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podryga [215]
3 years ago
13

Which of the following is a solution to the system of equations? y= 3x-2 6 + y=-x

Mathematics
2 answers:
AlladinOne [14]3 years ago
3 0

Answer:

x=-1  y = -5

Step-by-step explanation:

y= 3x-2  

6 + y=-x

Substitute the first equation into the second equation

6 +y =-x

6+ (3x-2) = -x

Combine like terms

4 + 3x = -x

Subtract 3x from each side

4 +3x -3x = -x -3x

4 = -4x

Divide by -4

4/-4  = -4x/-4

-1 =x

Now we need to find y

y= 3x-2

y = 3(-1) -2

  = -3-2

   = -5

DochEvi [55]3 years ago
3 0

Answer:

(-1, -5)

Step-by-step explanation:

We can solve this system using substitution.  y = 3x - 2, so replace "y" in the second equation with "3x - 2:"

6 + (3x - 2) = -x, or 6 + 3x - 2 = -x

Group like terms together:  3x + x = -6 + 2.

Then 4x = -4, and x = -1.

Subst. -1 for x in the first equation:  y = 3(-1) - 2, or y = -5.

Then the solution is (-1, -5).

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The volume of a solid cylinder is 1584 cubic cm and its height is 14 cm. The radius is
enyata [817]

Answer: 6 cm

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Volume of a cylinder (V): π x radius ² x height  

Replacing with the values given and solving for v (Volume)  

1584 = π x r ² x 14

Solving for r:

1584 / (π x 14) = r²

36.01 = r²

√36.01 = r

6 cm = r

In conclusion, the radius of the cylinder is 6 centimeters.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Read 2 more answers
Isaac applied the steps below to find the product of (4.2)(–5.4). Step 1: (4.2)(–5.4) = (–5.4)(4.2) Step 2: = (–5.4)(4) + (–5.4)
Troyanec [42]

Answer:Isaac applied the distributive property in Step 2.

7 0
2 years ago
You get 23,254 as your answer enter your solution someone please help me
vodomira [7]

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Step-by-step explanation:

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6 0
3 years ago
There is a bag filled with 4 blue, 3 red and 5 green marbles.
Vsevolod [243]
<h2>The chances of receiving two greens are 5/31.</h2>

<em>Given a bag containing four blue, three red, and five green marbles, the total result is:</em>

<em>Total number of balls = 4 + 3 + 5 = 12</em>

<em>If green is chosen first, the chances of picking a green are 5/12.</em>

<em>The probability that the second stone is green is 4/11 if it is picked and not replaced (4 greens remaining)</em>

<em>The chance of earning two greens is 5/12 4/11.</em>

<em>The chance of getting two greens is 20/132.</em>

<em>The chance of earning two greens is 5/31.</em>

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7 0
3 years ago
Fatima is shaping this model to show 0.08 x 3. shade the correct amount of boxes that will show the product. fatima should shade
julia-pushkina [17]

Answer:

Fatima should shade 3 groups of 8 small squares or 24  small squares.

Step-by-step explanation:

Consider the provided information.

Fatima is shading this model to show 0.08 × 3. Shade the correct  amount of boxes that will show the product.

Here 3 represents the number of groups and 8 represents the small square.

Multiplication is repeated addition.

We can rewrite the above multiplication as: 0.08 + 0.08 + 0.08

Therefore 0.08 × 3 = 0.24

Here 0.24 represents 24 small squares.

The required model is shown below:

Hence, Fatima should shade 3 groups of 8 small squares or 24  small squares.

8 0
3 years ago
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