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ivanzaharov [21]

3 years ago

9

40. Mike has two electric train sets: A and B. Each train is on its own circular track.

1 answer:

JulsSmile [24]3 years ago

5 0

"He starts both trains at the same time. Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds". Basically, what you need to do is find the least common multiple. The least common multiple of 12 and 9 is 36, so the least amount of time, in seconds, that both trains will arrive at the starting points at the same time is 36 seconds.

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J/2--12=15 <br> j/2 is a fraction

Natasha_Volkova [10]

Answer:

j = 54

Step-by-step explanation:

j/2 - 12 = 15

j/2 = 15 +12

j/2 *2 = 27 * 2

j = 54

If you're kind enough, please mark this as the brainlist answer!

3 0

3 years ago

um aluno tinha uma quantidade de questoes para resolver se ja resolveu a quinta parte da sua tarefa então a razão entre o numero

DochEvi [55]

Answer:

can you please simplify that in English?

4 0

3 years ago

Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr

Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, $A(10) = 0.7278A(0)$ . We use this to find k.

$A(t) = A(0)e^{-kt}$

$0.7278A(0) = A(0)e^{-10k}$

$e^{-10k} = 0.7278$

$\ln{e^{-10k}} = \ln{0.7278}$

$-10k = \ln{0.7278}$

$k = -\frac{\ln{0.7278}}{10}$

$k = 0.03177289938
$

Then

$A(t) = A(0)e^{-0.03177289938t}$

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

$A(5) = A(0)e^{-0.03177289938*5}$

$A(5) = 0.8531$

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

7 0

3 years ago

Write the sentence as an equation, 341 is the same as 19 divided by b

Serhud [2]

Answer:

19/b =341

Step-by-step explanation:

Division in algebra is shown in fractions so if you put 19 over b it means 19 divided by b.

8 0

2 years ago

Read 2 more answers

-4 1/2 divided by - 2 2/3 as a mixed number

podryga [215]

Answer:

Exact Answer is 27/16

Decimal form: 1.6875

Mixed fraction 1 11/16 I assume that's what you need.

Step-by-step explanation:

27/16

Divide 27 by 16:

1 | 6 | 2 | 7

16 goes into 27 at most one time:

| | | 1

1 | 6 | 2 | 7

| - | 1 | 6

| | 1 | 1

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | 1 | (quotient)

1 | 6 | 2 | 7 |

| - | 1 | 6 |

| | 1 | 1 | (remainder)

The quotient of 27/16 is 1 with remainder 11, so:

Answer: 1 11/16

5 0

3 years ago