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balandron [24]
3 years ago
10

Together two ferries can transport a day's cargo in 7 hours. The larger ferry can transport cargo three times faster than the sm

aller ferry. How long does it take the larger ferry to transport a day's cargo working alone?
Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer:

9 hours, 20 minutes

Step-by-step explanation:

When two ferries work together, they transport a day's cargo in 7 hours

The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1

The sum of the ratio = 4 (3 + 1)

This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.

Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.

9.33 hours = 9 hours, 20 minutes.

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Solve the following system of equations: 2x + 4y − 3z = −7 3x + y + 4z = −12 x + 3y + 4z = 4
lukranit [14]

2x + 4y − 3z = −7 ---> first equation

3x + y + 4z = −12   ---> second equation

x + 3y + 4z = 4   ---> third equation

We try to eliminate z  and make two equations

Multiply first equation by 4 and second equation by 3. then add both equations

8x + 16y -12z = -28

9x + 3y +12z = -36

----------------------------

17x + 19y = -64   ---------------> equation 4

multiply third equation by -1  and add second and third equation

3x + y + 4z = −12  

-x - 3y - 4z = -4    

-------------------------------------

2x -2y = -16        ---------------> equation 5

Multiply equation 4 by 2 and equation by 19

34x + 38y = -128

38x - 38y = -304

------------------------------------

72x  = -432

Divide by 72 on both sides

x = -6

use equation 2x -2y = -16        ---------------> equation 5

2(-6) - 2y = -16

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-2y = -4

So y = 2

Now plug in 2 for y  and -6 for x

Using any one of the three equations

x + 3y + 4z = 4  

-6 + 3(2) +4z = 4

4z = 4 (divide by 4 on both sides)

So z=1

So x= -6, y = 2  and z= 1





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3 years ago
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Eduardwww [97]

Answer:

H_0 : \mu_1 - \mu_2 = 0

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Step-by-step explanation:

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Considering the given options, the null hypothesis is that which contains =.

So, the null hypothesis is:

H_0 : \mu_1 - \mu_2 = 0

The opposite of = is \ne. So, the alternate hypothesis, is that which contains \ne

So, the alternate hypothesis is:

H_a : \mu_1 - \mu_2 \ne 0

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Answer:

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Step-by-step explanation:

I just found 6.75% of 75 and added it on

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