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elixir [45]
3 years ago
10

Franklin rode his bike 6 5/6 miles on Tuesday. He also rode his bike 5 5/6 miles on Thursday. What is the difference between the

distances he rode his bike
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0
The difference = miles rode on Tuesday - miles rode on Thursday.
6 5/6 - 5 5/6 = 1 mile


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Hurry 50 points for correct answer
Ad libitum [116K]

Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

Step-by-step explanation:

The equation x=\sqrt{6x+7} can be solved by squaring both sides:

x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

1 = \sqrt{-1}\\ 7 = \sqrt{49}

The square root of 49 equals 7, but the square root of -1 is an imaginary number.

The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

4 0
3 years ago
(2x+y=-2<br> 5x + 3y = -8<br> Solve by elimination
Effectus [21]

Answer:

y = -6, x =2

Step-by-step explanation:

To solve by elimination, you have to line both equations up together. Then, you multiply both equations until one variable is removed.

2x+y = -2

5x + 3y = - 8

There are many different ways to solve an elimination problem, but generally you should look for the simplest route. Here, I would multiply the top equation by -3.

-6x -3y = 6

5x +3y = -8

Imagine you are adding the two equations together. You end up with

-x = -2

Then solve for x. In this situation, it is fairly simple. Take out a factor of -1.

x = 2

Finally, choose one of your beginning equations and plug your new-found x value back into the equation.

2(2) +y = -2

4 + y = -2

y = -6

8 0
3 years ago
At a grocery store 4.5 pounds of meat cost $14.67. What is the cost of the meat per pound?
Elan Coil [88]

Answer:

$3.26

Step-by-step explanation:

If 4.5 pounds cost $14.67

You divide 14.67 by 4.5 which gives you 3.26

8 0
3 years ago
A wind turbine is located at the top of a hill where the wind blows steadily at 12 m/s, and stands 37 m tall. The air then exits
marta [7]

Answer:

Power generated = 4.315 kW

Step-by-step explanation:

Given,

  • speed of wind when enters into the turbine, V = 12 m/s
  • speed of wind when exits from the turbine, U = 9 m/s
  • mass flow rate of the wind, m = 137 kg/s

According to the law of conservation of energy

Energy generated = change in kinetic energy

Since, the air is exiting at same elevation. So, we will consider only kinetic energy.

Energy generated in one second will be given by,

E\ =\ \dfrac{1}{2}.mV^2-\dfrac{1}{2}.m.U^2

   =\ \dfrac{1}{2}\times 137\times (12)^2-\dfrac{1}{2}\times 137\times (9)^2

   =4315.5 J

   = 4.315 kJ

So, energy is generated in one second = 4.315 kJ

Power generated can be given by,

P\ =\ \dfrac{\textrm{energy generated}}{time}

And the energy is generated is already in per second so power generated will be 4.315 kW.

   

   

   

   

   

8 0
3 years ago
Alis needs 10 strips of ribbon each 2 and 1/2 feet. how much ribbon in all is needed
BlackZzzverrR [31]

Answer:

She needs 25 feet

Step-by-step explanation:

10 * 2.5 = 25

5 0
3 years ago
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