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2 years ago

1/2 plus 1/6 find each sum.

Mathematics

1 answer:

algol132 years ago

5 0

Step-by-step explanation:

I hope this helps.......

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(1 point) A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowi

Drupady [299]

Answer:

a. $\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c$

b. $x(t) = 6\frac{2}{3} \cdot c \cdot t$

c. $c = \dfrac{3}{8} \ g/L$

Step-by-step explanation:

a. The volume of water initially in the fish tank = 15 liters

The volume of brine added per minute = 5 liters per minute

The rate at which the mixture is drained = 5 liters per minute

The amount of salt in the fish tank after t minutes = x

Where the volume of water with x grams of salt = 15 liters

dx = (5·c - 5·c/3)×dt = 20/3·c = $6\frac{2}{3} \cdot c \cdot dt$

$\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c$

b. The amount of salt, x after t minutes is given by the relation

$\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c$

$dx = 6\frac{2}{3} \cdot c \cdot dt$

$x(t) = \int\limits \, dx = \int\limits \left ( 6\frac{2}{3} \cdot c \right) \cdot dt$

$x(t) = 6\frac{2}{3} \cdot c \cdot t$

c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;

$x(10) = 25 \ grams(15 \ in \ liters) = 6\frac{2}{3} \times c \times 10$

$6\frac{2}{3} \times c =\dfrac{25 \ grams }{10}$

$c =\dfrac{25 \ g/L }{10 \times 6\frac{2}{3} } = \dfrac{25 \ g/L}{10 \times \dfrac{20}{3} } =\dfrac{3}{200} \times 25 \ g/L= \dfrac{75}{200} \ g/L = \dfrac{3}{8} \ g/L$

$c = \dfrac{3}{8} \ g/L$

4 0

2 years ago

Area of rectangle is 5.68 sq cm length 0.4 cm. What is side length?

Alenkinab [10]

Answer:

If the Area is 5.68 then you have to dived 0.4 then you will get as your width 14.2

Step-by-step explanation:

L× W= A

and now

A÷L=W

6 0

3 years ago

What is the diffrence between 4x (4 to the power of x) and x4( x to the power of 4)? evalutate both of these expressions when x=

marusya05 [52]

The difference is that in 4x you are multiplying 4 two times and in x4 you are multiplying 2 four times so 4x will be 4*4and x4 will be 2*2*2*2

4 0

3 years ago

mr. Smith has twice as much money as mr. hairy the average amount of money they have is $489 how much money does mr. Smith have

Darya [45]

Ok, so this one requires you to set up an equation that makes sense....(mr. Smith + mr. Harry)/2= 489...that is the average money from the problem....ok so let’s add some variables now and make it look like math. 2x is mr smith from the first sentence. X is mr. Harry. This yields

(2x+x)/2=489.....use inverse operations to yield
2x+x=978

Combine like terms to get

3x=978

Then divide by 3
To give you x=326

What does x tell you?
X= harry = 326
2x = Smith = 652

To check add them together and divide by 2 to get the average....489

6 0

3 years ago

a traveler drove a hundred fifty miles on Thursday he went 12% further on Friday what was his total mileage for the two days?

Bond [772]

The answer is 168. 12% is also 0.12. 150(0.12) is 18. 150+18=168

5 0

3 years ago