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guapka [62]
3 years ago
15

Beatrice started babysitting when she was in high school. She has built a reputation for herself and has become popular among th

e neighborhood parents. Beatrice charges $10/h and gets a $5 automatic tip. Beatrice needs $100 to buy a present for her mother. She wants to find out the minimum number of hours she needs to babysit at one job to get the money she needs.
(a) Write an inequality and solve it to help Beatrice figure out the minimum number of hours. Identify what the variable is and what it represents. Show your work. Justify each step in the solution.
(b) Graph the solution on a number line.
(c) Beatrice doesn’t charge for partial hours. What is the minimum number of hours that she needs to work at one job to make at least $100? Round your answer to the nearest hour. Justify your answer.
Mathematics
1 answer:
tester [92]3 years ago
3 0
6.6 hours to get 100 dollars because 15 goes into 100 6.6 times 

hope that helps

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Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water
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Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

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So resulting volume of tank at time t = 400 gallons

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i.e. \frac{dQ}{dt} =\frac{-Q(t)}{400}

This is a variable separable equation

\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = 70 e^{-\frac{t}{400}} and

A(0) = Q(0) = 70 lbs.

7 0
3 years ago
Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry for the function below.
telo118 [61]
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6 0
3 years ago
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kvasek [131]

Answer:

40

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x + (3x/50) = 42.4

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8 0
3 years ago
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zubka84 [21]

Answer:

4 units

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