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

You run the same speed every day. Saturday you ran 4 miles in 32 minutes. On Sunday you ran 3 miles in m minutes.
36 minutes
12 minutes
28 minutes
24 minutes

Answers

Answer: 24 minutes, all you have to do is 4/32 which equals 8 then you do 3x8 which equals 24 :)

Step-by-step explanation:

4 miles =32

3 miles=m

32×3=4m

96=4m

m=96/4

=24

Let x denote the number of broken pencils in a randomly selected 50-count box from a local office supply store. The variable x has the
following probability distribution:


a)
0.82; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.82 from the
mean
b)
0.31; if we were to select many boxes of pencils randomly, we would expect about 0.31, on average, to contain broken pencils
c)
0.65; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.65 from the
mean
d)
0.52; if we were to select many boxes of pencils randomly, we would expect about 0.52 to have no broken pencils
e)0.13; if we were to select many boxes of pencils randomly, we would expect about 0.13, on average, to contain broken pencils

Answers

Answer:

0.82

Step-by-step explanation:

I literally took the test

PLEASE help i have tried to do this many times but still don’t understand

Answers

Answer:

33 is the correct answer

HELP HELP HELP POINTS GIVEN

Answers

Answer:

the third one

Step-by-step explanation:

you cannot add the hypotenuse with anything else to equal a leg if that makes sense

A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if it has a $1,000 base fee plus $5 per question and $2 per person surveyed?

Answers

Answer:

Total cost to conduct survey = $2075

Step-by-step explanation:

Given that:

Number of questions on survey = 15

Number of people = 500

Base fee = $1000

Per question charge = $5

Per person surveyed = $2

Let,

q be the number of questions

p be the number of people

Total cost = Base fee + 5q + 2p

Total cost = 1000 + 5(15) + 2(500)

Total cost = 1000 + 75 + 1000

Total cost = $2075

Hence,

Total cost to conduct survey = $2075

evaluate 1/6t + 5/18 when t = 1/3

1/6(__)+5/18=_/_+5/18​

Answers

Answer:

[tex] \frac{1}{6} t + \frac{5}{18} \\ (\frac{1}{6} \times \frac{1}{3} ) + \frac{5}{18} \\ \frac{1}{18} + \frac{5}{18} = \frac{(1 + 5)}{18} \\ \frac{6}{18} = \frac{1}{3} [/tex]

1/3 is the right value of the given equation.

Pls help me with this question.

Answers

Answer:

x=1

Step-by-step explanation:

[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]

[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]

[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]

[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]

hope it helps:)

Start by expanding the numerator.

5x+30-30+15x / 3x-1 = 10

Simplify.

20x / 3x-1 = 10

Multiply both sides by the denominator.

20x = 30x-10

Divide both sides by 20.

x = 3/2-1/2

Subtract the fractions.

x = 1

Edith leaves her home at 11:50 am.
She travels 75 miles at an average speed of 30 mph.
At what time does she finish the journey.

Answers

Answer:

2:30 minutes her journey finish.

distance / speed = time

75 / 30 = 2.5 hours :

it means  2:20 pm they finish her journey

Step-by-step explanation:

Brainliest?

Answer:

2:20 pm

Step-by-step explanation:

30 mph=1 mile every 2 minutes

75 miles x 2 =150 minutes or 2 hours and 30 minutes

11:50 am + 2 hours and 30 minutes = 2:20 pm

Evaluate y=−4x+3, for x=4.

Answers

Answer:

y = -13

Step-by-step explanation:

Given

x = 4

y = - 4 * 4 + 3

= - 16 + 3

= - 13

Hope it will help :)

SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU

Answers

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

Sara sold 461 tickets for a school play. Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.How many adult tickets and how many student tickets did Sara sell?

Answers

Answer:

220 student and 241 adults

Step-by-step explanation:

x+y=461

3x+4y=1624

y=-x+461-----> 3x+4(-x+461)=1624

                              -x+1844=1624

                             +x  -1624

                                   x=220

3(220)+4y=1624

660+4y=1624

4y=964

y=241

There are 241 adult tickets and 220 student tickets did Sara sell.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sara sold 461 tickets for a school play.

And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.

Let number of adult tickets = x

And, Number of student tickets = y

Hence, We get;

⇒ x + y = 461  .. (i)

And, 4x + 3y = 1624 .. (i)

Multiply by 3 in (i);

⇒ 3x + 3y = 1383  .. (iii)

Subtract form (ii);

⇒ x = 241

And, From (i);

⇒ x + y = 461

⇒ 241 + y = 461

⇒ y = 461 - 241

⇒ y = 220

Thus, There are 241 adult tickets and 220 student tickets did Sara sell.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

I need help with Geometry

Answers

9514 1404 393

Answer:

  (5, 1)

Step-by-step explanation:

Reflection across the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

Rotation 90° CCW is the transformation ...

  (x, y) ⇒ (-y, x) . . . . rotation 90° CCW

The two transformations together give ...

  (x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW

For point B, this gives ...

  B(1, 5) ⇒ B'(5, 1)

I will mark brainliest thanks

Answers

-7, -2. It is the same y but opposite x

Answer:

B

Step-by-step explanation: it All Becomes Negative if it is Reflected

Mr.Klein's class is selling candy for a fundraiser. The class has a goal of raising $450 for selling (c) boxes of candy. Each box of candy costs $3.75.​

Answers

Answer:

so since their goal is to get $450 and each candy box is $3.75, what you do is  divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.

Step- by-step explanation:

Bryan and Yuan started out at their houses and are biking towards each other. Bryan started
out first, and has already gone 5 miles. He bikes at a constant speed of 3 miles per hour.
Yuan just left, and rides at 4 miles per hour. When the boys meet halfway between their
houses, they will continue to the park together. How long will that take? How far will each
boy have ridden?

Answers

Answer:

Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Step-by-step explanation:

Given that Bryan and Yuan left their homes at different periods of time and at different speeds, to determine how long they will meet and how much distance they will have traveled, the following calculation must be performed:

B = 5 + (3X)

Y = 4X

B = 5 + 3x2 = 11

Y = 4x2 = 8

B = 5 + 3x3 = 14

Y = 4x3 = 12

B = 5 + 3x4 = 17

Y = 4x4 = 16

B = 5 + 3x5 = 20

Y = 4x5 = 20

Therefore, Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

the post for Nancy's gazebo form a regular hexagon what is the measure of the angle formed at Each corner of the gazebo ​

Answers

Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

A bag contains 3 red marbles and 5 blue marbles.
Find the probability of drawing a blue marble,
keeping it, and drawing another blue marble. Write
the probability as a fraction in simplest form.

Answers

The probability would be 5/16 for selecting a blue marble twice without putting it back.

6 boy students make up 24% of the total class how many total students are in class

Answers

Answer:

There are 25 students in the class.

Step-by-step explanation:

1. Set up an equation. The equation would be 6 = 24/100x.

2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.

Answer:

25 students

Step-by-step explanation:

25 x 0.24 = 6

What it 12/14<9=
I really need help on this :

Answers

Answer:

This isn't a real question... but i can explain what you gave. 12/14 is less than 1, so it is less than 9.

I need help in this

Answers

Answer:

x = 4

Step-by-step explanation:

Since the rectangles are similar, use a ratio.

15/6 = 10/x

or

6/15 = x/10

I will use 15/6 = 10/x to solve this problem, but both ratios should work to solve this problem.

15/6 = 10/x

Cross Multiply:

6(10) = 15x

Solve:

60 = 15x

x = 4

Evaluate the expression when a = 17 and c = 7.
²
a+c
a-2c

Answers

A+c
17+7=24
a-2c
17-2(7)=3

Answer:

Step-by-step explanation:

a + c = 17 + 7 = 24.

a - 2c = 17 - 2(7) = 3.

Using the formula Distance = rate . time, find the distance covered by an airplane flying at 300 mph for 3 hours.

Answers

900. If your formula is correct, you only have to multiply 300 by 3

I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)

Answers

Convert to slope intercept form and then find equation that will have a negative reciprocal of the slope

Answers is A

Which number is not a factor of 12 and a multiple of 6

Answers

42 is the correct answer

Answer:

ummmm 5 ..............

find the value of x.

Answers

Answer:

X= 20 degrees

Step-by-step explanation:

Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:

(3x)3= 180

9x= 180

X =20

if g(x) =x -7, what if the value of x when g(x) =6

Answers

Answer:

x=13

Step-by-step explanation:

1. Place 6 in

6=x-7

2. Evaluate

x=6+7

x=13

Help pleasee! Thank uu

Answers

Answer:

The answer is the 2nd option

Step-by-step explanation:

..................the y intercept

What is this answer?

Answers

Answer:

The answer is (-1,-10)

hope this helps

Step-by-step explanation:

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

Answer:

D. (-1, -10)

Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!

PLEASE ANSWER I NEED HELP


Kayla gets paid $15 to rake the lawn. Kayla gets paid 3 times as
much to rake the lawn as she does to mow the lawn. How much
does Kayla get paid to mow the lawn?

Answers

Answer:

$5

Step-by-step explanation:

The opposite of multiplication is division.

$15/Raking = 3 times more pay than mowing the lawn.

Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.

15/3 = 5

Answer:

5

Step-by-step explanation:

What do 5a represent in f(x)=5ax​

Answers

Answer:

[tex]y = mx + c \\ f(x) = 5ax[/tex]

By comparing both the equation we get that,

5a represent a slope in f(x)
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