1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Irina-Kira [14]
2 years ago
11

A map maker has created a new map of North America. The map has a length of 30 inches and a width of 24 inches and a scale of 1

inch = 200 miles. After creating the map, he sent it to the printing company. The printing company plans to make several scaled versions of the map. Since each size will have its own scale, they made a mock-up of each version and sent them to the map maker to get his final approval before they start printing.
Match the correct map dimensions to its correct scale, if shown.

1 inch = 300 miles
1 inch = 50 miles
1 inch = 600 miles
1 inch = 100 miles
scale not shown
1 inch = 400 miles
Map 1:
width of 12 inches

arrowRight
Map 2:
length of 20 inches

arrowRight
Map 3:
area of 80 square inches

arrowRight
Map 4:
width of 4 inches

arrowRight
Map 5:
length of 60 inches
Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

Answer:

Map 1:

Width of 12 inches → 1 inch = 400 miles ⇒ 6th

Map 2:

Length of 20 inches → 1 inch = 300 miles ⇒ 1st

Map 3:

Area of 80 inches → 1 inch = 600 miles ⇒ 3rd

Map 4:

Scale not shown ⇒ 5th

Map 5:

Length of 60 inches → 1 inch = 100 miles ⇒ 4th

Step-by-step explanation:

The map scale is:

1 inch = 200 miles

The dimensions of the map are:

length of 30 inches and width of 24 inches

→ 1    :  200

→ 24 :  x

→ 30 :  y

By using cross multiplication

∴ x = 4800 ⇒ actual width

∴ y = 6000 ⇒ actual length

<em>Let us take the dimension in each map to find its scale</em>

Map 1:

∵ Width of 12 inches

→ 1    :  m

→ 12  :  4800

By using cross multiplication

∴ 12 m = 4800

- Divide both sides by 12

∴ m = 400

∴ The scale of the map is 1 : 400

Map 1:

Width of 12 inches → 1 inch = 400 miles

Map 2:

∵ length of 20 inches

→ 1     :  n

→ 20  :  6000

By using cross multiplication

∴ 20 n = 6000

- Divide both sides by 20

∴ n = 300

∴ The scale of the map is 1 : 300

Map 2:

Length of 20 inches → 1 inch = 300 miles

Map 3:

∵ Area of 80 inches²

∵ Area of the original map = 24 × 30 = 720 inches²

→ (1 inch)²  :  (1 mile)²

→  1²           :  200²

→  720       :  q

By using cross multiplication

∴ q = 28800000

Let us find the scale

→  1²           :  p²

→  80         :  28800000

By using cross multiplication

∴ 80 p² = 28800000

- Divide both sides by 80

∴ p² = 360000

- Take √ for both sides

∴ P = 600

∴ The scale of the map is 1 : 600

Map 3:

Area of 80 inches → 1 inch = 600 miles

Map 4:

∵ Width of 4 inches

→ 1    :  f

→ 4  :  4800

By using cross multiplication

∴ 4 f = 4800

- Divide both sides by 4

∴ f = 1200

∴ The scale of the map is 1 : 1200

Map 4:

Width of 4 inches → 1 inch = 1200 miles ⇒ scale not shown

Map 5:

∵ length of 60 inches

→ 1     :  g

→ 60  :  6000

By using cross multiplication

∴ 60 g = 6000

- Divide both sides by 60

∴ g = 100

∴ The scale of the map is 1 : 100

Map 5:

Length of 60 inches → 1 inch = 100 miles

You might be interested in
Pls help me with this!!!!!!!!!​
docker41 [41]

Answer:

i say it is the option A

hope this helps

6 0
2 years ago
The moon is about 240,000 miles from Earth. What is the distance written as a whole number multiplied by a power of ten?
iVinArrow [24]
I think it equals 2,40,000
4 0
3 years ago
How much degrees is each interior angle of a octagon
umka21 [38]
Hello.

The answer is 180 degrees.

all the lines and angels are the same size and has perfect symmetry.

so all are 180.

Have a nice day
4 0
3 years ago
Read 2 more answers
Here are the temperatures of a glass of warm water after it's put in a freezer please help
zavuch27 [327]

Answer:

C(t)= 80 · (0.9)^t

Step-by-step explanation: Its the correct one on khan academy

7 0
2 years ago
Jason wears a size 10 shoe, Donal wears a size 9, and Mishka wears a size 11. What is their average shoe size?
olya-2409 [2.1K]
9 bc you can add all the numbers together then divide that by the total amount of numbers there were
7 0
2 years ago
Read 2 more answers
Other questions:
  • Help me with math please, really urgent!
    12·1 answer
  • Which is another way to name angle ust
    13·2 answers
  • Let f(x)=6−2+2e−0.3x . What is f(−4) ?
    5·2 answers
  • The product of three consecutive odd numbers is 6,783.<br> What are the numbers?
    8·1 answer
  • How do I solve -6/5-2/3v+4/15+1/3v
    12·2 answers
  • PLEASE ANSWER
    13·1 answer
  • Determine if Ordered pairs are Solutions:<br> -8x - 14y = 28<br> 2x - 7y = 14
    9·1 answer
  • . Suppose lines
    13·1 answer
  • PLEASE HELP ME WITH THIS
    10·1 answer
  • PLS HELP NEED THIS ASAP
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!