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2 years ago

Pls help me I promise I’ll mark u brainleiest if I type in the fastest answer

Mathematics

2 answers:

worty [1.4K]2 years ago

7 0

Answer:

1. $-50

2. $25

Step-by-step explanation:

We know that Clare originally had $150 in her account. She then buys a bike, which means she must have taken money out of her account for this purchase.

Since she spent $200, we need to subtract 200 from 150:

150 - 200 = -50

So, her account balance is $-50.

Clare earns $75 later, which means she's receiving the money and can add it back into her account. Her current balance is -50, so we add 75 to -50:

-50 + 75 = $25

Thus, her account balance is now $25.

<em>~ an aesthetics lover</em>

Sever21 [200]2 years ago

4 0

Answer:

1. $-50

2. $25

Step-by-step explanation:

1. If she had $150 in her bank account and bought a bike for $200, then that means she spent all of her money PLUS $50 extra then what she had. That means $200-$150=$50. Her $150 is spent and that $50 becomes negative because she paid $200 when she only had $150.

2. If she deposits $75 in her account then it will be $75+(-50). That translates to $75-$50 which is $25.

+ and - = -

+ and + = +

- and - = +

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A 1000-liter (L) tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 50 g/L flo

djverab [1.8K]

Answer:

a) $y(t)=50000-49990e^{\frac{-2t}{25}}$

b) $31690.7 g/L$

Step-by-step explanation:

By definition, we have that the change rate of salt in the tank is $\frac{dy}{dt}=R_{i}-R_{o}$ , where $R_{i}$ is the rate of salt entering and $R_{o}$ is the rate of salt going outside.

Then we have, $R_{i}=80\frac{L}{min}*50\frac{g}{L}=4000\frac{g}{min}$ , and

$R_{o}=40\frac{L}{min}*\frac{y}{500} \frac{g}{L}=\frac{2y}{25}\frac{g}{min}$

So we obtain. $\frac{dy}{dt}=4000-\frac{2y}{25}$ , then

$\frac{dy}{dt}+\frac{2y}{25}=4000$ , and using the integrating factor $e^{\int {\frac{2}{25}} \, dt=e^{\frac{2t}{25}$ , therefore $(\frac{dy }{dt}+\frac{2y}{25}}=4000)e^{\frac{2t}{25}$ , we get $\frac{d}{dt}(y*e^{\frac{2t}{25}})= 4000 e^{\frac{2t}{25}$ , after integrating both sides $y*e^{\frac{2t}{25}}= 50000 e^{\frac{2t}{25}}+C$ , therefore $y(t)= 50000 +Ce^{\frac{-2t}{25}}$ , to find $C$ we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions $y(0)=10$ , so $10= 50000+Ce^{\frac{-0*2}{25}}$

$10=50000+C\\C=10-50000=-49990$

Finally we can write an expression for the amount of salt in the tank at any time t, it is $y(t)=50000-49990e^{\frac{-2t}{25}}$

b) The tank will overflow due Rin>Rout, at a rate of $80 L/min-40L/min=40L/min$ , due we have 500 L to overflow $\frac{500L}{40L/min} =\frac{25}{2} min=t$ , so we can evualuate the expression of a) $y(25/2)=50000-49990e^{\frac{-2}{25}\frac{25}{2}}=50000-49990e^{-1}=31690.7$ , is the salt concentration when the tank overflows

4 0

2 years ago

-5/6+ -5/6 please help me

ehidna [41]

(-5/6)+(-5/6) have the same denominator (number at bottom of fraction), so all you have to do is add the numerator(top number). So -5 +-5 =-10 . Now you have -10/6, which simplifies to -5/3.
Hope this helps :)

5 0

2 years ago

Read 2 more answers

(ANSWER FOR FREE BRAINPOINTS!) (FIRST TO ANSWER GETS BAINLIEST) The local park has a rectangular swimming pool that measures 40

iren [92.7K]

Answer:

9 yards

Step-by-step explanation:

Since both pools are similar, therefore the ratio of their length and width would be equal. That is:

Length of the current swimming pool : length of the new swimming pool = width of the current swimming pool : width of the new swimming pool

Thus, we can set up a proportion as shown below:

Let the width of the new swimming pool be x.

40 : 24 = 15 : x

$\frac{40}{24} = \frac{15}{x}$

Cross multiply

$40*x = 15*24$

$40x = 360$

Divide both sides by 40

$x = \frac{360}{40}$

$x = 9$

The width of the new swimming that is smaller would be 9 yards.

4 0

2 years ago

Please solve the following question

Hoochie [10]

Question 1:

A = w * l

A = 5432m^2

l = 97

A / l = w

5432 / 97 = 56

w = 56

Question 2:

Perimeter of rectangle = 2w + 2l

P = 336

w = 79

P - 2w = 2l

336 - 158 = 178

178 / 2 = 89

l = 89

8 0

2 years ago

Three interior angles of a quardilateral have measures of 100 degress, 120 degress, and 80 degress. Find the foourth angle measu

Delicious77 [7]

Answer:

60 degrees

Step-by-step explanation:

100+120+80+x=360

300+x=360

x=60

8 0

2 years ago