Make sure to check your solution. y = 3x + 2 -4x + 4y = 16 In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2. x-coordinate: y-coordinate:

Answers

Answer:

y=3x+2

-4x+4y=16

-4x+4(3x+2)=16

-4x+12x+8=16

8x=16-8

8x=8

x=8/8

x=1

y=3x+2

y=3(1)+2

y=3+2

y=5, x=1

Jackson has $300 and spends $42. What percent of his money is spent?

Answers

answer: 14
explanation: you would simply enter 42 divided by 300 times 100 which would give you 14

Simplify the following expression:
5a2 + 3b - 4 - 9a2 + 6

Answers

-4a^2+3b+2 (sry if I’m wrong:/ )


Please help ASAP ASAP please if you don’t know don’t answer just to get points please *

Answers

Answer: CB = 7.    AC = 5.

Step-by-step explanation:

Well we know that A-B is 7. And this is a right triangle, so the CB will be the same length. So CB = 7.

Now AC.

You divide 45 degrees by 7. And you get five.

So AC = 5 and CB = 7.

Answer:

AC= 7√6/2

CB=7√2/2

Step-by-step explanation:

i posted with answers in the photo

put 73.5 in √ it gives u 7√6/2

The temperature is changing at a constant rate of –0.75ºC per half hour. At 6:45 PM, the temperature was –4.6ºC. At what time was the temperature –2.1ºC?Be sure to include AM or PM in your answer.

Answers

Answer:

11:15PM

Step-by-step explanation:

The difference between 4.6°C and -2.1°C is 6.7

0.75×?=6.7

?=9

This is 9 half hours, which is equal to 4 1/2 hours.

Hope it helped! Please give brainliest, thank me and rate it 5 please. :)

The time at which the temperature was -2.1°C is 5:05 PM

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 ,

The temperature is changing at a constant rate of = -0.75° C every half hour

So ,

30 min = -0.75° C

Divide by 3 on both sides , we get

10 min = -0.25°C

So , temperature is changing at a constant rate of = -0.25° C every 10 minutes

Now , the temperature at 6:45 PM = -4.6°C

So ,

The temperature at 6:15 PM = -4.6 + 0.75

                                               = -3.85°C

The temperature at 5:45 PM = -3.85 + 0.75

                                                = -3.1°C

The temperature at 5:15 PM = -3.1 + 0.75

                                               = -2.35°C

Now , for it to be -0.25°C , the time elapsed will be 10 minutes

So ,

The temperature at 5:05 PM = -2.35°C + 0.25°C

                                                = -2.1°C

Hence , the time at which the temperature was -2.1°C is 5:05 PM

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Help me solve the question in the picture (pls show working)

Answers

Add all the numbers

Answer:

92.75 cm²

Step-by-step explanation:

area of polygon = area of ∆EDA + area of ∆ADC +area of ∆ACB.

area of triangles is ½×base×height.

area of ∆EDA=½×EF×AD

=½×4.5×12

=27 cm². -------->(1)

area of ∆ADC=½×AD×DC

=½×12×5

=30 cm². --------->(2)

area of ∆ACB=½×AC×BG

=½×AC×5.5

from pythagorean theorem

(AC)²=(AD)²+(CD)²

= 25+144

= 169 cm then. AC= 13 cm

then area of ∆ACB=½×5.5×13

=35.75 cm² ---------->(3)

from equation (1), (2) and (3):

then the area of polygon = 27 + 30 + 35.75

=92.75 cm²

Find the missing angle measure​

Answers

Answer:

what is the missing angle measure pls attach a pic if you do so I can help you

enjoy your day

#Captainpower:)

Solve this math problem plz. :) I need full explanation. I'm struggling. ​

Answers

Answer:

12.5 Km / hour

Step-by-step explanation:

Average speed (s) is calculated as

s = [tex]\frac{distance}{time}[/tex]

distance covered is 50 Km and time taken is 4 hours, then

s = [tex]\frac{50}{4}[/tex] = 12.5 Km/ hour

Jennifer received a $25 gift certificate from a music store. She can use it to buy 2 CD’s and 5 cassettes or 1 CD and 15 cassettes. Find the cost of 1 CD and 1 cassette.
Please help A.S.A.P.

Answers

Answer:

CD = 10$

Cassette = 1$

Step-by-step explanation:

ok, time to use some variables

C = CD

S = Cassette

2c + 5s = 25$

1c + 15s = 25$

the second equation has 1 less CD and 10 more Cassettes, therefore 1c = 10s

Now we can calculate how many Cassettes we can buy

1c - 1c = 0c

15s + 10s = 25s

This means that 25s = 25$

therefore 1s = 1$

since we know that 10s = 1c, and 1s = 1$, then we can figure out how many dollars the CD is

1c = 10s = 10$

1c = 10$

Variables are helpful :)

12. A coin collector has 85 coins in dimes and
quarters with a total value of $16.15. How
many of each type of coin does she have?
A. 25 dimes, 60 quarters
B. 34 dimes, 51 quarters
C. 42 dimes, 43 quarters
D. 60 dimes, 25 quarters

Answers

Answer:

c

Step-by-step explanation:

a. 25 x 10 = 250, 60 x 25 = 1500, 250 + 1500 = 1750 = $17.50

a. no

b. 34 x 10 = 340, 51 x 25 = 1275, 1275 + 340 = 1615 = $16.15

b. yes

c. 42 x 10 = 420, 43 x 25= 1075, 1075 + 420 = 1495 = $ 14.95

c. no

d. 60 x 10 = 600, 25 x 25 = 625, 625 + 600 = 1225 = $12.25

d. no

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