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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.

You might be interested in
What is 7 1/3 + 5 4/5
Alecsey [184]

Answer:

1.5333333

Step-by-step explanation:

7 1/3 + 5 4/5 = 23/15 =1 8/15 =1.53

4 0
2 years ago
I need please help. thank you
Travka [436]

15. She bought:

3 jeans, $20 each

1 pants, $18

You find the total: 3(20) + 1(18) = $78 then you apply the discount

Since this is between 50-100, you use the 38% discount (decimal form: 0.38)

38% is being subtracted from your total, so you can do this:

100% - 38% = 62%      This is your total after the discount

78(0.62) = 48.36   Your answer is C

16. D   Income is the $ you make from your job

17. A    Budgeting helps you organize and limit your spending and meet financial goals

18. C    Liabilities impacts you negatively, since you have debts to pay off

19. A    

7 0
3 years ago
What is z if -1/3+2z=-5/6?
Wittaler [7]
-1/3+2z=-5/6
-2/6+2z=-5/6
Add 2/6 to both sides:
2z=-3/6
2z=-1/2
Divide both sides by 2
z=-1/4

Hope this helps :)
7 0
3 years ago
A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio
Klio2033 [76]

Answer:

  • k = 0.032
  • P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

  P(t)=P_0\cdot e^{kt}

We know from the given points that we can write the equation as ...

  P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t

Comparing this to the desired form, we see that ...

  P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693

So, the approximate equation for P is ...

  P(t)=131.836\cdote^{0.032t}

And the parameters of interest are ...

  • k = 0.032
  • P0 = 131.836
4 0
3 years ago
If the length of JK is 3x and the length of LM is 12x and the length of the entire line JM is 25x , find the length of KL.
Leona [35]

Answer:

10x.

Step-by-step explanation:

It is given that,

JK = 3x

LM = 12x

JM = 25x

Let as consider the line as shown in the below figure.

From the figure it is clear that,

JK+KL+LM=JM

3x+KL+12x=25x

KL+15x=25x

KL=25x-15x

KL=10x

Therefore, the length of KL is 10x.

6 0
3 years ago
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