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den301095 [7]
3 years ago
11

5a +4b+c-3a-c+4b simplified

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

2a + 8b

Step-by-step explanation:

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Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt.
Oliga [24]

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

6 0
3 years ago
What fraction is equivalent to eight tentHs
aleksklad [387]
8/10 is equivalent to 4/5. just divide both 8 and 10 by 2
3 0
3 years ago
-4x -6 = 3 - 5x<br> Solve for x pls
ycow [4]

Answer:

x = 9

Explanation:

  • -4x - 6 = 3 - 5x
  • Add 6 to both sides

-4x - 6 + 6 = 3 - 5x + 6

-4x = -5x + 9

  • Add 5x to both sides

-4x + 5x = -5x + 9 + 5x

  • x = 9

- PNW

4 0
3 years ago
Read 2 more answers
Need answer asap, correct answer will get brainliest
Cloud [144]

Answer:

x+5

Step-by-step explanation:

When you move to the right or left , that's on the x axis. And since it's to the right, the x- coordinate becomes larger. Hope this helps!

6 0
3 years ago
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Pl help it’s for a grade show work if you can
Savatey [412]

Answer:

m degree 2

Step-by-step explanation:

mujhe 1 hii pata hai sorry

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