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3 years ago

7

An "A" train leaves a subway station every 12 minutes. An "E" train leaves every 9 minutes. If both trains just left the station

on parallel tracks, when will both leave the station together again?
A. 108 minutes
B. 36 minutes
C. 72 minutes
D. 24 minutes

2 answers:

nexus9112 [7]3 years ago

7 0

It would be B. 36 minutes.

Alenkinab [10]3 years ago

5 0

<span>A. 108 minutes hope i helped

</span>

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3 years ago

Write -3i + (3/4+2i) - (9/3+3i) as a complex number in standard form

bogdanovich [222]

Answer:

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3 years ago

Use matrices and elementary row to solve the following system:

LiRa [457]

I assume the first equation is supposed to be

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and not

$5x-3x+2x=4x=13$

As an augmented matrix, this system is given by

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\4&-2&4&12\end{array}\right]$

Multiply through row 3 by 1/2:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\2&-1&2&6\end{array}\right]$

Add -1(row 2) to row 3:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&5&5\end{array}\right]$

Multiply through row 3 by 1/5:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&1&1\end{array}\right]$

Add -2(row 3) to row 1, and add 3(row 3) to row 2:

$\left[\begin{array}{ccc|c}5&-3&0&11\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Add -3(row 2) to row 1:

$\left[\begin{array}{ccc|c}-1&0&0&-1\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Multiply through row 1 by -1:

$\left[\begin{array}{ccc|c}1&0&0&1\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Add -2(row 1) to row 2:

$\left[\begin{array}{ccc|c}1&0&0&1\\0&-1&0&2\\0&0&1&1\end{array}\right]$

Multipy through row 2 by -1:

$\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-2\\0&0&1&1\end{array}\right]$

The solution to the system is then

$\boxed{x=1,y=-2,z=1}$

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3 years ago

The print on the package of -watt General Electric soft-white light-bulbs says that these bulbs have an average life of hours. A

Naddika [18.5K]

Answer:

Hi your question is incomplete attached below is the complete question

answer : p ( X < 725 ) = 0.0116

Step-by-step explanation:

Given data:

Average life of bulbs (μ ) = 750 hours

standard deviation (б ) = 55 hours

n ( sample size ) = 25

X = 725

<u>Probability that the mean life of a random sample of 25 bulbs will be less than725 hours </u>

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= P ( Z > - 2.27 )

Hence P ( X < 725 ) = 0.0116 ( using Z-table )

3 0

3 years ago

If f(x)=4x-2 and g(x)=-8x+7, find h(x)=f(x) - g(x)

user100 [1]

Answer:

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Step-by-step explanation:

We are given the two functions:

$f(x)=4x-2\text{ and } g(x)=-8x+7$

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$h(x)=f(x)-g(x)$

So, by substitution:

$h(x)=(4x-2)-(-8x+7)$

Simplify. Distribute:

$h(x)=(4x-2)+(8x-7)$

Rearrange:

$h(x)=(4x+8x)+(-2-7)$

Combine like terms. Hence:

$h(x)=12x-9$

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2 years ago