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pochemuha
3 years ago
7

A printer can print 60 pages in 4.8 minutes.

Mathematics
1 answer:
Eduardwww [97]3 years ago
6 0
It's: a) 16 and b) 90
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Teresa is going to make 3 batches of cookies. She needs 3/4 milk for each. Her measuring cup only holds 1/4 gallon. How many tin
Ainat [17]

Given :

Teresa is going to make 3 batches of cookies.

She needs 3/4 milk for each. Her measuring cup only holds 1/4 gallon.

To Find :

How many times will she need to fill up.

Solution :

Amount of milk need per batch, A = 3/4 gallon.

Measuring cup only holds, m = 1/4 gallon.

Number of times she need to fill up,

n = A/m = (3/4)/(1/4) = 3

Now, number of batches are three.

So, number of time she need to fill up in three batch.

N = n \times 3 \\\\N = 3 \times 3 \\\\N = 9

Therefore, this is the required solution.

4 0
2 years ago
A tank contains 60 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min
Natali5045456 [20]

The complete question is;

A tank contains 60 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 4 gal/min. Determine the amount of salt in the tank at any time

t, if the concentration in the inflow is variable and given by

c(t) = 2 + sin(t/4) lb/gal.

Answer:

dA/dt = (8 + 4sin(t/4)) - (A_t/100)

Step-by-step explanation:

Rate is given as;

dA/dt = R_in - R_out

R_in = (concentration of salt inflow) x (input rate of brine)

So, R_in = (2 + sin(t/4)) x 4 = (8 + 4sin(t/4))

The solution is being pumped out at the same rate, thus it is accumulating at the same rate.

After t minutes, there will be 400 + (0 x t) gallons left = 400 gallons left

Thus,

R_out =(concentration of salt outflow) x (output rate of brine)

R_out = (A_t/400) x 4 = A_t/100

Thus,

A_t = (100/t)(8t - 16cos(t/4) - 60)

Since we want to find the amount of salt, A(t), let's integrate;

Thus, A = 8t - 16cos(t/4) - (A_t/100)t

A = 60 from the question. Thus,

60 = 8t - 16cos(t/4) - (A_t/100)t

Let's try to make A_t the subject;

(A_t/100)t = 8t - 16cos(t/4) - 60

A_t = (100/t)(8t - 16cos(t/4) - 60)

3 0
3 years ago
5x + 6y = 16<br> -10x-12y = 25
Doss [256]

Answer:

  no solution

Step-by-step explanation:

There is no solution to this inconsistent system of linear equations. They describe parallel lines.

__

Adding twice the first equation to the second gives ...

  2(5x +6y) +(-10x -12y) = 2(16) +(25)

  0 = 57 . . . . . . . simplify. False

No values of x and y will make this statement true. There is NO SOLUTION to the system of equations.

6 0
2 years ago
Find the median of the following set of data. Round your answer to the nearest hundredth, if necessary.
Usimov [2.4K]

The correct answer is 35.2 because when you arrange them in order from least to greatest, the middle is 35.2




8 0
3 years ago
What is the solution of (x-9)^2/3=25 algebraicallt
AnnyKZ [126]

\bf \cfrac{(x-9)^2}{3}=25\implies (x-9)^2=75\implies \sqrt{(x-9)^2}=\sqrt{75}\implies x-9=\pm\sqrt{75} \\\\\\ x=\pm \sqrt{75}+9\implies x\approx \begin{cases} 17.66\\ -0.34 \end{cases}

7 0
3 years ago
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