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2 years ago

5x+2y=-4 -x+2y=8 Solve the system

Mathematics

1 answer:

maria [59]2 years ago

6 0

Subtract the second equation from the first.
.. (5x +2y) -(-x +2y) = (-4) -(8)
.. 6x = -12
.. x = -2

.. -(-2) +2y = 8
.. 2y = 6
.. y = 3

The solution is (x, y) = (-2, 3).

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JulijaS [17]

Answer:

x = 3

Step-by-step explanation:

we can use the Pythagorean theorem to solve this problem

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x^2 + 16 = 25

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2 years ago

Which set of transformations would prove triangle GFE ~ triangle GHI?

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Dilation of 1/2 and then a reflection over y=2

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Chandra has some one dollar bills and some five-dollar bills in her wallet. She has 11 bills. The value of the bills is $39. Sol

blsea [12.9K]

Answer:

She has 7 $5 dollar bills and 4 $1 dollar bills.

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3 years ago

Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your

Mamont248 [21]

Answer:

14 miles.

Step-by-step explanation:

Let the distance traveled from home to destination = x miles.

Speed while going to friend's house = 35 miles per hour.

Speed while coming back = 40 miles per hour.

Total Time taken for the journey = 45 minutes = 0.75 hours.

Let the time taken while going to friend's house = y hours.

Therefore, the time taken while going to friend's house = (0.75 - y) hours.

To find x and y, model the speeds of both the journeys.

Speed while going to friend's house = Distance/Time.

35 = x/y.

x = 35y (Equation 1).

Speed while coming back = Distance/Time.

40 = x/(0.75 - y).

x = 40(0.75 - y) (Equation 2).

Since x = x, therefore:

35y = 30 - 40y.

75y = 30.

y = 30/75.

y = 0.4 hours.

Put y = 0.4 hours in Equation 1:

x = 35y.

x = 35(0.4).

x = 14.

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3 years ago

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diego has 90 songs on his playlist. how many songs are there for each genre ? 40% rock , 10% country , 30% hip hop , the rest is

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Answer:

Diego playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

Step-by-step explanation:

Given:

Total Songs on playlist = 90

rock = 40%

country = 10%

hip hop = 30%

rest is electronica.

We need to find the number of songs in each genre.

rock = 40%

So Number of songs in rock genre = $\frac{40}{100}\times90 = 36\ songs$

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2 years ago

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