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Vlad1618 [11]
3 years ago
10

John paints 3 rooms in 7 hours. At the same pace how long would it take him to paint 10 rooms?

Mathematics
2 answers:
Bond [772]3 years ago
7 0
23 hours and 33 minutes.
7/3 = 2.333
10 * 2.333 = 23.33
dybincka [34]3 years ago
3 0
23 hours and 20 minutes I think. We already know that it takes him 21 hours to paint 9 rooms, so I multiplied 60 by 7 and got 420. I divided 420 by 3 and got 140. Which is 2 more hours and 20 minutes. Idk if it’s right but I tried
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A theater company made 6,000 programs for their current play. The play will have 20 performances. If they would like to have the
VashaNatasha [74]
Divide 6000 by 20
= 300 programs for each perfomance

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2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3
ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29

The associated matrix to the system is

\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

3.

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]

Using backward substitution we have that

0x_5=-140, then 0=-140 and this is absurd. Then The system is inconsistent.

4 0
4 years ago
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VladimirAG [237]
<h3>Answer:</h3>

D

<h3>Explanation:</h3>

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Graphs B and D open upward, but only graph D is translated downward (not upward, as in B).

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Answer:

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Step-by-step explanation:

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Answer:

greater than 16 and less than 25(easy)

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