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gavmur [86]
3 years ago
14

- I dot Multi-step aquations

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0

1) a= -1,  2) n=-2

3) x=4,   4) n=0

5) r=1,     6) r=2

7) No\,\,solution,     8) p=-12

9) m=2,    10) a=-3

11) x=4       12) n=-2

Step-by-step explanation:

We need to solve each equation.

1) 6a+5a = -11

Solving:

Adding like terms:

11a = -11

Divide both sides by 11

a= -1

2) -6n-2n=16

Solving:

Adding like terms:

-8n=16

Divide by -8

n=-2

3) 4x+6+3=17

Solving:

Adding like terms:

4x+9=17

Subtract 9 on both sides:

4x=17-9

4x=8

Divide both sides by 4

x=4

4) 0=-5n-2n

Solving:

0=-7n

Divide both side by -7

n=0

5) 6r-1+6r=11

Solving:

12r-1=11

Adding 1 on both sides

12r=12

Divide both sides by 12

r=1

6) r+11+8r=29

Solving:

9r+11=29\\9r=29-11\\9r=18\\r=2

7) -10=-14v+14v

Solving

-10=-14v+14v\\-10\neq 0\\No\,\,solution

8) -10p+9p=12

Solving:

-10p+9p=12\\-p=12\\p=-12

9) 42=8m+13m

Solving:

42=8m+13m\\42=21m\\m=42/21\\m=2

10) a-2+3=-2

Solving:

a-2+3=-2\\a+1=-2\\a=-2-1\\a=-3

11) 18=3(3x-6)

Solving:

18=3(3x-6)\\18=9x-18\\18+18=9x\\36=9x\\x=36/9\\x=4

12) 30=-5(6n+6)

Solving:

30=-5(6n+6)\\30=-30n-30\\30+30=-30n\\60=-30n\\n=60/-30\\n=-2

Keywords: Solving Polynomials

Learn more about solving Polynomials at:

  • brainly.com/question/12700460
  • brainly.com/question/1414350
  • brainly.com/question/4142886

#learnwithBrainly

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murzikaleks [220]

Answer:

Dh/dt  = 0.082 ft/min

Step-by-step explanation:

As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of  1 feet and height     h = 2 feet.

The volume of a circular cone is:

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Then differentiating on both sides of the equation we get:

DV(c)/dt   = 1/3* π*r² * Dh/dt   (1)

We know that DV(c) / dt   is  1 ft³ / 5 min      or     1/5  ft³/min

and  we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment

By proportion we know

r/h  ( at the top of the cone  0,5/ 2)   is equal to  r/0.5  when water is 1/2 foot deep

Then      r/h   =   0,5/2   =  r/0.5

r  =  (0,5)*( 0.5) / 2        ⇒   r  =  0,125 ft

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Dh/dt  = 1/ 5*0.01635

Dh/dt  = 0.082 ft/min

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