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3 years ago

Solve the following equation for X to find the total number of people who downloaded songs for music site for a certain month.

Mathematics

2 answers:

quester [9]3 years ago

7 0

Answer:

960

Step-by-step explanation:

x=0.6x+384

0.4x=384

960

Goshia [24]3 years ago

7 0

Answer:

960

Step-by-step explanation:

x = 0.6x + 384

Subtract 0.6x in both sides:

0.4x = 384

Divide both sides by 0.4:

x = 384/0.4

x = 960

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tank contains 250 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5

eimsori [14]

Solution :

Given data :

$c_{in}$ = 1 g/L

$r_{in}$ = 5 L/min

$r_{out}$ = 5 L/min

$v_0$ = 250 L

$A_0$ = 20 g

∴ $r_{net} = r_{in}- r_{out}$

= 5 - 5

= 0

$c_{out} = \frac{A}{250} \ g/L$

Now, $\frac{dA}{dt}=(r_{in} \times c_{in}) - (r_{out} \times c_{out})$

$\frac{dA}{dt} = 5-5\left(\frac{A}{250}\right)$

$\frac{dA}{dt}+5 \left(\frac{A}{250}\right) = 5$

$\frac{dA}{dt}+5 \left(\frac{A}{250}\right) = 5 \text{ with} \ A_0 = 20$

Integrating factor = exp(5 t/250)

Therefore,

$A \times \exp (5t \ /250) = \text{integral of}\ 5 \times \exp (5t / 250) + C$

Put $A_0=250+C$

C = -230

$A \times \exp(5t/250) = 250 \exp(5t/250) + (-230)$

$A(t) = 250-230 \exp(-5t/250)$

$A(t) = 250-230e^{\left(\frac{-t}{50}\right)} \ g$

5 0

3 years ago

A certain kite has exactly one acute angle, and it measures 16 degrees. What is the maximum whole-number measure of the angle op

kvv77 [185]

Answer:

In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.

x + y + y + 16 = 360

x + y + y = 344 <----(360 -16)

Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.

x + 2y = 344

The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.

Step-by-step explanation:

x + 2(90) = 344

x + 180 = 344

x = 344-180

x = 164

THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*

4 0

3 years ago

Will give Brainlyest answer!

cluponka [151]

Answer:

Step-by-step explanation:

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3 years ago

I WILL GIVE THE BRAINLIEST

Hatshy [7]

Answer:

The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8

Step-by-step explanation:

Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.

18 - 10 = 8 dollars.

Now that we have the m and b values, we can create our equation.

The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.

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3 years ago

The area of the figure is Square units.

NeTakaya

Answer:

Step-by-step explanation:

Math

8 0

3 years ago

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