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3 years ago

What percent is 373 out of 8007

Mathematics

1 answer:

I am Lyosha [343]3 years ago

8 0

The answer is <span>174% of 373=649.02</span>

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A 250-gal tank is initially filled with brine (salt-water mixture) containing 100 lb of salt. Brine containing 3 lb of salt per

gulaghasi [49]

Answer:

x(t) = 581.66 lb

Step-by-step explanation:

From the given information:

Consider the salt quantity in the tank at time t be x(t) lb.

∴ the rate of change of salt content in the tank is $\dfrac{dx}{dt}= Rate \ of \ \ inflow - rate \ of \ \ outflow$

where:

the rate of inflow = salt conc. × flow rate = 3 lb/gallon × 7 gallons

=21 lb/s

rate of outflow = salt conc. in the tank × flow rate

= x/250 × 9

= 9x/250 lb/s

∴

$\dfrac{dx}{dt} = 21 - \dfrac{9x}{250}$

$\dfrac{dx}{dt} + \dfrac{9x}{250}= 21$

This is a 1st order linear differentiation,

The integrating factor if $e^{^{ \int \dfrac{9}{250}\ dt}} = e^{^{ \dfrac{9t}{250} }}$

∴

$e^{^{ \dfrac{9t }{250}}} \ \ x(t) = \int 21 e^{\dfrac{9t}{250}} \ dt + C$

$e^{^{ \dfrac{9t }{250}}} \ \ x(t) = 21 \times \dfrac{250}{9}e^{\dfrac{9t}{250}} + C$

$x(t) = \dfrac{1750}{3}+Ce^{^{\dfrac{-9t}{250}}}$ at t = (0) and x(0) = 100 lb

Hence;

$100 = \dfrac{1750}{3}+C$

$C = \dfrac{1750}{3} -100$

$C = - \dfrac{1450}{3}$

∴ $x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9t}{250}}}$

after time t = 1 minute i.e 60 s

$x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9 \times 60}{250}}}$

$x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-540}{250}}}$

x(t) = 581.66 lb

5 0

3 years ago

24 students and Jamall's class are wearing tennis shoes there are 30 students in his class tomorrow says that 70% of his class i

alexdok [17]

10% = 3
70% = 3 * 7
= 21 students

Jamall is wrong because 70% of the class = to 21 students.

5 0

3 years ago

Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is select

GalinKa [24]

Answer:

0.006

Step-by-step explanation:

The probability that the first card is a six is 4/52.

There's one less card now, so the probability that the second card is nine is 4/51.

The total probability is:

P = (4/52) (4/51)

P ≈ 0.006

8 0

4 years ago

What is 2x-2(x-2y)+1/2(8x+6y) simplified?

julia-pushkina [17]

2x-2x+4y+4x+3y=4x+7y

6 0

4 years ago

41 tens×4hundreds=<br> 410×400=

weqwewe [10]

410x400 is correct and your answer would be 164,000.

7 0

3 years ago