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4 years ago

Help me with this math problem.

Mathematics

1 answer:

kherson [118]4 years ago

8 0

Answer:

158.333333

Step-by-step explanation:

do the percent correct divided by the number of questions then multiply it by 100

95/60=1.58333333

1.58333333*100=158.333333

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-29 19/40 as a decimal

Mariulka [41]

19 divided by 40 is .475 so it’s -29.475

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3 years ago

A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved. Brine containing 1 2 pound o

sertanlavr [38]

Answer:

Step-by-step explanation:

From the given information:

$R_{in} = ( \dfrac{1}{2} \ lb/gal) (6)\ gal /min \\ \\R_{in} = 3 \ lb/min$

Given that the solution is pumped at a slower rate of 4gal/min

Then:

$R_{out} = \dfrac{4A}{100+(6-4)t}$

$R_{out}= \dfrac{2A}{50+t}$

The differential equation can be expressed as:

$\dfrac{dA}{dt}+ \dfrac{2}{50+t}A = 3 \ \ \ ... (1)$

Integrating the linear differential equation; we have::

$\int_c \dfrac{2}{50 +t}dt = e^{2In |50+t|$

$\int_c \dfrac{2}{50 +t}dt = (50+t)^2$

multiplying above integrating factor fields; we have:

$(50 +t)^2 \dfrac{dA}{dt} + 2 (50 + t)A = 3 (50 +t)^2$

$\dfrac{d}{dt}\bigg [ (50 +t)^2 A \bigg ] = 3 (50 +t)^2$

$(50 + t)^2 A = (50 + t)^3+c$

A = (50 + t) + c(50 + t)²

Using the given conditions:

A(0) = 20

⇒ 20 = 50 + c (50)⁻²

-30 = c(50) ⁻²

c = -30 × 2500

c = -75000

A = (50+t) - 75000(50 + t)⁻²

The no. of pounds of salt in the tank after 35 minutes is:

A(35) = (50 + 35) - 75000(50 + 35)⁻²

A(35) = 85 - $\dfrac{75000}{7225}$

A(35) =69.6193 pounds

A(35) $\simeq$ 70 pounds

Thus; the number of pounds of salt in the tank after 35 minutes is 70 pounds.

6 0

3 years ago

A computer sells for $ 900 $900dollar sign, 900 and loses 30 % 30%30, percent of its value per year. Write a function that gives

Kazeer [188]

Answer:

The value of the computer is given by $900(0.7)^{t}$ .

Step-by-step explanation:

A computer sells for $900.

If the price of the computer loses 30% of its value per year, then it is compounded every year.

Now, the price of the computer t years after it is sold will be

$900(1 - \frac{30}{100})^{t} = 900(0.7)^{t}$ ........... (1)

Therefore, the value of the computer is given by the above equation (1). (Answer)

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John walks in the bearing of 75° and stops when he is 12 km North of his starting point.

AlladinOne [14]

75 something 12 km north is where he at

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3 years ago

What is 1383882.8x92828.9 I need helpopoo

Musya8 [376]

The answer to 1383882.8 times 92829.9 is <span>128,464.318,053</span>

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3 years ago

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