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irinina [24]
3 years ago
12

Abdi has two electric train sets: A and B. Each train is on its own circular track. He starts both trains at the same time. Trai

n A returns to its starting point every 12 seconds. Train B returns to its starting point every 9 seconds. If the trains continue traveling what is the least amount of time in seconds that both trains will arrive at the starting points at the same time?
Mathematics
2 answers:
Fiesta28 [93]3 years ago
4 0

Answer:

<h2>After 36 seconds.</h2>

Step-by-step explanation:

To find the answer to this problem, we have to sum each period of time for each train, and see where they use the same time. Train A will return each 12 seconds and Train B will return each 9 seconds, this means that we have to build two sequences with this increasing numbers.

A       B

12      9

24     18

36     27

48     36

As you can observe in the sequences, after 36 seconds both trains will arrive at the starting points at the same time. To reach such time equivalence, the train A has to make three laps, and train B hast to make 6 laps.

Therefore, the answer is "after 30 seconds".

mrs_skeptik [129]3 years ago
3 0

Answer: 36 seconds

Step-by-step explanation:

A: 9, 18, 27, 36

B: 12, 24, 36

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he​ half-life for a link on a social network website is 2.6 hours. Write an exponential function T that gives the percentage of
pychu [463]

Answer:

% Remaining= [1-(1/2)^{\frac{t}{2.6}}]x100

And replacing the value t =5.5 hours we got:

% Remaining= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

Step-by-step explanation:

Previous concepts

The half-life is defined "as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not".

Solution to the problem

The half life model is given by the following expression:

A(t) = A_o (1/2)^{\frac{t}{h}}

Where A(t) represent the amount after t hours.

A_o represent the initial amount

t the number of hours

h=2.6 hours the half life

And we want to estimate the % after 5.5 hours. On this case we can begin finding the amount after 5.5 hours like this:

A(5.5) = A_o (1/2)^{\frac{5.5}{2.6}}

Now in order to find the percentage relative to the initial amount w can use the definition of relative change like this:

% Remaining = \frac{|A_o - A_o(1/2)^{\frac{5.5}{2.6}}|}{A_o} x100

We can take common factor A_o and we got:

% Remaining= [1-(1/2)^{\frac{t}{2.6}}]x100

And replacing the value t =5.5 hours we got:

% Remaining = [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

5 0
4 years ago
Add using the number line. ​ −0.5 + (−1.7) ​
Rudik [331]

Answer:

- 0.5 - 1.7 = - 2.2

Step-by-step explanation:

We need to add two numbers using the number line.

Steps to Add Numbers on the Number Line:

When we add a negative numbers that we move the point to the left of the number line.

We are adding two negative numbers. Locate the first number which is -0.5. Then, add negative 1.7 to it which means moving the existing point 1.7 units to the left of the number line.

So, we get 2.2 on the left.

2.2 is left side it means sign is negative.

Final answer is -2.2

3 0
3 years ago
PLEASE HELP!!! 30 POINTS!!! NEED ANSWERS. WILL MARK BRAINIEST. FLAGGING NON RELEVANT ANSWER Follow the directions to convert the
kumpel [21]

Answer:

y-values of sampled wave:

0, 5, 5, -3, -5, -3, 2, 0, 0, -1, -2, 1, 1, -1, -1, -2, 2, 3, -1

Step-by-step explanation:

My teacher told me to put a dot on very cross or intersection that the line is on.

4 0
3 years ago
X/2.4+39=239<br> show work
grin007 [14]

Answer:  x = 480

Steps: x/2.4 + 39 = 239

Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39

Simplify: x/2.4 = 200

Multiply both sides by 2.4: x/2.4  ×  2.4 = 200 ×  2.4

Simplify: x = 480

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3 0
3 years ago
Please help it’s tomorrow at 10 am
Neporo4naja [7]

Step-by-step explanation:

Perimeter of swimming pool = 2(l + w)

2(24 + 12)

2(36)

72

Perimeter of walkway = 2(l + w)

2(4c + 4w) [ Since it is saying all side]

8c + 8w

Expression = 72 + 8c + 8w

8 0
3 years ago
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