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Effectus [21]
3 years ago
12

Find the lowest terms fraction that's equal to 0.33.

Mathematics
2 answers:
irinina [24]3 years ago
5 0
The answer is 33/100
Len [333]3 years ago
3 0

33/100

Step-by-step explanation:

we turned the number into a fraction

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What is the solution to the equation below? 2(x - 3) = 2x 5?
Westkost [7]
2 ( x - 3) = 2x 5
2x - 6 = 10x
2x - 10x = 6
-8x = 6
x = -6/8
x = -3/4

So, final answer is -3/4

Hope it helped
3 0
4 years ago
In 7 days, a group of workers can plant 56 acres. What is their rate in acres per day?
tamaranim1 [39]

Answer:

8

Step-by-step explanation:

56/7=8

5 0
4 years ago
Read 2 more answers
The table gives the probability distribution of the number of DVDs sold per day at a music store. What is the probability of 5 o
MrMuchimi

Answer:

C. 0.8125

Step-by-step explanation:

The probability to sell 5 or more DVDs in a day is the complement of the probability of selling less than 5 DVDs in a day, since sales <5 DVDs + sales >= 5 DVDs = 100% of the sales.

So, we know what's the probability of selling less than 5 DVDs in a day is... it's 0.1875

So, to find the possibility of selling 5 or more DVDs in a day, we take 100% of the chances (1.0) and we subtract the probability of selling <5 DVDs in a day:

P = 1.0 - 0.1875 = 0.8125

C. 0.8125 is your answer.

8 0
4 years ago
A tank contains 30 lb of salt dissolved in 500 gallons of water. A brine solution is pumped into the tank at a rate of 5 gal/min
Dmitry [639]

At any time t (min), the volume of solution in the tank is

500\,\mathrm{gal}+\left(5\dfrac{\rm gal}{\rm min}-5\dfrac{\rm gal}{\rm min}\right)t=500\,\mathrm{gal}

If A(t) is the amount of salt in the tank at any time t, then the solution has a concentration of \dfrac{A(t)}{500}\dfrac{\rm lb}{\rm gal}.

The net rate of change of the amount of salt in the solution, A'(t), is the difference between the amount flowing in and the amount getting pumped out:

A'(t)=\left(5\dfrac{\rm gal}{\rm min}\right)\left(\left(2+\sin\dfrac t4\right)\dfrac{\rm lb}{\rm gal}\right)-\left(5\dfrac{\rm gal}{\rm min}\right)\left(\dfrac{A(t)}{50}\dfrac{\rm lb}{\rm gal}\right)

Dropping the units and simplifying, we get the linear ODE

A'=10+5\sin\dfrac t4-\dfrac A{10}

10A'+A=100+50\sin\dfrac t4

Multiplying both sides by e^{10t} allows us to identify the left side as a derivative of a product:

10e^{10t}A'+e^{10t}A=\left(100+50\sin\dfrac t4\right)e^{10t}

\left(e^{10}tA\right)'=\left(100+50\sin\dfrac t4\right)e^{10t}

e^{10t}A=\displaystyle\int\left(100+50\sin\dfrac t4\right)e^{10t}\,\mathrm dt

Integrate and divide both sides by e^{10t} to get

A(t)=10-\dfrac{200}{1601}\cos\dfrac t4+\dfrac{8000}{1601}\sin\dfrac t4+Ce^{-10t}

The tanks starts off with 30 lb of salt, so A(0)=30 and we can solve for C to get a particular solution of

A(t)=10-\dfrac{200}{1601}\cos\dfrac t4+\dfrac{8000}{1601}\sin\dfrac t4+\dfrac{32,220}{1601}e^{-10t}

6 0
4 years ago
Find the length of AC
mr Goodwill [35]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\cot(A)  =  \frac{AC}{BC}  \\

\cot(60°)  =  \frac{AC}{8 \sqrt{3} }  \\

\frac{1}{ \sqrt{3} }  =  \frac{AC}{8 \sqrt{3} }  \\

\frac{AC}{8 \sqrt{ 3} }  =  \frac{1}{ \sqrt{3} }  \\

Multiply sides by 8√3

8 \sqrt{3} \times   \frac{AC}{8 \sqrt{3} }  = 8 \sqrt{3}  \times  \frac{ 1 }{ \sqrt{3} }  \\

AC = 8

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

7 0
3 years ago
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