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Zepler [3.9K]
3 years ago
5

Solve the system of equations.

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Given the 2 equations

3x - 2y = 6 → (1)

5x + 4y = 32 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

6x - 4y = 12 → (3)

Add (2) and (3) term by term to eliminate y

11x = 44 ( divide both sides by 11 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (2)

5(4) + 4y = 32

20 + 4y = 32 ( subtract 20 from both sides )

4y = 12 ( divide both sides by 4 )

y = 3

Solution is (4, 3 ) → B

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a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes d
nekit [7.7K]

Answer:

192

Step-by-step explanation:

at 1/4 unit length, each side of one cubic unit would be 4.

so each cubic unit would consist of 4x4x4 = 64 of the 1/4 cubic units.

64 x 3 = 192

4 0
3 years ago
Read 2 more answers
In ATUV, TV is extended through point V to point W,
Anuta_ua [19.1K]

Answer:

m∠UVW = 53°

Step-by-step explanation:

From the picture attached,

m(∠VTU) = (x - 2)°

m(∠TUV) = (2x + 11)°

m(∠UVW) = (6x - 15)°

Since, ∠UVW is the exterior angle of the ΔTUV,

By the triangle sum theorem,

m∠VTU + m(∠TUV) + m(∠UVW) = 180°

(x - 2)° + (2x + 11)° + (6x - 15)° = 180°

9x - 6 = 180

9x = 186

x = \frac{186}{9}

x = \frac{62}{3}

By the property of exterior angle of a triangle,

m(∠UVW) = m(∠VTU) + m(TUV)

                = (x - 2) + (2x + 11)

                = 3x - 9

Now by substituting the value of x,

(3x - 9)° = 3(\frac{62}{3})-9

           = 62 - 9

           = 53°

Therefore, m∠UVW = 53°

6 0
3 years ago
Solve the rational equation 5/x = 4x+1/x^2
Irina18 [472]

Answer:

x = 1

Step-by-step explanation:

Set up the rational expression with the same denominator over the entire equation.

Since the expression on each side of the equation has the same denominator, the numerators must be equal

5x =4x+1

Move all terms containing x to the left side of the equation.

Hope this can help you

7 0
4 years ago
Is the following shape a square? How do you know?
nevsk [136]

Answer:

C. Yes the opposite sides are parallel and all sides are the same length.

Step-by-step explanation:

Hello! The answer is C. A square is, "a plane figure with four equal straight sides and four right angles." Looking at the shape, it matches the definition. Therefore, C. Have an awesome day! :)

3 0
3 years ago
Make x the subject of the formula 6x+a=5
Tatiana [17]
You would -a to get 6x=5-a then divide by 6 which you would get your final answer which is x=5-a/6
7 0
3 years ago
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