A train journey is approximately 150 miles.

How many centimetres will it be on a map with a scale of 30 miles = 1 cm?

Answers

Answer 1
Answer:  5 cm

==========================================================

Explanation:

The jump from 30 miles to 150 miles is "times 5", meaning 30*5 = 150.

So we need to multiply both sides of the equation

30 miles = 1 cm

by 5 and we get

5*(30 miles) = 5*(1 cm)

150 miles = 5 cm

--------------------

Another way to solve:

This involves proportions

Let x be the distance on the paper map that corresponds to 150 miles

(150 miles)/(x cm) = (30 miles)/(1 cm)

150/x = 30/1

150*1 = x*30 .... cross multiply

150 = 30x

30x = 150

30x/30 = 150/30 ... divide both sides by 30

x = 5 cm is the distance on the paper map


Related Questions

Calculate the scale factor of ALMN to AOPQ. Enter answer as a whole
number or as a fraction in lowest terms, using the slash mark ( 7 ) for the
fraction bar.

Answers

Step-by-step explanation:

the scale factor is 1

1/1

both triangles are similar and the scale factor is 1/1

....................

Find the area of an equilateral triangle with a perimeter of 24in.

Answers

Answer:

Step-by-step explanation:

[tex]p=24,\ b=\frac{p}{3}=8\\ \\ h=\sqrt{64-16},\ h=\sqrt{48}\\ \\ A=\frac{bh}{2}\\ \\ A=4\sqrt{48}in^2\\ \\ A=16\sqrt{3}in^2\\ \\ A\approx 27.7in^2[/tex]

Write the ratio in simplest form. 2 feet to 20 feet.

Answers

Answer:

1: 10 ❤️❤️❤️❤️❤️❤️❤️❤️

1:10 as you simplify 2 down to 1 and then 20 down to 10

why would it be advantageous to borrow oneself into the sun if you live in an internal zone​

Answers

Answer:

So you would not be carried away by the tides

Step-by-step explanation:

hope this is what u want

Find the weighted mean.
2, 4, 6, 8, 1, 2, 4 and 5.
Round your answer to the nearest tenth.

Answers

Answer:

3

Step-by-step explanation:

To find the mean add them up and divide by # of sets

soit =24 ÷8=3

1) Find all the critical numbers of the given function

f(x) = X 1 - 4
-
3

Answers

Answer:

(0,-4)

Step-by-step explanation:

Given

[tex]f(x) = x^\frac{1}{3} - 4[/tex]

Required

Determine the critical numbers

[tex]f(x) = x^\frac{1}{3} - 4[/tex]

Differentiate:

[tex]f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}[/tex]

[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}}[/tex]

Equate to 0

[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]

[tex]\frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]

Multiply through by 3

[tex]3 * \frac{1}{3}x^{-\frac{2}{3}} = 0*3[/tex]

[tex]x^{-\frac{2}{3}} = 0[/tex]

[tex]x = 0[/tex]

Substitute 0 for x in [tex]f(x) = x^\frac{1}{3} - 4[/tex]

[tex]f(0) = 0^\frac{1}{3} - 4[/tex]

[tex]f(0) = 0- 4[/tex]

[tex]f(0) = - 4[/tex]

Hence, the critical point is: (0,-4)

— 3х – 19 <-18
What is x

Answers

Answer:

x>-1/3

Step-by-step explanation:

−3x<−18+19

−3x<1

x>− 1/3

You work in a grocery store. How many 1/3 pound bags of coffee can you package from a 15 pound box of loose coffee?​

Answers

Answer:

45

Step-by-step explanation:

Since each bag is 1/3 of a pound. That means there are 3 bags that make 1 pound. Therefore 15x3 is 45, so you could make 45 bags of coffee

the answer is 45 lol, hope it helped


1. The sizes of parts sold during one business day in a
department store are 36, 38, 34, 92, 36, 34, 40, 44, 32, 34 . Find the average size of the pants sold. ​

Answers

First, to find an average, we need to add all the numbers together and divide them by how many numbers there are.
36+38+34+92+36+34+40+44+32+34 = 420
420/10 = 42

Average = 42

Here goes the answer. Hope it helps you.

2.1n -5.31 = 18
Question : Find n
Pls Answer !!

Answers

Answer:

n = 11.1

Step-by-step explanation:

2.1n = 18 + 5.31

2.1n = 23.31

n = 23.31 / 2.1

n = 11.1

Hope that helps!!!!

2.1n-5.31=18
+5.31=+5.31
2.1n= 23.31
23.31/2.1 = 11.1
n=11.1

To check answer plug 11.1 in to the spot of n & multiply it by 2.1 then subtract from 5.31 and you should get 18 .

ANSWER PLSSSSSSSSSS
Angles B and C are supplementary. If m∠B = 2x - 40 and m∠C =2x + 20, how would you determine the measure of each angle?

Answers

Answer:

B=60 C=120

Step-by-step explanation:

Supplementary angles add up to 180.

so

2x-40+2×+20=180

4×-20=180

4×=200

×=50

B 2(50)-40=100-40=60

C 2(50)+20=100+20=120

PLS SIMPLIFY THIS ANSWER I NEED HELP!

-2 1/4 x + 3 7/12x -4 2/3

Answers

Answer:

The answer is −13 /6 x−14.

Pls help pls don’t answer if you dont know also I’ll give brainliest

Answers

Answer:

$55.96

Step-by-step explanation:

To find 30% of $79.95, we must multiply 79.95 by .3

We get 23.985, which can be rounded to the nearest 100th to get 23.99

So, 30% of $79.95 is $23.99

Now, we can just subtract to find the sale price.

$79.95 - $23.99 = $55.96

Three hundred new ones cost $2100. what would be the cost of 120 new ones​

Answers

Answer:

840

Step-by-step explanation:

120 is 40% of 300, and 840 is 40% of 2100 is 840.

Answer:

840

Step-by-step explanation:

Madeline drew 24 hearts, 20 stars, and 37 circles. What is the ratio of stars to hearts?​

Answers

Answer:

20:24

Step-by-step explanation:

20 stars

colon is to

24 hearts

Luke has a bag of hay that weighs 14.7 ounces. He wants to divide the hay into 3 equal piles. Luke solves the equation 3w = 14.7. What is the weight of each pile of hay?

Answers

Answer:

4.9 oz.

Step-by-step explanation:

You divide 14.7 by 3 to get 4.9 oz. Hope this helps.

please help does anyone know this

Answers

You Can Make A Foto In The App And Then the app Solve the problem Then you got your answer

please answer, giving brainliest!!

Answers

Answer:

y=5

Step-by-step explanation:

Last year, Anna paid $4,812 for a co-op maintenance fee. One-third of the
covered her property taxes. How much property tax did Anna pay last year? *
$1,640
$1,604
$1,598
$1,728

Answers

$1,604 because if you were to divide 1/3 and $4812 it’s would equal 1604

31. Mark carried 3¼ kg of millet, 4¾ kg of sorghum
and 15kg of maize to the market. He sold
2½kg of millet 2¾kg of sorghum and 10kg of
maize. What was the total mass cereals that
remained?

A. 15¼ kg
B. 23kg
C. 8¼kg
D. 7¾kg

what's the solution to solve it?​

Answers

Answer:

D

Step-by-step explanation:

(3.25+4.75+15) =23

23- (2.5+2.75+10)

= 7.75

Millet: convert 2 1/2 to 4ths, and 3 1/4 to an improper fraction as well

2 1/2 = 5/2 = 10/4
13/4 -10/4 = 3/4 kg of millet left over

Sorghum:
4 3/4 - 2 3/4 = 2 kg of sorghum left over

Maize:
15kg - 10kg = 5kg left over

3/4 + 2 + 5 = 7 3/4 kg total

A group of five friends went out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the same, so they wanted to split the bill evenly. Without considering tip, how much should each friend pay? *

Answers

Answer:

$10.75

Step-by-step explanation:

$53.75 / 5 = $10.75

Answer:

$10.75

Step-by-step explanation:

$53.75 ÷ 5 = $10.75

This is showing the total split amongst the five people. $10.75 is the price that each friend will pay if the bill is split evenly

find the area of the shape

Answers

Answer:

36 ft

Step-by-step explanation:

you have to do length times by your width

6x6=36

Answer:

21,87ft

Step-by-step explanation:

area of square: 6×6=36

circle:

π×r^2

(radius is 3)

π×3×3= 28,26

half of the circle:

28,26÷2=14,13

so green area: 36 - 14,13 = 21,87 ft

Square PQRS has vertices P(-3,0), Q(0,4), R(4,1), and S(1,-3). Determine the area of the square.​

Answers

Answer:

Step-by-step explanation:

length of PQ = √[(0-(-3))²+(4-0)²] = 5

area of square = 5² = 25 units²

Answer:

Step-by-step explanation:

all of them are congruent

Tim has a friend, John, across the world he wants to transfer 1000$ to. However, his bank charges a 0.3% fee on the value of every transfer. Tim wants John to receive 1000$ after the fees, which means that Tim needs to send more than 1000$ for him to cover the fees the bank charges. How much should Tim send so that John receives 1000$ in his account after fees?

Answers

Answer:

1003

Step-by-step explanation:

as Tom has to sent amount of money =

1000 (amount of money that john needs) + 0.3%*1000 (fee) = 1000+ 3 = 1003

Changed 19/4 into a mixed number (fraction).

Answers

Answer:

Step-by-step explanation:

Did you mean: Change 19/4 into a mixed number (fraction).

How do you turn 19/4 into a mixed number?

As an improper fraction. (numerator larger than denominator): 19/4 = 19/4

As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 19/4 = 4 3/4

As a decimal number: 19/4 = 4.75.

As a percentage: 19/4 = 475%

4 and 3/4

16/4 equals 4; then 19/4-16/4 = 3/4, so that's left over.

65+65 This is a question​

Answers

Answer:

130

Step-by-step explanation:

65 + 65 = 130

Answer:

130

Step-by-step explanation:

65+65=130

Hope This Helps!

Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof to prove that consecutive interior angles a and bare supplementary ( 5 points)

Answers

Answer:

See proof below

Step-by-step explanation:

Two angles that are linear pair sums up to 180°

If angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, then;

1+a = 180....1

2+b= 180....2

Taking the sum of both equations

1+2+a+b = 360°... 3

Note that the sum of the adjacent angles will also be 180° since they also lie on the same straight line, hence;

1+2 = 180°...4.

Substitute 4 into 3

From 3;

1+2+a+b = 360°

(1+2)+(a+b) = 360°

180+(a+b) = 360

a+b = 360-180

a+b = 180

Since the sum of a and b is 180°, this shows that angles are supplementary since the sum of 2 supplementary angles is also 180°

Hence this shows that the consecutive interior angles a and bare supplementary.

Answer:

180-35=145 Degrees

Step-by-step explanation:

TBH I may not have a complete understanding; but what I do know is a straight line (or angel if you so chose) is equal to 180 degrees (NOTE: supplementary- angels are when 2 angels that are added up to 180 degrees) and on my part of the question is: "Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof that consecutive interior angles a and b are supplementary".

Now in my whole complete course its asking a bout a ski slope and it gives me the 35 degree angle and we need to figure out the missing angle, we have the same picture as listed above.... knowing that straight lines are 180 degrees I subtracted 180-35 and I got 145 degrees now either i'm right or i'm missing som I did in a few years back but most of my information is basically backed up by some understanding I do know

Is anyone smart enough to answer this correctly?

Answers

Answer:

C. 55 square centimetre

Step-by-step explanation:

Area of the triangle on the top= 1/2 * 2 * 3 cm^2

= 3 cm^2

Area of the rectangle in between= 8 * 2 cm^2

= 16 cm^2

Area of the parallelogram at the bottom

= 12 * 3 cm^2

= 36 cm^2

Therefore, Area of the figure

= (3+16+36) cm^3

= 55cm^2

Hope you got the answer ☺️

The photo of the question is there.​

Answers

Didn’t get the full problem, what is z equal to?
what does z equal? 5y = 20, so just multiply 7 by z and add 20

Plz help asap its due in 40 mins ​

Answers

Answer:

b

Step-by-step explanation:

yes its right

Answer:

1) x=11

2)x=9

3)pr=21

4)fe=68

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