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In-s [12.5K]
2 years ago
8

A map has a scale of 1 cm to 14 km.

Mathematics
1 answer:
Alenkinab [10]2 years ago
6 0

Answer:

Real distance between Manchester and London = 263.2 km

Step-by-step explanation:

Given that:

A map has a scale of 1 cm = 14 km

Ratio = 1 : 14

Distance from Manchester to London = 18.8 cm

Let,

x be the real distance between Manchester and London.

Ratio = 18.8 : x

As the relationship is proportional,

1 : 14 :: 18.8 : x

Product of mean = Product of extreme

14*18.8 = x

x = 263.2 kilometers

Hence,

Real distance between Manchester and London = 263.2 km

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ozzi
12 horses and 8 cows is 12:8, if divided in half its 6:4 or if you need ratio out of 100 it's 60:40
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3 years ago
Does anyone know the answer to this question.....0.5x + 1.75 = 10
marysya [2.9K]

Answer:

x = 16.5

Step-by-step explanation:

0.5x + 1.75 = 10

Subtract 1.75 from both sides:

0.5x = 8.25

Divide both sides by 0.5

x = 16.5

Check your work!

0.5(16.5) + 1.75 = 10

8.25 + 1.75 = 10

10 = 10

x = 16.5

3 0
3 years ago
one tamk of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of
Zarrin [17]

Answer:

20 gallons were used from the tank with the octane rating of 80.

Step-by-step explanation:

Given : One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120.

To find : How many gallons should be used from the tank with the octane rating of 80?

Solution : Let x be the volume of gas whose octane rating is 140 and

y be the volume of gas whose octane rating is 80.

Then, we form the equation as:

(1) x\times140 + y\times80 = 60\times120

140x+80y = 7200

or  7x+4y = 360 .........[3]

(2) x + y = 60

Now multiply equation (2) by 4  

4x + 4y = 240 ...........[4]

Subtract (4) from (3)  

7x+4y-4x-4y=360-240

3x=120

x=\frac{120}{3}

x=40

Put x in equation [4] we get,

4(40) + 4y = 240

160 + 4y = 240

4y = 80

y=\frac{80}{4}

y=20

Therefore, x=40 and y=20

So, 20 gallons were used from the tank with the octane rating of 80.






7 0
3 years ago
PLEASE HELP ASAP!!! (Directions: Find the surface area of the prism) #5.
topjm [15]
SA= bh+2ls+lw
SA= 26*10 +40*26(2)+40*10
SA=260+1040(2)+400
SA=260+2080+400
SA=2740
5 0
2 years ago
PLEASE I NEED HELP WITH BOTTOM PART WILL MARK BRAINLIEST!!
kipiarov [429]

Answer:

13.

parallel: y = 1/3x -3

perpendicular: y = -3x - 3

14.

parallel: y = 4x - 1/2

perpendicular: y = -1/4x - 1/2

15.

parallel: y = -2x + 4

perpendicular: y= 1/2x + 4

16.

parallel: y = -2x-2

perpendicular: y= 1/2x-2

17.

parallel: y = -2x+8

perpendicular: y= 1/2x + 8

Step-by-step explanation:

A perpendicular has a negative reciprocal slope and a parallel has the same slope

6 0
2 years ago
Read 2 more answers
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