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Reptile [31]
2 years ago
6

A school was painted by 8 men in 6 days. How long would it have taken 24 men.

Mathematics
2 answers:
Mariulka [41]2 years ago
5 0

Answer:

18 days

Step-by-step explanation:

M 8/ D 6 = M 24/ D 18

Annette [7]2 years ago
5 0

Answer:

2 days

Step-by-step explanation:

As it took 8 men 6 days, it would take 24 men 2 days. This is because there are 3 times the men, with the same amount of area to paint.

You might be interested in
Use Gaussian elimination to write each system in triangular form
Feliz [49]

Answer:

To see the steps to the diagonal form see the step-by-step explanation. The solution to the system is x =  -\frac{1}{9}, y= -\frac{1}{9}, z= \frac{4}{9} and w = \frac{7}{9}

Step-by-step explanation:

Gauss elimination method consists in reducing the matrix to a upper triangular one by using three different types of row operations (this is why the method is also called row reduction method). The three elementary row operations are:

  1. Swapping two rows
  2. Multiplying a row by a nonzero number
  3. Adding a multiple of one row to another row

To solve the system using the Gauss elimination method we need to write the augmented matrix of the system. For the given system, this matrix is:

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

For this matrix we need to perform the following row operations:

  • R_2 - 1 R_1 \rightarrow R_2 (multiply 1 row by 1 and subtract it from 2 row)
  • R_3 + 1 R_1 \rightarrow R_3 (multiply 1 row by 1 and add it to 3 row)
  • R_4 - 1 R_1 \rightarrow R_4 (multiply 1 row by 1 and subtract it from 4 row)
  • R_2 \leftrightarrow R_3 (interchange the 2 and 3 rows)
  • R_2 / 2 \rightarrow R_2 (divide the 2 row by 2)
  • R_1 - 1 R_2 \rightarrow R_1 (multiply 2 row by 1 and subtract it from 1 row)
  • R_4 - 1 R_2 \rightarrow R_4 (multiply 2 row by 1 and subtract it from 4 row)
  • R_3 \cdot ( -1) \rightarrow R_3 (multiply the 3 row by -1)
  • R_2 - 1 R_3 \rightarrow R_2 (multiply 3 row by 1 and subtract it from 2 row)
  • R_4 + 3 R_3 \rightarrow R_4 (multiply 3 row by 3 and add it to 4 row)
  • R_4 / 4.5 \rightarrow R_4 (divide the 4 row by 4.5)

After this step, the system has an upper triangular form

The triangular matrix looks like:

\left[\begin{array}{cccc|c}1 & 0 & 0 & -0.5 & -0.5  \\0 & 1 & 0 & -0.5 & -0.5\\0 & 0 & 1 & 2 &  2 \\0 & 0 & 0 & 1 &  \frac{7}{9}\end{array}\right]

If you later perform the following operations you can find the solution to the system.

  • R_1 + 0.5 R_4 \rightarrow R_1 (multiply 4 row by 0.5 and add it to 1 row)
  • R_2 + 0.5 R_4 \rightarrow R_2 (multiply 4 row by 0.5 and add it to 2 row)
  • R_3 - 2 R_4 \rightarrow R_3(multiply 4 row by 2 and subtract it from 3 row)

After this operations, the matrix should look like:

\left[\begin{array}{cccc|c}1 & 0 & 0 & 0 & -\frac{1}{9}  \\0 & 1 & 0 & 0 &   -\frac{1}{9}\\0 & 0 & 1 & 0 &  \frac{4}{9} \\0 & 0 & 0 & 1 &  \frac{7}{9}\end{array}\right]

Thus, the solution is:

x =  -\frac{1}{9}, y= -\frac{1}{9}, z= \frac{4}{9} and w = \frac{7}{9}

7 0
3 years ago
Can someone help me fast I need to get this to a 90 I have it at 80 rn
vova2212 [387]
-1/2 is the slope of the line!
4 0
2 years ago
HELP PLEASSEEEE I NEED TO FIND THE MISSING SIDE HYPOTENUSE
ZanzabumX [31]

Answer:

B. 6.5

Step-by-step explanation:

You can use the 5 against the unknown number and  add a few more moves which makes it 6.5.. It's easier in my head man.

3 0
2 years ago
you draw two marbles without replacement from a bag containing four red marbles, two Yellow Marbles and five blue marbles, find
AleksAgata [21]

A bag contains four red marbles, two Yellow Marbles and five blue marbles.

Two marbles are drawn at random without replacement.

Total number of marbles are,

4\text{ + 2 + 5 = 11}

There are 11 ways to select first marble and 10 ways to select second marble.

The total number of possible outcomes are calculated as,

Total\text{ number of outcomes = 11 }\times\text{ 10 = 110 }

Thus the total number of possible outcomes are 110.

7 0
1 year ago
HELP! What is AB? WILL GIVE BRAINLIEST!
Natalija [7]
AB = BC

3x-4=5x-10
-4=2x-10
6=2x
3=x

AB = 3x-4
AB = 3 (3)-4
AB = 9-4
AB =5

Therefore, AB is 5.

BC = 5x-10
BC = 5(3)-10
BC = 15-10
BC= 5
3 0
3 years ago
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