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Oksana_A [137]
3 years ago
10

Which linear system of equations does the matrix represent 4 -7 -14 4 -12 4

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0
The given matrix represent the following linear system

   4x  - 7y = -12
-14x + 4y =    4

Good luck!!!
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A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e
iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), y=\frac{3x}{2}

From (3), z=\frac{5x}{4}

Substituting the above in (1), we get,

x+\frac{3x}{2} +\frac{5x}{4} =570

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = \frac{3(152)}{2}

y = 228

z = \frac{5(152)}{4}

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

<u>Check:</u>

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5


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Can I name my Angle VTS as STV? And use it interchangeably in proving?
swat32

Answer:

both angles are the same, so you can use it interchangeably in proving.

But i suggest you to mantain only one, because it's easier to understand and it looks better.

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a drone costs 300 plus 25 for tax for each set of extra propellers. what is the cost of a drone and 4 extra set of propellers​
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4 Extra Set Of Propellor = 4(25$) = $100
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The box plots show Theo’s math scores and language arts scores. About 50% of Theo’s scores are in which range for each subject?
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Step-by-step explanation:

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