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Inga [223]
3 years ago
11

Write the fractional equivalent (in reduced form) of each number.

Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Answer:

1) 1/10

2)16/100

3)6..../10

4) 3/5

Pls give me brainliest I rly need it!

Step-by-step explanation:

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7(a−3+4b)

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7a-7*3+7*4b

7a-21+28b

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Therefore, on day 2 and 3, we can determine the number of hybrid cars parked given the total number of cars parked using the ratio, and vice versa. 
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A large tank is filled to capacity with 300 gallons of pure water. brine containing 5 pounds of salt per gallon is pumped into t
Licemer1 [7]
If A(t) is the amount of salt in the tank at time t, then the rate at which this amount changes over time is given by the ODE

A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{5\text{ lb}}{1\text{ gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}

A'(t)+\dfrac1{100}A(t)=15

We're told that the tank initially starts with no salt in the water, so A(0)=0.

Multiply both sides by an integrating factor, e^{t/100}:

e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}
\left(e^{t/100}A(t)\right)'=15e^{t/100}
e^{t/100}A(t)=1500e^{t/100}+C
A(t)=1500+Ce^{-t/100}

Since A(0)=0, we have

0=1500+C\implies C=-1500

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A(t)=1500(1-e^{-t/100})

After 10 minutes, the amount of salt in the tank is

A(10)=1500(1-e^{-1/10})\approx142.74\text{ lb}
8 0
3 years ago
Choose the right symbol: <,>,= a)3- ... -8 b) -4 ... 10 c) 0 ... -1 d) +3 ... 0 e) -5 ... -|-5|
Gre4nikov [31]

Answer:

-3 > -8

-4 < 10

0 > -1

-5 = -5

Step-by-step explanation:

one is bigger than the other hopes this helps

7 0
3 years ago
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