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Mamont248 [21]
3 years ago
10

The actual distance between two villages is 120 km. On a map of the area, 0.5 cm represents 2 km. What is the actual distance be

tween the villages on the map?
Mathematics
2 answers:
Oduvanchick [21]3 years ago
8 0
On the map, the distance between the villages is 30 cm.
Since .5 cm represents 2 km, each cm on the map represents 4 km in actual distance, so to find the distance on the map, you divide 120 by 4 and you get 30. 
An alternative way to think of it is to set up a proportion. 
First, you would do .5/2 equals x/120
Next, you would cross multiply and get 2x equals 60
Then, you would solve and get x equals 30 
Your answer is 30 cm
otez555 [7]3 years ago
6 0
If .5cm is 2km, then 1 cm is 4 km, and therefore 120/4 is 30, so 30 centimeters on the map
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Which ordered pair represents the reflection of the
zaharov [31]

Answer:

I don't understand the question

5 0
3 years ago
Plz put the work clearly plzz I really need these
Dmitrij [34]

Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

8 0
3 years ago
Each packet of the cooking oil weighs 2/5th of a kilogram and one kilogram of the cooking oil costs $6.5. Sara went to the groce
Reika [66]

Answer:

C) $20.80

Step-by-step explanation:

1 kg of cooking oil = $6.5

1 packet of cooking oil =2/5 kg

If 1 kg of cooking oil = $6.5

2/5kg of cooking oil = $X

Cross Multiply

1kg × $X = 2/5kg × $6.5

$X = 13/5

$X = 2.6

Hence 2/5kg of oil cost $2.6

Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6

The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:

1 packet of oil = $2.6

8 packets of oil =

$2.5 × 8

= $20.80

Therefore,if Sara bought 8 packets of oil, the amount she would spend = $20.80

7 0
3 years ago
Help need the answer quick
Shalnov [3]

Answer:

1A

2H

3D

4C

5G

6E hope this helps

6 0
3 years ago
2. Sam has two part-time jobs, delivering pizza and mowing lawns. He makes $9/hr delivering pizza and $7/hr mowing lawns. Last w
frutty [35]

Answer:

<h2>22 hours and 10 hours </h2>

Step-by-step explanation:

let the jobs be x and y, so that

x+y=32--------1

9x+7y=248----2

x=32-y

substitute x=32-y for x in equation 2 we have

9(32-y)+7y=248

open bracket we have

288-9y+7y=248

-2y=248-288

-2y=-40

2y=40

divide both sides by 2 we have

y=40/2

y= 10 hours

subtitute y=10 for y in equation 1 to find x

x+10=32--------1

x=32-10

x=22

x=22 hours

4 0
3 years ago
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