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notsponge [240]
3 years ago
5

Superman needs to save Lois from the clutches of Lex Luthor. After flying for 6 seconds, he is 2430 meters from her. Then at 12

seconds he is 2160 meters from her.
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

2700.

Step-by-step explanation:

The total distance would be 2700.

Distance traveled between in 6th second and 12th second is 2430-2160=270 meter. That means Superman covered 270 meter in 6 seconds.

So, now if he is moving at the same speed, he should cover the same distance in first 6 seconds which is 270 meter.

Suppose the whole distance is X when time is 0, and after flying for 6 seconds he now is 2430 meter away. It means that he must have covered the distance of X-2430=270.

Finding for X, we gets the full initial distance, when time was 0.

The simple trick is, once we get the distance he has covered in 6 seconds, we can form the equation like subtracting the whole distance- remaining distance equals to covered distance.

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the sum of two numbers is 123. when the larger number is added to 5 times the smaller, the sum is 343. find the numbers.​
vovikov84 [41]
Create a system of equations
x + y = 123
5x + y = 343

I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55

Plug in
x + y = 123
55 + y = 123
y = 68

Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343
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