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3 years ago

The scale of a map is given as 1 : 20000000. Two cities are 6 cm apart on the map. Find the actual distance between them.

Mathematics

1 answer:

larisa [96]3 years ago

5 0

Answer:

<em>The actual distance between the cities is 1,200 Km</em>

Step-by-step explanation:

<u>Scaling </u>

Objects can be represented in a reduced or augmented size by using scaling which is multiplying or dividing real dimensions by a constant factor. We use scaling when representing geographic locations on a map.

We are given the scale on a map as 1:20,000,000.

Two cities are 6 cm on the map. The actual distance is obtained by multiplying:

6 * 20,000,000 = 120,000,000 cm

Divide by 100 to convert to meters and by 1,000 to convert to km 120,000,000/100/1,000=1,200 Km

The actual distance between the cities is 1,200 Km

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In mrs.smiths class every time you turn in 10 assignments you earn 1 homework pass.Write 3 equivalent ratios if turned in assign

frutty [35]

Answer:

Step-by-step explanation:

For every 10 assignments you get 1 homework pass. So you would multiply them by two and up more.

So here's some of your answers:

10:1

20:2

30:3

40:4

50:5

60:6

70:7

80:8

90:9

100:10

You would just continue this pattern.

8 0

2 years ago

(50 points worth ) A rectangular prism fish tank a length of 5 1/2 in., a width of 7 in., and a height of 2 1/2 in. Use this to

densk [106]

A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
By definition we have that the volume of a rectangular prism is given by:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height
We then have to replace the values:
V = (7) * (5.5) * (2.5)
V = 96.25 in ^ 3
Equivalently:
V = 96 1/4 in ^ 3

B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.

No, this fish tank could not hold 100 in³ of water.
This is because the prism volume (part A) is less than 100 in ^ 3.
In other words;
96 1/4 in ^ 3 <100 in ^ 3

4 0

3 years ago

Can someone help me and explain it to me

Alex_Xolod [135]

Answer:

1) 6

2)4

3)27

4)126

5)15

Step-by-step explanation:

1. We need to see how many 8-miles are in 24 miles, than multiple it with 2in.

(24/8)*2=3*2=6in

2. Fist we calcue how many 17-feets are in 68feets, and multiple that with 1in.

(68/17)*1=4

3. We first see how many 3ins are in 9ins, and than multiple that with 9feet

(9/3)*9=3*9=27

4. First see how many 2ins are in 36ins, and then multiple it with 7.

(36/2)*7=18*7=126feet

5. See how many 15fts are in 75ft And than multiple it with 3.

(75/15)*3=5*3=15

4 0

3 years ago

Read 2 more answers

What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?

adoni [48]

Combine like-terms
-2.1x and 4.9x = 2.8x
3.7 and 5 = 8.7
2.8x + 8.7 is your final answer.

3 0

3 years ago

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Write an expression for the sequence of operations. Add 3 to x, double what you have, then subtract 1 from the result

galina1969 [7]

Answer:

[2(x+3)]-1

Step-by-step explanation:

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3 years ago