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Grace [21]
3 years ago
13

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. y

=4x and 3x+2y=55 *
Mathematics
2 answers:
Alex73 [517]3 years ago
7 0

Answer:

(5,20)

Step-by-step explanation:

Because 3x+2(4x)=55 is then 11x=55, then divide the both by 11 to get x=5

The substitute y=4(5) because of x the get y=20

photoshop1234 [79]3 years ago
5 0
(5,20)

3x + 2(4x) = 55
3x + 8x = 55
11x = 55 / 11
x = 5

4(5) = 20
y = 20
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A library has at least 900 square feet to create a new study area. Each study cubicle uses 6 square feet, and each computer stat
lina2011 [118]

Answer:

6s + 8c ≥ 900

Step-by-step explanation:

The library has <em>at least</em> 900 square feet available. It means <em>900 or more</em>.

If s is the number of study cubicles and c is the number of computer stations, the total space occupied by them is 6s+8c. That space is 900 or more square feet, so our inequality is 6s + 8c ≥ 900

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3 years ago
7. Solve the equation using the quadratic formula.<br> 3x^2 = 2(2x+1)
suter [353]

Answer:

\rm x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}

Step-by-step explanation:

A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,

\rm\implies 3x^2=2(2x+1)

Open the brackets in RHS ,

\rm\implies 3x^2= 4x + 2

Transpose all the terms to LHS ,

\rm\implies 3x^2-4x-2=0

The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,

\rm\implies\red{ x =\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}

Using the quadratic formula , we have ,

\rm\implies x =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(3)(-2) }}{2(3)}

Simplify ,

\rm\implies x =\dfrac{4 \pm \sqrt{16+24 }}{6}

\rm\implies x = \dfrac{4\pm \sqrt{40}}{6}

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\rm\implies\boxed{\pink{\frak{ x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}}}}

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2 years ago
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Gwar [14]

Answer:

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Step-by-step explanation:

Each of the triangles is similar, so we have ...

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__

  4/5 = (4+y)/20

  y = 20(4/5) -4

  y = 12

__

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  u = 60(3/5) -3 -9

  u = 24

__

  4/5 = (4 +y +v)/60

  v = 60(4/5) -4 -12

  v = 32

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Step-by-step explanation:

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