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Elan Coil [88]
2 years ago
11

What is the value for "m" that makes the equation true?

Mathematics
1 answer:
Anna11 [10]2 years ago
3 0
Hi I think the answer is 24 hope that’s right
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In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended s
viva [34]

Answer:

Concentration = 8.26kg/m^3

Step-by-step explanation:

Given

  V = 440000L --- volume of tank

m = 10,000 kg --- solid mass

r = 40000L/hr --- outflow rate  

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

Amount = r * Time

Amount = 40000L/hr * 4hr

Amount = 40000L * 4

Amount = 160000L

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

Ratio = \frac{Amount}{Volume}

Ratio = \frac{160000L}{440000L}

Ratio = \frac{16}{44}

Ratio = \frac{4}{11}

Next, calculate the amount of solid left.

Amount (Solid)= Ratio * m

Amount (Solid)= \frac{4}{11} * 10000kg

Amount (Solid)= \frac{40000}{11}kg

Amount (Solid)= 3636kg

Lastly, the concentration is calculated as:

Concentration = \frac{Amount (Solid)}{Volume}

Concentration = \frac{3636kg}{440000L}

Convert L to cubic meters

Concentration = \frac{3636kg}{440000* 0.001m^3}

Concentration = \frac{3636kg}{440m^3}

Concentration = 8.26kg/m^3

3 0
3 years ago
I need help pleaseee!!
solong [7]

Answer:

y=60^\circ

Step-by-step explanation:

m\angle y\:=\:\frac{1}{2}\:m \angle {120^\circ}\\\\=60^\circ

Best Regards!

8 0
3 years ago
A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the
Wittaler [7]

Answer:

The surface area of the given pyramid is 112 inches^{2}.

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = length^{2}

                            = 4^{2}

                            = 16

Area of its base = 16 inches^{2}

Area of one of its triangular surface = \frac{1}{2} x base x height

                                 = \frac{1}{2} x 4 x 12

                                 = 2 x 12

                                 = 24 inches^{2}

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 inches^{2}

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 inches^{2}

The surface area of the given pyramid is 112 inches^{2}.

8 0
3 years ago
How is estimation helpful when dividing multi-digit numbers.
Burka [1]
See, when you are traveling, you might get lost. if so, just remember "I need to go between _ and _ miles" estimating and rounding to the nearest number with 0 wiil help.
5 0
3 years ago
Can someone please help me I will be forever grateful
Dominik [7]

Answer:

66 feet

Step-by-step explanation:

30+30=30 feet

6+6=12 yards

1 yard=3 feet

12*3=36

30+36=66

5 0
3 years ago
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