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Karo-lina-s [1.5K]
3 years ago
10

PLEASE HELP WITH THIS QUESTION

Mathematics
1 answer:
DedPeter [7]3 years ago
3 0

I think the correct answer is c

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Which expression is equivalent to (9x - 3 1/8)-(7x + 1 3/8)
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2x - 4 1/2 is equivalent
7 0
2 years ago
Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another br
Lina20 [59]

Answer:

The differential equation for the amount of salt A(t) in the tank at a time  t > 0 is \frac{dA}{dt}=12 - \frac{2A(t)}{500+t}.

Step-by-step explanation:

We are given that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min.

The concentration of the solution entering is 4 lb/gal.

Firstly, as we know that the rate of change in the amount of salt with respect to time is given by;

\frac{dA}{dt}= \text{R}_i_n - \text{R}_o_u_t

where, \text{R}_i_n = concentration of salt in the inflow \times input rate of brine solution

and \text{R}_o_u_t = concentration of salt in the outflow \times outflow rate of brine solution

So, \text{R}_i_n = 4 lb/gal \times 3 gal/min = 12 lb/gal

Now, the rate of accumulation = Rate of input of solution - Rate of output of solution

                                                = 3 gal/min - 2 gal/min

                                                = 1 gal/min.

It is stated that a large mixing tank initially holds 500 gallons of water, so after t minutes it will hold (500 + t) gallons in the tank.

So, \text{R}_o_u_t = concentration of salt in the outflow \times outflow rate of brine solution

             = \frac{A(t)}{500+t} \text{ lb/gal } \times 2 \text{ gal/min} = \frac{2A(t)}{500+t} \text{ lb/min }

Now, the differential equation for the amount of salt A(t) in the tank at a time  t > 0 is given by;

= \frac{dA}{dt}=12\text{ lb/min } - \frac{2A(t)}{500+t} \text{ lb/min }

or \frac{dA}{dt}=12 - \frac{2A(t)}{500+t}.

4 0
3 years ago
Using the formula D= r•t where D equals distance traveled, r equals the average rate of speed and t equals the time traveled, ch
Mrrafil [7]
D = r• t
reverses the equation so that D and r are on the same side
d/r = t
200 \div 50 = 4
Sam travels 4 hours at a rate of 50 mph
4 0
2 years ago
What is 74,233 increased by 58,490
lawyer [7]
74,233 increased by 58,490 is 74,233 * 58,490 so its 4,341,888, 170. So 4 billion, 341 million, 888 thousand, 170.

Scientific notation is 4.34188817 * 10 to the 9th power.
8 0
3 years ago
Read 2 more answers
What inequality is shown here
Luda [366]

Answer:

Greater than or equal to.

Step-by-step explanation:

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