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erica [24]
3 years ago
9

The scale on a map shows that 1 cm equals 10km if the distance between 2 cities on the map is 4.5 cm how far is the actual dista

nce
Mathematics
1 answer:
ikadub [295]3 years ago
4 0

Answer:

45 km

Step-by-step explanation:

Let's review the scale factor of this problem.

1 cm = 10 km

This means that for every 1 cm of distance on the map, 10 km is represented in the real world. Because of this, we know that dividing the actual distance by 10 will give us the distance on the map.

Ex. 40 km in real world = 4 cm on map

So, we will use d to represent the actual distance.

d=distance in real world

Then, we will divide d by 10 and set it equal to 4.5, because that's the distance on the map.

d/10 = 4.5

Now to solve this equation, we just have to multiply both sides by 10.

d=45

This is your answer.

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2. The difference of two numbers is 3. Their sum is 13. What are the two numbers?
kkurt [141]

Answer:

The two numbers are x = 8 and y = 5

Step-by-step explanation:

Let the two numbers be x and y

The difference of two numbers is 3 is represented as:

x - y = 3------------------Equation 1

Their sum is 13 is represented as:

x + y = 13----------------Equation 2

x - y = 3------------------Equation 1

Using method of Elimination by subtracting Equation 1 from Equation 2

x-x + y-(-y) = 13 - 3

2y = 10

y = 10/2

y = 5

Substituting y = 5 in Equation 2

x + 5 = 13

x = 13 - 5

x = 8

∴ The two numbers are x = 8 and y = 5

8 0
3 years ago
Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
miv72 [106K]
The answer is -1/3

The slope m is:
m = (y2 - y1) / (x2 - x1)
(x1, y1) = (-2, 2)
(x2, y2) = (4, 0)

m = (0 - 2) / (4 - (-2)) = -2 / 6 = -1/3
6 0
3 years ago
S, U, N are collinear. What point is between the other two if NU = 1, SU = 2, SN = 3? NU + US = NS.
tigry1 [53]
U is between N and S.
The order of the letters does not matter, thus:
NU = 1 and US = 2 so NS = 3.
This is only possible if NU + US = NS
Proving U is between N and S.
6 0
3 years ago
Please please please help
irga5000 [103]

3x+x= 180°(straight angle)

4x= 180°

x= 180/4

x= 45°

5 0
3 years ago
Read 2 more answers
Jason drove 1,080 miles in 20 hours. What was his speed in miles per hour?
Artemon [7]

the awnser is c 10 miles per hour

7 0
3 years ago
Read 2 more answers
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