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kolezko [41]
3 years ago
11

A group of t tourists visits a museum. Thirty of the tourists go to see a planetarium show. The remaining tourists are divided e

venly into 4 groups to tour the exhibits. How many tourists are in each group that tours the exhibits?
(t – 30) tourists

(t/4-30) tourists

1/4(t-30) tourists

1/4(t+30) tourists
Mathematics
1 answer:
aleksley [76]3 years ago
5 0

lamo thought it said terrorists

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Bingel [31]

Answer:

First blank: 10

Second blank: 1

Step-by-step explanation:

For both i used an online converter:

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3 years ago
I need help with this slope problem​
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Answer:

what is it? you did not post the picture

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3 years ago
A tank with a capacity of 1600 L is full of a mixture of water and chlorine with a concentration of 0.0125 g of chlorine per lit
Veronika [31]

Answer:

y(t) = 20 [1600^(-5/3)] x (1600-24t)^ (5/3)

Step-by-step explanation:

1) Identify the problem

This is a differential equation problem

On this case the amount of liquid in the tank at time t is 1600−24t. (When the process begin, t=0 ) The reason of this is because the liquid is entering at 16 litres per second and leaving at 40 litres per second.

2) Define notation

y = amount of chlorine in the tank at time t,

Based on this definition, the concentration of chlorine at time t is y/(1600−24t) g/ L.

Since liquid is leaving the tank at 40L/s, the rate at which chlorine is leaving at time t is 40y/(1600−24t) (g/s).

For this we can find the differential equation

dy/dt = - (40 y)/ (1600 -24 t)

The equation above is a separable Differential equation. For this case the initial condition is y(0)=(1600L )(0.0125 gr/L) = 20 gr

3) Solve the differential equation

We can rewrite the differential equation like this:

dy/40y = -  (dt)/ (1600-24t)

And integrating on both sides we have:

(1/40) ln |y| = (1/24) ln (|1600-24t|) + C

Multiplying both sides by 40

ln |y| = (40/24) ln (|1600 -24t|) + C

And simplifying

ln |y| = (5/3) ln (|1600 -24t|) + C

Then exponentiating both sides:

e^ [ln |y|]= e^ [(5/3) ln (|1600-24t|) + C]

with e^c = C , we have this:

y(t) = C (1600-24t)^ (5/3)

4) Use the initial condition to find C

Since y(0) = 20 gr

20 = C (1600 -24x0)^ (5/3)

Solving for C we got

C = 20 / [1600^(5/3)] =  20 [1600^(-5/3)]

Finally the amount of chlorine in the tank as a function of time, would be given by this formula:

y(t) = 20 [1600^(-5/3)] x (1600-24t)^ (5/3)

7 0
3 years ago
Write the prime factorization of 500 in index form.
makvit [3.9K]

Answer:

2^{2} × 5^{3}

Step-by-step explanation:

500

= 2 x 250

= 2 x 10 x 25

= 2 x 2 x 5 x 5 x 5

= 2^{2} × 5^{3}

8 0
3 years ago
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Your parents have been advised to save 5% of their income for your college education, which would include money for housing, tui
kirill [66]

Answer:

$2447.40.

Step-by-step explanation:

We have been given that your parents have been advised to save 5% of their income for your college education, which would include money for housing, tuition, books, and fees. They had an average household income of $48,948.

Let us find 5% of average household income to find the savings of your parents in one year.

\text{Savings of your parents in one year}=\$48,948\times \frac{5}{100}

\text{Savings of your parents in one year}=\$48,948\times0.05

\text{Savings of your parents in one year}=\$2447.40

Therefore, your parents would have saved $2447.40 is one year.

4 0
3 years ago
Read 2 more answers
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